Relevant bibliographies by topics / LMI (linear matrix inequality)

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'LMI (linear matrix inequality)'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'LMI (linear matrix inequality).'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "LMI (linear matrix inequality)"

1

Wang, Hai Yan. "Linear Matrix Inequality and its Application in Control Theory." Advanced Materials Research 853 (December 2013): 636–40. http://dx.doi.org/10.4028/www.scientific.net/amr.853.636.

Full text
Abstract:
As a result of linear matrix inequality (LMI) and its good nature of mathematics as well as the breakthrough of solution method, many control problems can be transformed into a standard LMI problem to solve. Linear matrix inequality has received widely attention and applications in control system analysis and design. This paper introduces some of the basic content of LMI, such as the general description, the relevant algorithms and software. The controller will be designed using LMI such that the closed-loop system is asymptotically stable, and simulation will be given using Matlab. Finally, the population model will be given and analyzed.
APA, Harvard, Vancouver, ISO, and other styles
2

Abdalla, M. O., K. M. Grigoriadis, and D. C. Zimmerman. "Structural Damage Detection Using Linear Matrix Inequality Methods." Journal of Vibration and Acoustics 122, no. 4 (2000): 448–55. http://dx.doi.org/10.1115/1.1287029.

Full text
Abstract:
In this work, linear matrix inequality (LMI) methods are proposed for computationally efficient solution of damage detection problems in structures. The structural damage detection problem that is considered consists of estimating the existence, location, and extent of stiffness reduction in structures using experimental modal data. This problem is formulated as a convex optimization problem involving LMI constraints on the unknown structural stiffness parameters. LMI optimization problems have low computational complexity and can be solved efficiently using recently developed interior-point methods. Both a matrix update and a parameter update formulation of the damage detection is provided in terms of LMIs. The presence of noise in the experimental data is taken explicitly into account in these formulations. The proposed techniques are applied to detect damage in simulation examples and in a cantilevered beam test-bed using experimental data obtained from modal tests. [S0739-3717(00)00104-5]
APA, Harvard, Vancouver, ISO, and other styles
3

Zhang, Hui. "The Application of Linear Algebra Algorithm in the Production of Linear Matrix Inequalities." Applied Mechanics and Materials 192 (July 2012): 406–11. http://dx.doi.org/10.4028/www.scientific.net/amm.192.406.

Full text
Abstract:
Discusses the theory and symbolic of the algorithm gives another potential application, but also in the system and control. For example, for the question, has made with special structure, but LMI problem data, may cause factorizations LMI more compact. One can even imagine using the algorithm around, looking for the opportunity to LMI automatic eliminate variables, so simplify problem solving, before they get a lot of influence and a potential solutions. We describe theory, the algorithm can be used to factor in the non commuting variable polynomial matrix and application system switches and control problem into a linear matrix inequality.
APA, Harvard, Vancouver, ISO, and other styles
4

Pai, Neng-Sheng, and Her-Terng Yau. "Robust Exponential Converge Controller Design for a Unified Chaotic System with Structured Uncertainties via LMI." Discrete Dynamics in Nature and Society 2010 (2010): 1–10. http://dx.doi.org/10.1155/2010/948590.

Full text
Abstract:
This paper focuses on the chaos control problem of the unified chaotic systems with structured uncertainties. Applying Schur-complement and some matrix manipulation techniques, the controlled uncertain unified chaotic system is then transformed into the linear matrix inequality (LMI) form. Based on Lyapunov stability theory and linear matrix inequality (LMI) formulation, a simple linear feedback control law is obtained to enforce the prespecified exponential decay dynamics of the uncertain unified chaotic system. Numerical results validate the effectiveness of the proposed robust control scheme.
APA, Harvard, Vancouver, ISO, and other styles
5

Deb Majumder, Samarpan. "Flight optimisation of missile using linear matrix inequality (LMI) approach." Journal of Engineering 2020, no. 7 (2020): 247–50. http://dx.doi.org/10.1049/joe.2019.0952.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Krokavec, Dušan, and Anna Filasová. "LMI Based Principles in Strictly Metzlerian Systems Control Design." Mathematical Problems in Engineering 2018 (July 17, 2018): 1–14. http://dx.doi.org/10.1155/2018/9590253.

Full text
Abstract:
The paper is concerned with the design requirements that relax the existing conditions reported in the previous literature for continuous-time linear positive systems, reformulating the linear programming approach by the linear matrix inequalities principle. Incorporating an associated structure of linear matrix inequalities, combined with the Lyapunov inequality guaranteeing asymptotic stability of positive system structures, the conditions are presented, with which the state-feedback controllers and the system state observers can be designed. A numerical example illustrates the proposed conditions.
APA, Harvard, Vancouver, ISO, and other styles
7

Zhao, De Gong, and Yue Chao Ma. "Robust Fault-Tolerant Control for a Class of Uncertain Discrete Time-Delay Systems." Advanced Materials Research 532-533 (June 2012): 521–26. http://dx.doi.org/10.4028/www.scientific.net/amr.532-533.521.

Full text
Abstract:
The problem of robust fault-tolerant control for the uncertain time-delay system with state and control delays is studied.The considered system has sensor or actuator failures.Based on Lyapunov stability theory and linear matrix inequality(LMI),a method of robust fault-tolerant against sensor or actuator failures for uncertain system was proposed via memoryless feedback control law.The sufficient for the closed-loop system possessing integrity against sensor or actuator failures are given.At the same time,the controller design method is the linear matrix inequality(LMI).Finally,the numerical example and simulations demonstrate the validity of the proposed method.
APA, Harvard, Vancouver, ISO, and other styles
8

Ren, Zerong, and Jun-kang Tian. "Stability Analysis of Systems with Interval Time-Varying Delays via a New Integral Inequality." Complexity 2020 (February 21, 2020): 1–7. http://dx.doi.org/10.1155/2020/2854293.

Full text
Abstract:
This paper focuses on delay-dependent stability analysis for systems with interval time-varying delays. Based on a new integral inequality and a generalized reciprocally convex combination matrix inequality, a new delay-dependent stability criterion is obtained in terms of a linear matrix inequality (LMI). Finally, the merits of the proposed criterion are shown by two numerical examples.
APA, Harvard, Vancouver, ISO, and other styles
9

Shi, Shuhui, Guoliang Wang, Jianhua Wang, and Hong Li. "Passive Control of Switched Singular Systems via Output Feedback." Mathematical Problems in Engineering 2015 (2015): 1–7. http://dx.doi.org/10.1155/2015/573950.

Full text
Abstract:
An instrumental matrix approach to design output feedback passive controller for switched singular systems is proposed in this paper. The nonlinear inequality condition including Lyapunov inverse matrix and controller gain matrix is decoupled by introducing additional instrumental matrix variable. Combined with multiple Lyapunov function method, the nonlinear inequality is transformed into linear matrix inequality (LMI). An LMI condition is presented for switched singular system to be stable and passive via static output feedback under designed switching signal. Moreover, the conditions proposed do not require the decomposition of Lyapunov matrix and its inverse matrix or fixing to a special structure. The theoretical results are verified by means of an example. The method introduced in the paper can be effectively extended to a single singular system and normal switched system.
APA, Harvard, Vancouver, ISO, and other styles
10

Shi, Hai Bin, and Li Qi. "Regional Pole Placement via Static Output Feedback Based on Coordinate Transformation." Advanced Materials Research 546-547 (July 2012): 916–21. http://dx.doi.org/10.4028/www.scientific.net/amr.546-547.916.

Full text
Abstract:
This paper focuses on the regional pole placement via static output feedback. Under proper state coordinate transformation with a free matrix variable, the static output feedback gain may be obtained by solving a linear matrix inequality (LMI). The LMI is feasible only if the poles of a dummy control system are in the given LMI region. The free matrix variable can regulate the dummy system as a state feedback gain matrix. So once the free variable is determined, the static output feedback gain matrix may be obtained by an LMI-based method. The main computations do not concern any reduction or enlargement of matrix inequalities. Numerical examples show the effectiveness of the proposed algorithm.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "LMI (linear matrix inequality)"

1

Pal, Anamitra. "Coordinated Control of Inter-area Oscillations using SMA and LMI." Thesis, Virginia Tech, 2012. http://hdl.handle.net/10919/41229.

Full text
Abstract:
The traditional approach to damp inter-area oscillations is through the installation of Power System Stabilizers (PSSs) which provide damping control action through excitation control systems of the generating units. However, study of recent blackouts has shown that the control action provided by a PSS alone is not sufficient for damping oscillations in modern power systems which operate under stressed conditions. An integrated form of control using remote measurements to coordinate the different control elements present in the system is the need of the hour. One way of implementing such a coordinated control is through the development of a Linear Matrix Inequality (LMI)-based polytopic model of the system that guarantees pole placement for a variety of operating conditions. The size of the polytopic formulation is an issue for application of LMIs to large systems. The use of Selective Modal Analysis (SMA) alleviates this problem by reducing the size of the system. The previous attempts have used a model containing all the and modes, with SMA being used to eliminate all the other states. In practical applications the resulting system was still found to be too large to use in a polytopic model. This thesis presents an algorithm to reduce the size of the system to the relevant modes of oscillations. A 16 machine, 68 bus equivalent model of the New England-New York interconnected power system is used as the test case with DC lines and SVCs acting as the control. The algorithm is then applied to a 127-bus equivalent model of the WECC System. The use of ESDs as a form of control is also demonstrated. The results indicate that the proposed control successfully damps the relevant modes of oscillations without negatively damping the other modes. The control is then transferred to a more detailed 4000+ bus model of the WECC system to realize its performance on real-world systems.<br>Master of Science
APA, Harvard, Vancouver, ISO, and other styles
2

Claase, Etienne H. "Robust multi-H2 output-feedback approach to aerial refuelling automation of large aircraft via linear matrix inequalities." Thesis, Stellenbosch : Stellenbosch University, 2013. http://hdl.handle.net/10019.1/80195.

Full text
Abstract:
Thesis (MScEng)--Stellenbosch University, 2013.<br>ENGLISH ABSTRACT: In recent years the aviation industry has shown an interest in the airborne refuelling of large transport aircraft to enable increased payload mass at take-off and to extend aircraft range. Due to the large volume of fuel to be transferred, a boom and receptacle refuelling system with a larger fuel transfer rate is employed. The refuelling operation is particularly difficult and strenuous for the pilot of the receiver aircraft, because the position of the receptacle relative to the tanker aircraft must be maintained within a narrow window for a relatively long period of time. The airborne refuelling of a large aircraft is typically much more difficult than that of a fighter aircraft, since the large aircraft is more sluggish, takes much longer to refuel, and has a relatively large distance between its refuelling receptacle and its centre of mass. These difficulties provide the motivation for developing flight control laws for Autonomous In-Flight Refuelling (AIFR) to alleviate the workload on the pilot. The objective of the research is to design a flight control system that can regulate the receptacle of a receiver aircraft to remain within the boom envelope of a tanker aircraft in light and medium turbulence. The flight control system must be robust to uncertainties in the aircraft dynamic model, and must obey actuator deflection and slew rate limits. Literature on AIFR shows a wide range of approaches, including Linear Quadratic Regulator (LQR), μ-synthesis and neural-network based adaptive control, none of which explicitly includes constraints on actuator amplitudes, actuator rates and regulation errors in the design/synthesis. A new approach to designing AIFR flight control laws is proposed, based on Linear Matrix Inequality (LMI) optimisation. The relatively new LMI technique enables optimised regulation of stochastic systems subject to time-varying uncertainties and coloured noise disturbance, while simultaneously constraining transient behaviour and multiple outputs and actuators to operate within their amplitude, saturation and slew rate limits. These constraints are achieved by directly formulating them as inequalities.<br>AFRIKAANSE OPSOMMING: Die lugvaart industrie toon huidiglik ’n belangstelling in die brandstof oordrag tussen twee groot vervoervliegtuie gedurende vlug, met die doel om die maksimum opstyggewig kapasiteit sowel as die maksimum ononderbroke vlugafstand vermoë van die hervulde vliegtuig te vermeerder. ’n Boom hervulling-stelsel word geïmplementeer om die hoë spoed van brandstof oordrag te voorsien. Die verrigting van vluggebonde hervulling van ’n groot, trae vliegtuig is moeiliker en meer veeleisend as bv. van ’n vegvliegtuig, veral vir die vlieënier van die hervulde vliegtuig, wat sy boom-skakel moet reguleer binne ’n relatiewe klein boom bewegingsruimte vir ’n relatiewe lang tydperk. Die kinematika betrokke speel ook ’n groter rol in ’n groot hervulde vliegtuig a.g.v. die langer afstand tussen die boom-skakel en die massa middelpunt/ draaipunt. Hierdie bied die motivering om ’n beheerstelsel te ontwikkel wat die taak outomaties uitvoer. Die doel van die navorsing is om ’n beheerstelsel te ontwerp wat die boom-skakel van die hervulde vliegtuig outomaties reguleer binne die bewegingsruimte van die boom, gedurende ligte en matige turbulensie. Daar word van die beheerder vereis om robuust te wees teen onsekerhede in die vliegtuig se meganika, sowel as om die beheer oppervlaktes en turbines van die vliegtuig binne hul defleksie-, wringkrag- en sleurtempo-perke te hou. Daar bestaan reeds ’n groot verskeidenheid van benaderings tot die outomatisering van luggebonde hervulling, onder andere LQR, μ-sintese en neurale-netwerk gebaseerde aanpasbare beheer, waarvan geeneen perke op aktueerders en regulasie foute direk in die ontwerp insluit nie. ’n Nuwe benadering word voorgestel wat gebaseer is op Linear Matrix Inequality (LMI) optimering. Die LMI tegniek is relatief nuut in die gebruik van beheerstelsel ontwerp. Dit stel die ontwerper in staat om ’n stogastiese stelsel, onderworpe aan tydvariante-stelsel-variasie en gekleurde ruis versteurings, optimaal te reguleer, terwyl aktueerders en stelsel gedrag direk beperk word.
APA, Harvard, Vancouver, ISO, and other styles
3

Vance, Katelynn Atkins. "Robust Control for Inter-area Oscillations." Thesis, Virginia Tech, 2011. http://hdl.handle.net/10919/36313.

Full text
Abstract:
In order to reduce the detrimental effects of inter-area oscillations on system stability, it is possible to use Linear Matrix Inequalities (LMIs) to design a multi-objective state feedback. The LMI optimization finds a control law that stabilizes several contingencies simultaneously using a polytopic model of the system. However, the number of cases to be considered is limited by computational complexity which increases the chances of infeasibility. In order to circumvent this problem, this paper presents a method for solving multiple polytopic problems having a common base case. The proposed algorithm determines the necessary polytopic control for a particular contingency and classifies the data as belonging to that polytopic domain. The technique has been tested on an 8-machine, 13 bus, system and has been found to give satisfactory results.<br>Master of Science
APA, Harvard, Vancouver, ISO, and other styles
4

Hansson, Jörgen. "Using Linear Fractional Transformations for Clearance of Flight Control Laws." Thesis, Linköping University, Department of Electrical Engineering, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-2041.

Full text
Abstract:
<p>Flight Control Systems are often designed in linearization points over a flight envelope and it must be proven to clearance authorities that the system works for different parameter variations and failures all over this envelope. </p><p>In this thesis µ-analysis is tried as a complement for linear analysis in the frequency plane. Using this method stability can be guaranteed for all static parameter combinations modelled and linear criteria such as phase and gain margins and most unstable eigenvalue can be included in the analysis. A way of including bounds on the parameter variations using parameter dependent Lyapunov functions is also tried. </p><p>To perform µ-analysis the system must be described as a Linear Fractional Transformation (LFT). This is a way of reformulating a parameter dependent system description as an interconnection of a nominal linear time invariant system and a structured parameter block. </p><p>A linear and a rational approximation of the system are used to make LFTs. These methods are compared. Four algorithms for calculation of the upper and lower bounds of µ are evaluated. The methods are tried on VEGAS, a SAAB research aircraft model. </p><p>µ-analysis works quite well for linear clearance. The rational approximation LFT gives best results and can be cleared for the criteria mentioned above. A combination of the algorithms is used for best results. When the Lyapunov based method is used the size of the problem grows quite fast and, due to numerical problems, stability can only be guaranteed for a reduced model.</p>
APA, Harvard, Vancouver, ISO, and other styles
5

Palmeira, Alessandra Helena Kimura. "Estabilidade de sistemas amostrados com atuadores saturantes em magnitude e taxa de variação." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2015. http://hdl.handle.net/10183/127742.

Full text
Abstract:
Neste trabalho, aborda-se o problema de estabilidade de sistemas com dados amostrados periodicamente, na presença de atuadores saturantes em posição e em taxa de variação. Os atuadores são modelados como sistemas de primeira ordem com saturação de entrada (saturação de magnitude) e do estado (saturação de taxa de variação). No modelo, considera-se que o sinal de controle é mantido constante entre dois instantes de amostragem consecutivos, enquanto as dinâmicas da planta linear e do atuador saturante são em tempo contínuo, i.e., não é feita discretização do sistema. O efeito da amostragem aperiódica é considerado através de um looped -funcional, derivado do funcional de Lyapunov-Krasovskii. O método desenvolvido relaciona uma função quadrática de Lyapunov e o funcional, considerando a amostragem assíncrona e o atuador saturante. Assim, se a derivada temporal do funcional ao longo das trajetórias do sistema for definida negativa, verifica-se que a função de Lyapunov é estritamente decrescente nos instantes de amostragem. Os efeitos das saturações são considerados por meio do uso da condição de setor generalizada. A partir do looped-funcional, da função de Lyapunov e das relações de setor generalizadas, são formuladas condições que permitem caracterizar a estabilidade e projetar ganhos estabilizantes da origem do sistema amostrado, em contexto local e global, através de algoritmos baseados na solução de LMIs. São propostas condições para maximização da estimativa da região de atração da origem ou, dado um conjunto de condições iniciais, para maximização do limite superior do intervalo de amostragem. As condições estabelecidas são válidas para o sistema com acesso a todos os estados, como também, no caso dos estados do atuador não estarem disponíveis `a medição.<br>This work addresses the problems of stability and stabilization of sampled-data systems taking into account aperiodic sampling and magnitude and rate saturating actuactors. The actuators are represented by a first-order system subject to input (magnitude saturation) and state (rate) saturation. In the considered model, the control signal is assumed to be constant between two successive sampling instants, while the dynamics of the linear plant and the saturating actuator are in continuous-time, i.e., no discretization is performed. The aperiodic sampling is taken into account from the method based on the input delay approach via looped-functional, derived from a time-dependent Lyapunov-Krasovskii functional. The developed method is based on a particular functional, that is related to a Lyapunov function. It is shown that if the time derivative of the looped- functional along the trajectories of the continuous-time system is strictly negative, then the Lyapunov function is strictly decreasing at sampling instants. The actuator saturations are taken into account from the use of a generalized sector condition. From the looped-functional, the Lyapunov function and the generalized sector conditions, the developed results lead to conditions that can be solved as LMI prob- lems for asymptotic stability assessment and stabilization local or global of the origin of the sampled-data system. Convex optimization problems are developed to com- pute an estimate of the region of attraction or, given a set of admissible initial conditions, compute the maximal admissible inter-sampling time for which the con- vergence of the trajectories to the origin is ensured. Theorical results are valid for systems with access to all the states, and also for the case that actuator states are not available to the measurement.
APA, Harvard, Vancouver, ISO, and other styles
6

Oliveira, Diogo Ramalho de [UNESP]. "Controle H∞ chaveado para sistemas não lineares incertos descritos por modelos fuzzy T-S considerando região de operação e saturação do sinal de controle." Universidade Estadual Paulista (UNESP), 2017. http://hdl.handle.net/11449/150960.

Full text
Abstract:
Submitted by DIOGO RAMALHO DE OLIVEIRA null (diogo.oliveira.ee@gmail.com) on 2017-06-22T14:35:42Z No. of bitstreams: 1 Tese_Diogo.pdf: 2317981 bytes, checksum: fa048901c893f57ba87ceec19383ae14 (MD5)<br>Approved for entry into archive by Luiz Galeffi (luizgaleffi@gmail.com) on 2017-06-22T17:28:20Z (GMT) No. of bitstreams: 1 oliveira_dr_dr_ilha.pdf: 2317981 bytes, checksum: fa048901c893f57ba87ceec19383ae14 (MD5)<br>Made available in DSpace on 2017-06-22T17:28:20Z (GMT). No. of bitstreams: 1 oliveira_dr_dr_ilha.pdf: 2317981 bytes, checksum: fa048901c893f57ba87ceec19383ae14 (MD5) Previous issue date: 2017-05-31<br>Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)<br>Esta tese propõe projetos de controle H∞ chaveado para uma classe de sistemas não lineares incertos descritos por modelos fuzzy Takagi-Sugeno (T-S) com funções de pertinência desconhecidas. Os projetos de controle necessitam somente dos limites inferiores e superiores das não linearidades do sistema, que podem depender de parâmetros incertos da planta. Em diversas aplicações práticas, em virtude das restrições operacionais dos equipamentos, no projeto de controle é necessário considerar que a lei de controle está sujeita à saturação do atuador. Primeiramente, utilizando uma metodologia encontrada na literatura para resolver o problema da saturação do atuador, propõe-se uma lei de controle chaveada que escolhe um ganho do controlador de realimentação do vetor de estado, que pertence a um conjunto de ganhos conhecidos, que minimiza a derivada da função de Lyapunov do tipo quadrática. Este procedimento elimina a necessidade de encontrar as expressões das funções de pertinência para implementar a lei de controle, garante um desempenho H∞ ao sistema realimentado e assegura que as trajetórias do vetor de estado permanecem dentro de uma região de operação na qual o modelo fuzzy T-S é válido. Adicionalmente, adota-se uma outra metodologia para resolver o problema da saturação do atuador, que utiliza o sinal de controle para compor um vetor de estado expandido. Desta forma, os limites do sinal de controle fazem parte da região de operação na qual o sistema não linear incerto é exatamente representado via modelos fuzzy T-S. Uma lei de controle chaveada, que utiliza a realimentação do vetor de estado expandido, é proposta. As condições de projeto evitam a presença de uma possível descontinuidade do sinal de controle, eliminam a necessidade de obter as expressões das funções de pertinência para implementar a lei de controle, garantem um desempenho H∞ e asseguram que as trajetórias do vetor de estado e do sinal de controle permanecem dentro de uma região de operação na qual o modelo fuzzy T-S é válido. Por fim, três exemplos são apresentados. O primeiro exemplo estuda o controle de um sistema caótico denominado Lorenz. Mostra que, para distúrbios de grande magnitude, os procedimentos propostos apresentaram melhores resultados do que os obtidos com outro método recentemente encontrado na literatura, que considera o pleno acesso às funções de pertinência. No segundo exemplo, uma implementação prática em um sistema de controle de uma suspensão ativa de bancada, considerando uma mola não linear e falha no atuador, confirma a eficácia da abordagem proposta. O último exemplo utiliza um pêndulo invertido para abordar o problema de controle considerando a estabilidade local do sistema. As simulações ilustram que o esquema proposto, que utiliza o vetor de estado expandido, é capaz de evitar uma possível descontinuidade do sinal de controle.<br>This thesis proposes local H∞ switched control designs for a class of uncertain nonlinear plants described by Takagi-Sugeno (T-S) fuzzy models with unknown membership functions. The control designs require only the lower and upper bounds of the system nonlinearities and of the system linear parameters, which can depend on uncertain parameters. In practical applications, due to the operational restrictions of the equipments, in the control design, it is necessary to consider that the control law is subject to actuator saturation. First, using a methodology found in the literature to solve the actuator saturation problem, one proposes a switched control law that chooses a state-feedback controller gain, which belongs to a given set of gains, that minimizes the time derivative of a quadratic Lyapunov function. This procedure eliminates the necessity of finding the membership function expressions to implement the control law, guarantees an H∞ performance and ensures that the state trajectory remains within a region in which the T-S fuzzy model is valid. In addition, the actuator saturation problem is approached with another methodology, using the control signal to compose an extended state vector. Then, the region in which the uncertain nonlinear system is exactly represented via T-S fuzzy models is composed by the bounds of the control signal. A switched control law, which chooses an extended state-feedback controller gain, is proposed. The design conditions avoid the presence of a possible discontinuity of the control signal, eliminate the necessity of finding the membership function expressions to implement the control law, guarantee an H∞ performance and ensure that the state trajectory and the control signal remain within a region in which the T-S fuzzy model is valid. Finally, three examples are presented. The first example studies the control of a chaotic Lorenz system. It shows that, for disturbances with large magnitude, the proposed procedures provided better results than the obtained with another recent method found in the literature, that considers full access to the membership functions. In the second example, a practical implementation of an active suspension control system, considering a nonlinear spring and an actuator fault, confirms the effectiveness of the proposed approach. The last example uses an inverted pendulum system to address the local stability control problem. The simulations illustrate that the control scheme, which uses the extended state vector, is able to avoid a possible discontinuity of the control signal.<br>CNPq: 142035/2013-0
APA, Harvard, Vancouver, ISO, and other styles
7

Oliveira, Diogo Ramalho de. "Controle H∞ chaveado para sistemas não lineares incertos descritos por modelos fuzzy T-S considerando região de operação e saturação do sinal de controle /." Ilha Solteira, 2017. http://hdl.handle.net/11449/150960.

Full text
Abstract:
Orientador: Marcelo Carvalho Minhoto Teixeira<br>Resumo: Esta tese propõe projetos de controle H∞ chaveado para uma classe de sistemas não lineares incertos descritos por modelos fuzzy Takagi-Sugeno (T-S) com funções de pertinência desconhecidas. Os projetos de controle necessitam somente dos limites inferiores e superiores das não linearidades do sistema, que podem depender de parâmetros incertos da planta. Em diversas aplicações práticas, em virtude das restrições operacionais dos equipamentos, no projeto de controle é necessário considerar que a lei de controle está sujeita à saturação do atuador. Primeiramente, utilizando uma metodologia encontrada na literatura para resolver o problema da saturação do atuador, propõe-se uma lei de controle chaveada que escolhe um ganho do controlador de realimentação do vetor de estado, que pertence a um conjunto de ganhos conhecidos, que minimiza a derivada da função de Lyapunov do tipo quadrática. Este procedimento elimina a necessidade de encontrar as expressões das funções de pertinência para implementar a lei de controle, garante um desempenho H∞ ao sistema realimentado e assegura que as trajetórias do vetor de estado permanecem dentro de uma região de operação na qual o modelo fuzzy T-S é válido. Adicionalmente, adota-se uma outra metodologia para resolver o problema da saturação do atuador, que utiliza o sinal de controle para compor um vetor de estado expandido. Desta forma, os limites do sinal de controle fazem parte da região de operação na qual o sistema não linear incerto é exatame... (Resumo completo, clicar acesso eletrônico abaixo)<br>Abstract: This thesis proposes local H∞ switched control designs for a class of uncertain nonlinear plants described by Takagi-Sugeno (T-S) fuzzy models with unknown membership functions. The control designs require only the lower and upper bounds of the system nonlinearities and of the system linear parameters, which can depend on uncertain parameters. In practical applications, due to the operational restrictions of the equipments, in the control design, it is necessary to consider that the control law is subject to actuator saturation. First, using a methodology found in the literature to solve the actuator saturation problem, one proposes a switched control law that chooses a state-feedback controller gain, which belongs to a given set of gains, that minimizes the time derivative of a quadratic Lyapunov function. This procedure eliminates the necessity of finding the membership function expressions to implement the control law, guarantees an H∞ performance and ensures that the state trajectory remains within a region in which the T-S fuzzy model is valid. In addition, the actuator saturation problem is approached with another methodology, using the control signal to compose an extended state vector. Then, the region in which the uncertain nonlinear system is exactly represented via T-S fuzzy models is composed by the bounds of the control signal. A switched control law, which chooses an extended state-feedback controller gain, is proposed. The design conditions avoid the presence o... (Complete abstract click electronic access below)<br>Doutor
APA, Harvard, Vancouver, ISO, and other styles
8

Gaye, Oumar. "Contrôle du profil de facteur de sécurité dans les plasmas de tokamak en dimension infinie." Angers, 2012. https://theses.hal.science/tel-00774718.

Full text
Abstract:
Les besoins énergétiques croissants de la population mondiale requièrent le développement, la maîtrise et la fourniture de nouvelles formes d'énergie. Dans ce contexte, la fusion nucléaire est une piste de recherche extrêmement prometteuse. Le projet mondial ITER est destiné à démontrer la faisabilité scientifique et technique de la fusion nucléaire comme nouvelle source d'énergie. Un des nombreux verrous tient à la maîtrise de la distribution spatiale du profil de courant dans les plasmas de tokamak, paramètre clé pour la stabilité et la performance des expériences. L'évolution spatiotemporelle de ce courant est décrite par un ensemble d'équations aux dérivées partielles non linéaires. Ce document traite de la stabilisation par un contrôle robuste de la distribution spatiale du profil de courant en dimension infinie. Deux approches sont proposées : la première s'inspire d'une approche de type mode glissant et la seconde (de type proportionnelle et proportionnelle intégrale) est basée sur les fonctions de Lyapunov en dimension infinie. La conception des lois de contrôle est basée sur l'équation 1D de la diffusion résistive du flux magnétique. Les lois de contrôle sont calculées en dimension infinie sans discrétisation spatiale préalables<br>The increasing energy needs of the world population require the development, the control and the supply of new forms of energy. In this context, nuclear fusion is a track of extremely promising research. World project ITER is intended to prove the scientific and technical feasibility of nuclear fusion. One of the many key-goal is the control of the current profile spatial distribution in plasmas of tokamak, which is one of the main parameter for the stability and the performance of the experiments. The spatiotemporal evolution of this current is described by a set of nonlinear partial differential equations. In this document stabilization is proposed considering robust control of current profile spatial distribution in infinite dimension. Two approaches are proposed : the first one is based on sliding mode approach and the second one (of type proportional and proportional integral) is based on the Lyapunov functions in infinite dimension. The design of the control law is based on the 1D equation resistive diffusion of the magnetic flux. The control laws are calculated in infinite dimension without space discretization
APA, Harvard, Vancouver, ISO, and other styles
9

Dos, Santos Paulino Ana Carolina. "Robust analysis of uncertain descriptor systems using non quadratic Lyapunov functions." Thesis, Strasbourg, 2018. http://www.theses.fr/2018STRAD049.

Full text
Abstract:
Les systèmes descripteurs incertains sont convenables pour la représentation des incertitudes d’un modèle, du comportement impulsif et des contraintes algébriques entre les variables d’état. Ils peuvent décrire bien plus de phénomènes qu’un système dynamique standard, mais, en conséquence, l’analyse des systèmes descripteurs incertains est aussi plus complexe. Des recherches sont menées de façon à réduire le degré de conservatisme dans l’analyse des systèmes descripteurs incertains. L’utilisation des fonctions de Lyapunov qui sont en mesure de générer des conditions nécessaires et suffisantes pour une telle évaluation y figurent. Les fonctions de Lyapunov polynomiales homogènes font partie de ces classes, mais elles n’ont jamais été employées pour les systèmes descripteurs incertains. Dans cette thèse, nous comblons ce vide dans la littérature en étendant l’usage des fonctions de Lyapunov polynomiales homogènes du cas incertain standard vers les systèmes descripteurs incertains<br>Uncertain descriptor systems are a convenient framework for simultaneously representing uncertainties in a model, as well as impulsive behavior and algebraic constraints. This is far beyond what can be depicted by standard dynamic systems, but it also means that the analysis of uncertain descriptor systems is more complex than the standard case. Research has been conducted to reduce the degree of conservatism in the analysis of uncertain descriptor systems. This can be achieved by using classes of Lyapunov functions that are known to be able to provide necessary and sufficient conditions for this evaluation. Homogeneous polynomial Lyapunov functions constitute one of such classes, but they have never been employed in the context of uncertain descriptor systems. In this thesis, we fill in this scientific gap, extending the use of homogeneous polynomial Lyapunov functions from the standard uncertain case for the uncertain descriptor one
APA, Harvard, Vancouver, ISO, and other styles
10

Daniel, Martin. "Optimalizace v řízení dynamických systémů." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2017. http://www.nusl.cz/ntk/nusl-316252.

Full text
Abstract:
Master’s thesis deals with using a linear matrix inequality (LMI) in control of a dynamic systems. We can define a stability of a dynamic system with a LMI. We can use a LMI for research if the poles of a system are in a given regions in the left half-plane of the complex plane with a LMI or we can use a LMI for a state feedback control. In the work we describe a desing of a controller minimizing a norm from an input to an output of the system. There is also a desing of a LQ controller with a LMI. In the end of the work, there are two examples of a design a LQ controller, which minimize the norm from the input to the output of the system and moves a poles of a dynamic system in a given regions in the complex plane, with the LMI. We use a LMI for a design a continuos LQ controller in the first example. In the second example we use a LMI for a design a discrete LQ controller.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Books on the topic "LMI (linear matrix inequality)"

1

service), SpringerLink (Online, ed. Mono- and Multivariable Control and Estimation: Linear, Quadratic and LMI Methods. Springer-Verlag Berlin Heidelberg, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

Laurent, El Ghaoui, and Niculescu Silviu-Iulian, eds. Advances in linear matrix inequality methods in control. Society for Industrial and Applied Mathematics, 2000.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

El Ghaoui, Laurent, and Silviu-lulian Niculescu, eds. Advances in Linear Matrix Inequality Methods in Control. Society for Industrial and Applied Mathematics, 2000. http://dx.doi.org/10.1137/1.9780898719833.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Ostertag, Eric. Mono- and Multivariable Control and Estimation: Linear, Quadratic and LMI Methods. Springer, 2013.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. Wiley-Interscience, 2001.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Wang, Hua O., and Kazuo Tanaka. Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. Wiley & Sons, Incorporated, John, 2008.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Wang, Hua O., and Kazuo Tanaka. Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. Wiley & Sons, Incorporated, John, 2004.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

Balas, Valentina Emilia, Rajeeb Dey, and Goshaidas Ray. Stability and Stabilization of Linear and Fuzzy Time-Delay Systems: A Linear Matrix Inequality Approach. Springer, 2018.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

Balas, Valentina Emilia, Rajeeb Dey, and Goshaidas Ray. Stability and Stabilization of Linear and Fuzzy Time-Delay Systems: A Linear Matrix Inequality Approach. Springer, 2017.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

Lam, Hak-Keung, and Allen Leung. Stability Analysis of Fuzzy-Model-Based Control Systems: Linear-Matrix-Inequality Approach. Springer, 2014.

Find full text
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "LMI (linear matrix inequality)"

1

Puntanen, Simo, George P. H. Styan, and Jarkko Isotalo. "The Cauchy–Schwarz Inequality." In Matrix Tricks for Linear Statistical Models. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-10473-2_21.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Zhang, Yunong, and Dongsheng Guo. "Time-Varying Linear Matrix-Vector Inequality." In Zhang Functions and Various Models. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-47334-4_6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Skelton, Robert E. "Linear Matrix Inequality Techniques in Optimal Control." In Encyclopedia of Systems and Control. Springer London, 2015. http://dx.doi.org/10.1007/978-1-4471-5058-9_207.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Skelton, Robert E. "Linear Matrix Inequality Techniques in Optimal Control." In Encyclopedia of Systems and Control. Springer London, 2014. http://dx.doi.org/10.1007/978-1-4471-5102-9_207-1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Skelton, Robert E. "Linear Matrix Inequality Techniques in Optimal Control." In Encyclopedia of Systems and Control. Springer London, 2019. http://dx.doi.org/10.1007/978-1-4471-5102-9_207-2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Skelton, Robert E. "Linear Matrix Inequality Techniques in Optimal Control." In Encyclopedia of Systems and Control. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-44184-5_207.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Kim, Moon Hwan, Jin Bae Park, Young Hoon Joo, and Ho Jae Lee. "Design of T–S Fuzzy Classifier via Linear Matrix Inequality Approach." In Fuzzy Systems and Knowledge Discovery. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11539506_53.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Yang, Xue-Min, Lin-Feng Gou, and Qiang Shen. "Research of Aero-Engine Robust Fault-Tolerant Control Based on Linear Matrix Inequality Approach." In Lecture Notes in Electrical Engineering. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21697-8_40.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Bayoumi, Ehab Hassan Eid, Hisham Soliman, and Farag El-Sheikhi. "Robust Decentralized Voltage Tracker of Islanded Multi-DG AC Microgrids Using Invariant Ellipsoids." In Advances in Environmental Engineering and Green Technologies. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-7447-8.ch001.

Full text
Abstract:
This chapter develops a robust decentralized voltage tracker for islanded MGs. The proposed controller is robust against the plug and play operation of the MG, loads, and line parameter uncertainties. The problem is solved in the framework of linear matrix inequality (LMI). The proposed robust control represents the load changes and the parameter variations of lines connecting the DGs as a norm-bounded uncertainty. The proposed controller utilizes local measurements from DGs (i.e., it is totally decentralized). Control decentralization is accomplished by decomposing the global system into subsystems. The effect of the rest of the system on a specific subsystem is considered as a disturbance to minimize (disturbance rejection control). The controller is designed by the invariant-sets (approximated by the invariant ellipsoids). Different time-domain simulations are carried out as connecting and disconnected one or more DGs, connecting and disconnecting local loads DGs and transmission line parameters variation.
APA, Harvard, Vancouver, ISO, and other styles
10

Wang, Zidong, Yurong Liu, and Xiaohui Liu. "On Complex Artificial Higher Order Neural Networks." In Artificial Higher Order Neural Networks for Economics and Business. IGI Global, 2009. http://dx.doi.org/10.4018/978-1-59904-897-0.ch021.

Full text
Abstract:
This chapter deals with the analysis problem of the global exponential stability for a general class of stochastic artificial higher order neural networks with multiple mixed time delays and Markovian jumping parameters. The mixed time delays under consideration comprise both the discrete time-varying delays and the distributed time-delays. The main purpose of this chapter is to establish easily verifiable conditions under which the delayed high-order stochastic jumping neural network is exponentially stable in the mean square in the presence of both the mixed time delays and Markovian switching. By employing a new Lyapunov-Krasovskii functional and conducting stochastic analysis, a linear matrix inequality (LMI) approach is developed to derive the criteria ensuring the exponential stability. Furthermore, the criteria are dependent on both the discrete time-delay and distributed time-delay, hence less conservative. The proposed criteria can be readily checked by using some standard numerical packages such as the Matlab LMI Toolbox. A simple example is provided to demonstrate the effectiveness and applicability of the proposed testing criteria.
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "LMI (linear matrix inequality)"

1

White, Andrew, Guoming Zhu, and Jongeun Choi. "A Linear Matrix Inequality Solution to the Input Covariance Constraint Control Problem." In ASME 2013 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/dscc2013-3716.

Full text
Abstract:
In this paper, the input covariance constraint (ICC) control problem is solved by a convex optimization with linear matrix inequality (LMI) constraints. The ICC control problem is an optimal control problem that is concerned with finding the best output performance possible subject to multiple constraints on the input covariance matrices. The contribution of this paper is the characterization of the control synthesis LMIs used to solve the ICC control problem. To demonstrate the effectiveness of the proposed approach a numerical example is solved with the control synthesis LMIs. Both discrete and continuous-time problems are considered.
APA, Harvard, Vancouver, ISO, and other styles
2

Harris, Matthew W., Behçet Açıkmeşe, and Eric van Oort. "LMI Based Control of Stick-Slip Oscillations in Drilling." In ASME 2014 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/dscc2014-6164.

Full text
Abstract:
This paper investigates control of stick-slip oscillations in drilling from a linear matrix inequality perspective. Stick-slip oscillations include a period of no angular motion at the bit caused by a large static friction torque followed by a period of rapid angular motion at the bit caused by a build up of torque in the drilling pipe. Many of the model parameters are uncertain but belong to convex sets, and the friction torques are not easily modeled. The linear matrix inequality approach facilitates design of state feedback controllers in the presence of polytopic uncertainties and can be optimized to reject disturbance effects relative to outputs. Results indicate that the linear matrix inequality approach leads to a simple controller, successfully alleviates the stick-slip problem, and is robust to uncertainties.
APA, Harvard, Vancouver, ISO, and other styles
3

Mosa, Magdi A., Ahmed A. Ali, Helmy M. El Zoghpy, Adel A. El Samahy, and A. M. Abdel Ghany. "Robust Control of DC Converter in DC Microgrid Applications Using Linear Matrix Inequality (LMI)." In 2019 IEEE Conference on Power Electronics and Renewable Energy (CPERE). IEEE, 2019. http://dx.doi.org/10.1109/cpere45374.2019.8980220.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Xie, Bo, and Bin Yao. "Multi-Objective Optimization of Tip Tracking Control Using LMI." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-81313.

Full text
Abstract:
This paper presented multi-objective optimization of tip tracking control for non-collocated flexible beam. The desired trajectory is specified at the tip displacement of the flexible structure, which undergoes translation base motion actuated by a linear motor. The system model is first formulated from modal truncation approach for the flexible structure representing a single Cartesian robot manipulator. The linear system model of the flexible structure always has structural uncertainties. Robust stability and robust performance on tip tracking can be expressed as H2/H∞ norm constraints, which are converted into the Linear Matrix Inequality (LMI). The multi-objective controller design is solved by the convex minimization. In order to reduce the conservatism generated when the same Lyapunov matrix is selected, the Lyapunov matrix is scaled for different norm constraints. Simulation results have demonstrated favorable tip tracking of the proposed robust controller.
APA, Harvard, Vancouver, ISO, and other styles
5

Levy, Itzhack, Nadav Berman, and Amit Ailon. "Robust Adaptive Nonlinear Controller for Robotic Systems: Linear Matrix Inequality Approach." In ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2008. http://dx.doi.org/10.1115/esda2008-59411.

Full text
Abstract:
In this paper the tracking problem of a robotic system with model uncertainty is considered via an application of the H∞ control theory for nonlinear systems. In particular, we develop a state feedback controller which yields a global exponential stability of the underlying system and provides the closed loop system with relatively low gains. The main ingredient which facilitates our development is the choice of a particular storage function (which serves as a Lyaponov function). This particular storage function leads to certain linear matrix inequalities, the solution of which yields the desired controller. Moreover, the resulting LMIs (Linear Matrix Inequalities) turn out to be of the same form of the LMIs achieved in the analogous linear case. Simulation results and implementation of the control algorithm in a two-degree of freedom robot illustrate the controller efficiency.
APA, Harvard, Vancouver, ISO, and other styles
6

Hencey, Brandon, and Andrew Alleyne. "A Static Anti-Windup Compensator Design Technique for Robust Regional Pole Placement." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-14653.

Full text
Abstract:
This paper develops a new method of designing anti-windup compensators using the concept of robust pole placement using linear matrix inequality (LMI) regions. The anti-windup problem seeks to minimize the closed loop performance deterioration due to input nonlinearities such as saturation for a given linear time-invariant plant and controller. Existing LMI-based anti-windup synthesis techniques do not explicitly provide a method to account for robust pole placement. This paper suggests a LMI-based method that not only attempts to minimize performance deterioration, but also explicitly restricts the anti-windup closed loop dynamics to an admissible set. Finally, the techniques discussed in this paper are demonstrated on a hydraulic test bed.
APA, Harvard, Vancouver, ISO, and other styles
7

Duan, Chang, and Fen Wu. "New Results on Continuous-Time Switched Linear Systems With Actuator Saturation." In ASME 2013 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/dscc2013-3789.

Full text
Abstract:
This paper further studies the analysis and control problems of continuous-time switched linear systems subject to actuator saturation. Using the norm-bounded differential inclusion (NDI) description of the saturated systems and the minimal switching rule, a set of switched output feedback controllers is designed to minimize the disturbance attenuation level defined by the regional ℒ2 gain over a class of energy-bounded disturbances. The synthesis conditions are expressed as bilinear matrix inequalities (BMIs) and can be solved by numerical search coupled with linear matrix inequality (LMI) optimization. Compared to the previous method based on polytopic differential inclusion (PDI), the proposed approach has good scalability and potentially renders better performance. Numerical examples are provided to verify effectiveness of the proposed approach.
APA, Harvard, Vancouver, ISO, and other styles
8

Wang, Yan, and Rajesh Rajamani. "A Sequential LMI Approach for Design of a Gain-Scheduled PID Controller for LPV Systems." In ASME 2017 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/dscc2017-5199.

Full text
Abstract:
This paper aims at developing a robust gain-scheduled proportional-integral-derivative (PID) control design method for a linear-parameter-varying (LPV) system. It is recognized in the literature that robust fixed-order controller design can be formulated as a feasibility problem of a bilinear matrix inequality (BMI) constraint. Unfortunately, the search for a feasible solution of a BMI constraint is a NP hard problem in general. A common way to solve this dilemma is to apply a linearization method, such as variable change method or congruence transformation, to transform the BMI into LMI. The applicability of the linearization method depends on the specific structure of the problem at hand and cannot be generalized. This paper formulates the gain-scheduled PID controller design as a feasibility problem of a quadratic matrix inequality (QMI) constraint, which covers the BMI constraint as a special case. An augmentation of the newly developed sequential LMI optimization method is proposed to search for a feasible solution of a QMI constraint iteratively. In the application part, a vehicle lateral control problem is presented to demonstrate the applicability of the proposed algorithm to a real-world output feedback control design.
APA, Harvard, Vancouver, ISO, and other styles
9

Baker, W. Alexander, Susan C. Schneider, and Edwin E. Yaz. "Robust H∞ Dynamic State-Feedback Control for Nonlinear Discrete-Time Systems via LMI-Based Regional Eigenvalue Assignment." In ASME 2016 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/dscc2016-9762.

Full text
Abstract:
This paper uses Linear Matrix Inequality (LMI) techniques to apply regional eigenvalue assignment constraints to a dynamic state-feedback controller design for discrete-time systems with vanishing nonlinear perturbations. The controller design also incorporates the H∞ performance criterion. The regional eigenvalue assignment place the eigenvalues of the linear part of the system in two distinct regions, one region for the controller eigenvalues and one region for the observer eigenvalues, in such a way that the state estimation error goes to zero significantly faster than the state reaches steady state.
APA, Harvard, Vancouver, ISO, and other styles
10

Han, Jeongheon, and Robert E. Skelton. "An LMI Optimization Approach to the Design of Structured Linear Controllers Using a Linearization Algorithm." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-43419.

Full text
Abstract:
This paper presents a new algorithm for the design of linear controllers with special constraints imposed on the control gain matrix. This so called SLC (Structured Linear Control) problem can be formulated with linear matrix inequalities (LMI’s) with a nonconvex equality constraint. This class of prolems includes fixed order output feedback control, multi-objective controller design, decentralized controller design, joint plant and controller design, and other interesting control problems. Our approach includes two main contributions. One is that many design specifications such as H∞ performance, generalized H2 performance including H2 performance, l∞ performance, and upper covariance bounding controllers are described by a similar matrix inequality. A new matrix variable is introduced to give more freedom to design the controller. Indeed this new variable helps to find the optimal fixed-order output feedback controller. The second contribution uses a linearization algorithm to search for a solution to the nonconvex SLC problems. This has the effect of adding a certain potential function to the nonconvex constraints to make them convex. Although the constraints are added to make functions convex, those modified matrix inequalities will not bring significant conservatism because they will ultimately go to zero, guaranteeing the feasibility of the original nonconvex problem. Numerical examples demonstrate the performance of the proposed algorithms and provide a comparison with some of the existing methods.
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'LMI (linear matrix inequality)' for particular source types:
Journal articles Dissertations / Theses
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography