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Journal articles on the topic 'Non linear systems synthesis'

Author: Grafiati

Published: 9 March 2023

Last updated: 10 March 2023

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1

SLOTINE, J. J. E., and J. A. COETSEE. "Adaptive sliding controller synthesis for non-linear systems." International Journal of Control 43, no. 6 (June 1986): 1631–51. http://dx.doi.org/10.1080/00207178608933564.

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2

Rehan, Muhammad, and Keum-Shik Hong. "Regional observer synthesis for locally Lipschitz non-linear systems." IET Control Theory & Applications 9, no. 16 (October 29, 2015): 2348–56. http://dx.doi.org/10.1049/iet-cta.2015.0315.

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3

de Oliveira, Maurı́cio C., and José C. Geromel. "Synthesis of non-rational controllers for linear delay systems." Automatica 40, no. 2 (February 2004): 171–88. http://dx.doi.org/10.1016/j.automatica.2003.09.004.

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4

Baños, Alfonso, Oded Yaniv, and Francisco J. Montoya. "Non-linear QFT synthesis by local linearization." International Journal of Control 76, no. 5 (January 2003): 429–36. http://dx.doi.org/10.1080/0020717031000067385.

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5

Li, S. C., and A. Nassirharand. "Non-linear proportional–integral–derivative synthesis for unstable non-linear systems using describing function inversion with experimental verification." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 226, no. 2 (August 25, 2011): 145–53. http://dx.doi.org/10.1177/0959651811417767.

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This paper demonstrates a new non-linear proportional–integral–derivative (PID) controller synthesis approach using a describing function inversion technique for unstable systems where a mathematical model may not be available. The approach is applied to an inverted pendulum experimental set-up whose dynamic behaviour is very sensitive to the amplitude level of excitation. The procedure involves stabilization of the unstable system followed by generation of the describing function models of the stabilized closed-loop system. Then, the corresponding unstable open-loop frequency domain models at various operating regimes are extracted. A controller at nominal conditions is designed, followed by obtaining the corresponding desired open-loop frequency domain model. A set of controllers that force the open-loop behaviour of the system mimic, which is desired at various operating regimes, is designed by optimization. Finally, the controller gains are inverted using a describing function inversion technique followed by experimental verification. The non-linear PID design is compared with two other alternative designs. The experimental results indicate that the proposed approach is a viable and effective non-linear controller synthesis technique for use with unstable non-linear systems.

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6

Pertew, A. M., H. J. Marquez *, and Q. Zhao. "H ∞ synthesis of unknown input observers for non-linear Lipschitz systems." International Journal of Control 78, no. 15 (October 15, 2005): 1155–65. http://dx.doi.org/10.1080/00207170500155488.

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7

Fialovà, Andrea, and Vàclav Černý. "Synthesis of Control Law for Non-Linear Systems in Critical Case." IFAC Proceedings Volumes 34, no. 13 (August 2001): 385–90. http://dx.doi.org/10.1016/s1474-6670(17)39021-3.

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8

Gurfil, P. "Non-linear missile guidance synthesis using control Lyapunov functions." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 219, no. 2 (February 1, 2005): 77–87. http://dx.doi.org/10.1243/095441005x9085.

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This paper derives a new non-linear guidance law aimed at interception of highly manoeuvring targets. The guidance law is developed based on the theory of control Lyapunov functions (CLFs), a methodology for universal stabilization of non-linear systems which is also inverse optimal with respect to some performance measure. The three-dimensional guidance dynamics are formulated in a fixed-line-of-sight coordinate system, yielding matching between the target and missile accelerations. Closed-form expressions for the CLF guidance commands are given. Simulation shows that the new guidance scheme significantly outperforms augmented proportional navigation in short-range engagements.

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9

HSIEH, JER-GUANG, and FENG-HSIAG HSIAO. "Robust controller synthesis in non–linear multivariable systems: using dither as auxiliary." International Journal of Systems Science 20, no. 12 (December 1989): 2515–37. http://dx.doi.org/10.1080/00207728908910330.

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10

Schwaller, Benoît, Denis Ensminger, Birgitta Dresp-Langley, and José Ragot. "State estimation for MISO non–linear systems in controller canonical form." International Journal of Applied Mathematics and Computer Science 26, no. 3 (September 1, 2016): 569–83. http://dx.doi.org/10.1515/amcs-2016-0040.

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Abstract We propose a new observer where the model, decomposed in generalized canonical form of regulation described by Fliess, is dissociated from the part assuring error correction. The obtained stable exact estimates give direct access to state variables in the form of successive derivatives. The dynamic response of the observer converges exponentially, as long as the nonlinearities are locally of Lipschitz type. In this case, we demonstrate that a quadratic Lyapunov function provides a number of inequalities which guarantee at least local stability. A synthesis of gains is proposed, independent of the observation time scale. Simulations of a Düffing system and a Lorenz strange attractor illustrate theoretical developments.

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11

Konevtsov, Vladimir Aleksandrovich, and Lilia Motaylenko. "NON-LINEAR TRANSFORMATION OF SIGNALS IN SOFTWARE DESIGN OF DIGITAL CONTROL SYSTEMS COMPLEX." Environment. Technology. Resources. Proceedings of the International Scientific and Practical Conference 3 (June 15, 2017): 140. http://dx.doi.org/10.17770/etr2017vol3.2537.

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Dependencies between signals and dependence of signals on time are strictly non-linear. Non-linear elements, commonly used in the synthesis of automatic control systems, include: a two-point link, a two-point link with hysteresis, a three-point link, a three-point link with hysteresis, a module, saturation with insensitivity.

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12

BENEDETTO, MARIA DOMENICA DI. "Synthesis of an internal model for non-linear output regulation." International Journal of Control 45, no. 3 (March 1987): 1023–34. http://dx.doi.org/10.1080/00207178708933784.

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13

Labutin, Alexander Nikolaevich, Milan Vaško, Ivan Kuric, Vladimir Yuryevich Nevinitsyn, Milan Sága, Yulia Nikolaevna Zagarinskaya, and Galina Vitalievna Volkova. "Analytical Synthesis of Non-Linear Control Algorithms of a Chemical Reactor Thermal Mode." Processes 9, no. 4 (April 7, 2021): 644. http://dx.doi.org/10.3390/pr9040644.

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The paper deals with two approaches to the synthesis of a non-linear control system of the thermal regime of a liquid-phase chemical reactor at the realization of a bimolecular exothermic reaction. Synthesis of control algorithms is carried out by the method of analytical design of aggregated regulators (ADAR). The first variant assumes synthesis of temperature controller by classic ADAR method on the basis of a sequential set of invariant manifolds. The second one is based on the cascade control system structure. Computer simulation is used to study and compare the synthesized control systems.

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14

Dobronravova, Iryna. "Post non-classical Synthesis of Knowledge." Filosofiya osvity. Philosophy of Education 25, no. 2 (July 3, 2020): 142–50. http://dx.doi.org/10.31874/2309-1606-2019-25-2-8.

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Academician V. S. Stepin, considering the objects of classical and non-classical types of rationality like aspects or fragments of self-developing systems as the object of post non-classical type of rationality, provided a methodological foundation for formulating a post non-classical synthesis of foregoing knowledge on the basis of new theoretizations of post non-classical sciences. The present article provides examples of such synthesis in Quantum Physics of the Alive as a phenomenon of post non-classical science, Physics of the Alive demonstrated, how the self-organization of a live organism's own coherent electromagnetic field entails the dynamic stability of the organism as a macroscopic quantum object. As a result of such macroscopic nature, the spreading of electromagnetic waves of millimeter range in organism and their reflection from bones and nails as well as the interference of direct and reflective waves, creating papillary patterns, proceeds entirely according to the laws of classic electrodynamics. Moreover, the space projection of limit cycles of this coherent field can be naturally associated with channels of Chinese acupuncture. Quantum Medicine, which is based on Physics of the Alive, successfully uses the experience of the ancient culture. Thus postnonclsssical science realizes the synthesis of knowledge of different realms and kinds. Besides of this example of postnonclassical synthesis of knowledge, author shows, how non-linear theories, describing variants of non-linear dynamics of complex system, consider the choice by chance for certain variant as real necessity of historic development of our world. However, no common recipe of the synthesis apparently exists. One can only speak about creation of specific post non-classical theories of specific becoming and existence of self-organizing systems. It is important that the task of creating such synthesis can be correctly formulated now by utilizing the theoretical framework of Prof. V. S. Stepin. Post non-classical synthesis of knowledge provides the unity of science and demonstrates the unity of our world.

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15

IOINOVICI, ADRIAN. "Application of the quantitative synthesis of feedback systems with uncertain non-linear plants." International Journal of Control 45, no. 2 (February 1987): 579–87. http://dx.doi.org/10.1080/00207178708933751.

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16

Jensen, Hector A., Macarena S. Ferre, and Danilo S. Kusanovic. "Reliability-based synthesis of non-linear stochastic dynamical systems: a global approximation approach." International Journal of Reliability and Safety 4, no. 2/3 (2010): 139. http://dx.doi.org/10.1504/ijrs.2010.032443.

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17

Li, L. M., and S. A. Billings. "Generalized frequency response functions and output response synthesis for MIMO non-linear systems." International Journal of Control 79, no. 1 (January 2006): 53–62. http://dx.doi.org/10.1080/00207170500428794.

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18

Wang, Qian, Guoda Chen, and Haoyong Yu. "Stability analysis and control synthesis for linear systems with non-symmetrical input saturation." Journal of the Franklin Institute 356, no. 16 (November 2019): 9565–79. http://dx.doi.org/10.1016/j.jfranklin.2019.01.053.

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19

Corradini, Maria G., and Micha Peleg. "Linear and Non-Linear Kinetics in the Synthesis and Degradation of Acrylamide in Foods and Model Systems." Critical Reviews in Food Science and Nutrition 46, no. 6 (September 2006): 489–517. http://dx.doi.org/10.1080/10408390600758280.

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20

Miyakoshi, Kazuki, Shun Ito, Hidetoshi Oya, Yoshikatsu Hoshi, and Shunya Nagai. "Synthesis of Formation Control Systems for Multi-Agent Systems under Control Gain Perturbations." Advances in Technology Innovation 5, no. 2 (April 1, 2020): 112–25. http://dx.doi.org/10.46604/aiti.2020.4136.

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This paper proposed a linear matrix inequality (LMI)-based design method of non-fragile guaranteed cost controllers for multi-agent systems (MASs) with leader-follower structures. In the guaranteed cost control approach, the resultant controller guarantees an upper bound on the given cost function together with asymptotical stability for the closed-loop system. The proposed non-fragile guaranteed cost control system can achieve consensus for MASs despite control gain perturbations. The goal is to develop an LMI-based sufficient condition for the existence of the proposed non-fragile guaranteed cost controller. Moreover, a design problem of an optimal non-fragile guaranteed cost controller showe that minimizing an upper bound on the given quadratic cost function can be reduced to constrain a convex optimization problem. Finally, numerical examples were given to illustrate the effectiveness of the proposed non-fragile controller for MASs.

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21

Chang, Wei, and Wen-June Wang. "H ∞ fuzzy controller synthesis for large-scale systems with non-linear interconnections and disturbance." IET Control Theory & Applications 8, no. 13 (September 4, 2014): 1256–69. http://dx.doi.org/10.1049/iet-cta.2014.0119.

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22

Dubljevic, Stevan. "Application of non-linear discretetime feedback regulators with assignable closed-loop dynamics." Chemical Industry 57, no. 3 (2003): 120–25. http://dx.doi.org/10.2298/hemind0303120d.

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In the present work the application of a new approach is demonstrated to a discrete-time state feedback regulator synthesis with feedback linearization and pole-placement for non-linear discrete-time systems. Under the simultaneous implementation of a non-linear coordinate transformation and a non-linear state feedback law computed through the solution of a system of non-linear functional equations, both the feedback linearization and pole-placement design objectives were accomplished. The non-linear state feedback regulator synthesis method was applied to a continuous stirred tank reactor (CSTR) under non-isothermal operating conditions that exhibits steady-state multiplicity. The control objective was to regulate the reactor at the middle unstable steady state by manipulating the rate of input heat in the reactor. Simulation studies were performed to evaluate the performance of the proposed non-linear state feedback regulator, as it was shown a non-linear state feedback regulator clearly outperformed a standard linear one, especially in the presence of adverse disturbance under which linear regulation at the unstable steady state was not feasible.

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23

Zhu, Q. M., and L. Z. Guo. "A pole placement controller for non-linear dynamic plants." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 216, no. 6 (September 1, 2002): 467–76. http://dx.doi.org/10.1177/095965180221600603.

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In this study a control-oriented model is proposed to represent a wide range of non-linear discrete-time dynamic plants. As a testimony to the efficiency of the model structure for control system design, a pole placement controller is designed for non-linear discrete-time plants. Mathematically the solution of the controller output is converted into resolving a polynomial equation in the current control term u( t), which significantly reduces the difficulties encountered in non-linear control system synthesis and computational complexities. The integrated procedure provides a straightforward methodology to use in linear control system design techniques when designing non-linear control systems. For a demonstration of the effectiveness of the proposed methodology used to deal with practical problems, pole placement controllers are designed for three non-linear plants, including the Hammerstein model, a laboratory-scale liquid level system and a continuous stirred tank reactor. The simulation results are presented with graphical illustrations.

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24

YANIV, O., and R. BONEH. "ROBUST LTV FEEDBACK SYNTHESIS FOR SISO NON-LINEAR PLANTS." International Journal of Robust and Nonlinear Control 7, no. 1 (January 1997): 11–28. http://dx.doi.org/10.1002/(sici)1099-1239(199701)7:1<11::aid-rnc199>3.0.co;2-6.

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25

Tomchina, O. P., D. N. Polyakhov, O. I. Tokareva, and A. L. Fradkov. "Adaptive control of time-varying non-linear plants by speed-gradient algorithms." Information and Control Systems, no. 3 (June 21, 2019): 37–44. http://dx.doi.org/10.31799/1684-8853-2019-3-37-44.

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Introduction: The motion of many real world systems is described by essentially non-linear and non-stationary models. A number of approaches to the control of such plants are based on constructing an internal model of non-stationarity. However, the non-stationarity model parameters can vary widely, leading to more errors. It is only assumed in this paper that the change rate of the object parameters is limited, while the initial uncertainty can be quite large.Purpose: Analysis of adaptive control algorithms for non-linear and time-varying systems with an explicit reference model, synthesized by the speed gradient method.Results: An estimate was obtained for the maximum deviation of a closed-loop system solution from the reference model solution. It is shown that with sufficiently slow changes in the parameters and a small initial uncertainty, the limit error in the system can be made arbitrarily small. Systems designed by the direct approach and systems based on the identification approach are both considered. The procedures for the synthesis of an adaptive regulator and analysis of the synthesized system are illustrated by an example.Practical relevance: The obtained results allow us to build and analyze a broad class of adaptive systems with reference models under non-stationary conditions.

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26

Almagor, Shaull, Dmitry Chistikov, Joël Ouaknine, and James Worrell. "O-Minimal Invariants for Discrete-Time Dynamical Systems." ACM Transactions on Computational Logic 23, no. 2 (April 30, 2022): 1–20. http://dx.doi.org/10.1145/3501299.

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Termination analysis of linear loops plays a key rôle in several areas of computer science, including program verification and abstract interpretation. Already for the simplest variants of linear loops the question of termination relates to deep open problems in number theory, such as the decidability of the Skolem and Positivity Problems for linear recurrence sequences, or equivalently reachability questions for discrete-time linear dynamical systems. In this article, we introduce the class of o-minimal invariants , which is broader than any previously considered, and study the decidability of the existence and algorithmic synthesis of such invariants as certificates of non-termination for linear loops equipped with a large class of halting conditions. We establish two main decidability results, one of them conditional on Schanuel’s conjecture is transcendental number theory.

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27

Nejem, Imen, Mohamed Hechmi Bouazizi, and Faouzi Bouani. "H∞ Dynamic output feedback control of LPV time-delay systems via dilated linear matrix inequalities." Transactions of the Institute of Measurement and Control 41, no. 2 (May 3, 2018): 552–59. http://dx.doi.org/10.1177/0142331218767489.

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This paper uses the linear matrix inequality dilation approach to deal with robust stability and H∞ dynamic output feedback controller synthesis for linear parameter varying delayed systems with variable delay. This approach can express the original non-convex problem in terms of convex linear matrix inequalities and consequently reduces the conservatism of linear matrix inequality synthesis without dilation. Both delay-dependent stability and H∞ performance are studied in a quadratic context. Furthermore, a Lyapunov–Krasovskii functional is used to derive a delay-dependent criterion formulated in terms of a linear matrix inequality that will be used to search for an H∞ linear parameter varying delayed dynamic output feedback controller. To achieve this aim we use an integral inequality which plays a key role in the derivation of this criterion and enables the reduction of the H∞ cost in comparison to other results.

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28

Mazalov, Andrey A. "Non-Linear Control System for Wind Power Plant with DFIG." Applied Mechanics and Materials 448-453 (October 2013): 1884–87. http://dx.doi.org/10.4028/www.scientific.net/amm.448-453.1884.

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Nowadays actual scientific problem of renewable energy is the problem of developing control systems, that ensure the generation of stable voltage in a changing environment. This paper presents a structure and methods of synthesis of control system development, which allow to decide the indicated problem. An electric subsystem of wind power plant is a well-known structure with well-known advantages, consisting mainly of double-fed induction generator (DFIG) and power converter in the circuit of rotor. Operation of the control system based on the original nonlinear mathematical model of DFIG in rotational "dq" coordinates, taking into account the nonlinear external and internal DFIG disturbances, such as inductances of coil winding, changes of coil winding resistances from temperature, etc. The study received adaptive control algorithms of the wind turbine output voltage parameters.

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29

Andriychuk, Mykhaylo, Petro Savenko, and Myroslava Tkach. "Non-Linear Synthesis Problems for Plane Radiating Systems According to the Prescribed Power Directivity Pattern." Open Journal of Antennas and Propagation 01, no. 02 (2013): 23–34. http://dx.doi.org/10.4236/ojapr.2013.12006.

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30

Korobov, Valeriy, and Kateryna Stiepanova. "The Peculiarity of Solving the Synthesis Problem for Linear Systems to a Non-Equilibrium Point." Zurnal matematiceskoj fiziki, analiza, geometrii 17, no. 3 (June 25, 2021): 326–40. http://dx.doi.org/10.15407/mag17.03.326.

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31

Yan, X. G., S. K. Spurgeon, and Y. Orlov. "Output feedback control synthesis for non-linear time-delay systems using a sliding-mode observer." IMA Journal of Mathematical Control and Information 31, no. 4 (August 8, 2013): 501–18. http://dx.doi.org/10.1093/imamci/dnt028.

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32

Chong, Y. H., and M. Imregun. "Variable Modal Parameter Identification for Non-Linear Mdof Systems. Part I: Formulation and Numerical Validation." Shock and Vibration 7, no. 4 (2000): 217–27. http://dx.doi.org/10.1155/2000/969208.

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This paper deals with the formulation of a frequency domain modal analysis technique that is applicable to weakly non-linear multi-degree of freedom (MDOF) systems with well-separated modes. The concept of linear modal superposition is combined with the normal non-linear mode technique, an approach that allows the formulation of a system identification procedure in terms of variable modal parameters. The numerical study was focused on a 4-DOF system with cubic stiffness non-linearity, and the modal parameters were obtained as functions of the modal amplitude. It was shown that the methodology was well suited to the study of practical cases for which the underlying linear model may be approximate. Similarly, the technique was found to be robust in the presence of measurement noise, though some adverse effects were observed for high noise levels. Once the variable modal parameters were extracted at some given force level, the non-linear responses were predicted at other force levels via synthesis of normal non-linear modes. The same responses were also obtained using a harmonic balance approach and very good agreement was obtained between the two sets of results. The procedure is well suited to the study of industrial cases because of its compatibility with existing finite element methods and linear modal analysis techniques.

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33

Coutinho, Pedro H. S., Márcia L. C. Peixoto, Márcio J. Lacerda, Miguel Bernal, and Reinaldo M. Palhares. "Generalized non-monotonic Lyapunov functions for analysis and synthesis of Takagi-Sugeno fuzzy systems." Journal of Intelligent & Fuzzy Systems 39, no. 3 (October 7, 2020): 4147–58. http://dx.doi.org/10.3233/jifs-200262.

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This paper presents new stability and stabilisation conditions in the form of linear matrix inequalities for discrete-time Takagi-Sugeno fuzzy systems; they are derived considering a class of non-quadratic Lyapunov functions with multi-parametric non-monotonic terms, which significantly enhances the feasibility set of current state-of-the-art results. In addition, extensions to cope with the disturbance attenuation control problem are included. Benchmark numerical examples are provided to illustrate the effectiveness of the proposed approach.

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34

Modirrousta, Alireza, Mostafa Shokrian Zeini, and Tahereh Binazadeh. "Non-linear optimal fuzzy control synthesis for robust output tracking of uncertain micro-electro-mechanical systems." Transactions of the Institute of Measurement and Control 39, no. 8 (February 17, 2016): 1146–60. http://dx.doi.org/10.1177/0142331216630363.

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This paper considers the output tracking problem for micro-electro-mechanical systems (MEMS) under uncertainties and external disturbances. The robust non-linear controllers are designed by two methods. The first method consists of a backstepping strategy combined with a first-order sliding mode controller. Also, in order to reduce the chattering effect and to improve the robustness of the proposed scheme, a new variable universe fuzzy control action with an adaptive coefficient is used instead of the signum function in the switching control law. In the proposed fuzzy scheme, the centres of the output membership functions are optimized via three heuristic optimization algorithms including the artificial bee colony (ABC) algorithm, ant colony optimization (ACO) and particle swarm optimization (PSO). In the second method, a class of second-order sliding mode controller is combined with the backstepping strategy. The second controller includes the proposed optimal fuzzy controllers of the first method. The stability of the closed-loop systems in both approaches are proved via the Lyapunov stability criterion and the conditions of stabilization are provided by linear matrix inequalities (LMIs). Numerical simulations are carried out to verify the theoretical results and to demonstrate the robust performance of the proposed controller in output tracking of the time-varying reference signal.

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35

LIN, Wei, and Xunjing Li. "Synthesis of upper-triangular non-linear systems with marginally unstable free dynamics using state-dependent saturation." International Journal of Control 72, no. 12 (January 1999): 1078–86. http://dx.doi.org/10.1080/002071799220434.

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36

Tang, Yu. "Simple robust adaptive control for a class of non-linear systems: An adaptive signal synthesis approach." International Journal of Adaptive Control and Signal Processing 10, no. 4-5 (July 1996): 481–88. http://dx.doi.org/10.1002/(sici)1099-1115(199607)10:4/5<481::aid-acs376>3.0.co;2-f.

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37

Medina, Anaïs, and Christian G. Claessens. "Subphthalocyanines: synthesis, self-organization, properties and applications." Journal of Porphyrins and Phthalocyanines 13, no. 04n05 (April 2009): 446–54. http://dx.doi.org/10.1142/s1088424609000711.

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Subphthalocyanines, lower homologs of phthalocyanines, show great promise for applications in many fields of contemporary research such as non-linear optics, donor-acceptor systems for photovoltaics, photodynamic therapy and anion sensing. This short review gives a brief overview of the latest developments in the chemistry, characterization, self-organization, properties and applications of this fascinating molecule.

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38

Dat, V. Q., and A. A. Bobtsov. "Output Control by Linear Time-Varying Systems using Parametric Identiﬁcation Methods." Mekhatronika, Avtomatizatsiya, Upravlenie 21, no. 7 (July 7, 2020): 387–93. http://dx.doi.org/10.17587/mau.21.387-393.

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In this paper the problem of control for time-varying linear systems by the output (i.e. without measuring the vector of state variables or derivatives of the output signal) was considered. For the control design, the well-known online procedure for solving the Riccati matrix differential equation is chosen. This procedure involves the synthesis of linear static feedbacks on state variables in the case of known parameters of the plant. If state variables are not measured, then for the observer design using the matrix Riccati differential equation, using the dual scheme, which provides for the transposition of the state matrix and the replacement of the input matrix by the output matrix. It is well known that an observer of state variables built on the basis of a solution of the Riccati matrix differential equation ensures the exponential stability of a closed loop system in the case of uniform observability. Despite the fact that this type of observer can be classified as universal, its have a number of significant drawbacks. The main problem of such observers is the need for accurate knowledge of the parameters and the requirement for uniform observability, which in practice cannot always be realized. Thus, the problem of the new methods design for constructing observers of state variables of linear non-stationary systems is still relevant. Some time ago, a number of methods for the adaptive observers design of state variables for nonlinear systems were proposed. The main idea of the synthesis of observers was based on the transformation of the original dynamic system to a linear regression model containing unknown parameters, which in turn were functions of the initial conditions of the state variables of the control object. This approach in the English language literature is called PEBO. This paper, based on the PEBO method, proposes a new approach for the observers design of state for non-stationary systems. This approach provides the possibility of obtaining monotonic convergence estimates with transient time tuning.

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39

Kolesnikova, S. "Synthesis of the control system for a second order non-linear object with an incomplete description." Автоматика и телемеханика, no. 9 (2018): 18–30. http://dx.doi.org/10.31857/s000523100001393-6.

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40

Lavendelis, Egons, and Janis Viba. "Optimal Synthesis Method for Invention of New Mechatronic Systems in Vibrotechnics." Solid State Phenomena 147-149 (January 2009): 432–37. http://dx.doi.org/10.4028/www.scientific.net/ssp.147-149.432.

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The authors provide inverse method algorithm for invention mechatronic systems in vibrotechnics. The main difference of this method compared to a simple analysis method is that initial subsystem is solved before a synthesis of real system optimal control task for abstract. After the calculations optimal control law is found, which allows synthesizing series of structural schemes for real systems to close initial subsystem. It is also shown that near the optimal control excitation new structural schemes may be found within three kinds of strongly non-linear (impact) systems: systems with excitation as a time function; systems with excitation as a function of phase coordinates only; systems with mixed both excitations.

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41

Voevoda, Aleksander, and Victor Shipagin. "Example of polynomial controller synthesis for a non-square object with one input and two outputs." Transaction of Scientific Papers of the Novosibirsk State Technical University, no. 4 (December 18, 2020): 7–20. http://dx.doi.org/10.17212/2307-6879-2020-4-7-20.

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Polynomial methods for synthesizing controllers for automatic control systems with linear objects are becoming increasingly common. The synthesis of multichannel controllers is particularly difficult, which is caused by the need to use matrix polynomial calculus. However, this approach mainly considers objects with the number of inputs equal to the number of outputs. This is due to the convenience of solving a system of linear algebraic equations in matrix polynomial calculus. In this paper, we consider a polynomial method for synthesizing regulators for a non-square object, that is, one whose number of inputs is not equal to the number of outputs. The selected system contains not only a non-square object, but also a non-square controller.

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Grancharova, Alexandra, and Jordan Zaprianov. "An Approach for Synthesis of Robust Neural Network Controller for Multivariable Non-Linear Systems with Stochastic Parameters." IFAC Proceedings Volumes 31, no. 20 (July 1998): 997–1001. http://dx.doi.org/10.1016/s1474-6670(17)41928-8.

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Halanay, A., and I. Ursu. "Stability of equilibria of some switched non-linear systems with applications to control synthesis for electrohydraulic servomechanisms." IMA Journal of Applied Mathematics 74, no. 3 (April 22, 2009): 361–73. http://dx.doi.org/10.1093/imamat/hxp019.

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Stoten, D. P., J. Y. Tu, and G. Li. "Synthesis and control of generalized dynamically substructured systems." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 223, no. 3 (December 18, 2008): 371–92. http://dx.doi.org/10.1243/09596518jsce635.

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The experimental technique for testing engineering systems via the method of dynamic substructuring is receiving significant global interest, for example in the fields of large-scale structural, aerospace, and automotive system testing. Dynamically substructured systems (DSSs) enable full-size, critical components of a complete system to be physically tested in real-time, within a laboratory environment, while the remainder of the system is modelled numerically. The intention is that the combined physical-numerical DSS behaves as if it were the complete (or emulated) system. In an ideal mechanical DSS, for example, perfect synchronization of displacements and forces at the interfaces between the numerical and physical components (or substructures) is required. Hence, a key design feature of successful DSS systems is the high fidelity of the control action. Equally, a DSS controller must be able to cope with non-linear, time-varying, and uncertain parameters within the physical substructure dynamics. The main purpose of this paper is to present a generalized DSS framework, together with associated linear and adaptive control strategies, that are specifically tailored to achieve high synchronization performance. The initial studies of this problem, as described in an earlier paper by Stoten and Hyde, are therefore continued by generalizing both the DSS dynamics and the control strategies to include (a) a number of newly defined modes of operation and (b) multivariable dynamics. In addition, comparative implementation and simulation studies are included, based upon the DSS testing of a mechanical system (a planar quasi-motorcycle rig), which was specifically designed to highlight the main features of this research. The comparative studies show that excellent DSS control can be achieved, especially with the addition of an adaptive component to the controller, despite significant changes to the physical substructure dynamics.

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Thomas, Jeena, Prakash Perikaruppan, Vinoy Thomas, Jancy John, Raji Mary Mathew, Joice Thomas, Ibrahimkutty Rejeena, Sebastian Mathew, and Abdulhassan Mujeeb. "Green Synthesized Plasmonic Silver Systems for Potential Non-Linear Optical Applications: Optical Limiting and Dual Beam Mode Matched Thermal Lensing." Australian Journal of Chemistry 72, no. 6 (2019): 460. http://dx.doi.org/10.1071/ch18617.

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Bioactive compound functionalized plasmonic systems are evolving as a promising branch of nanotechnology. In this communication the synthesis of bioactive compound mimosine-based silver nanoparticles (AgNPs) and their non-linear optical and thermo-optic properties are presented. UV-Visible spectroscopy, optical bandgap measurement, fluorescence spectroscopy, and high-resolution transmission electron microscopy (HRTEM) techniques were used to characterize the synthesized AgNPs. An open aperture z-scan technique was used to determine the non-linear optical parameters. A very strong reverse saturable absorption (RSA) and low optical limiting threshold were observed for the present mimosine decorated AgNP system. The thermo-optic property of the present system was evaluated using a highly sensitive dual beam mode matched thermal lensing spectroscopic technique. A comparison of the low limiting threshold (242MWcm−2) and thermo-optic property (thermal diffusivity, D=1.13×10−7m2s−1) with similar systems proves its capability for non-linear optical and thermo-optic applications.

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Kurn, Nurith, Pengchin Chen, Joe Don Heath, Anne Kopf-Sill, Kathryn M. Stephens, and Shenglong Wang. "Novel Isothermal, Linear Nucleic Acid Amplification Systems for Highly Multiplexed Applications." Clinical Chemistry 51, no. 10 (October 1, 2005): 1973–81. http://dx.doi.org/10.1373/clinchem.2005.053694.

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Abstract Background: Global analysis of the genome, transcriptome, and proteome is facilitated by the recent development of tools for large-scale, highly parallel analysis. We describe a novel nucleic acid amplification system that generates products by several methods. 3′-Ribo-SPIA™ primes cDNA synthesis at the 3′ polyA tail, and whole transcript (WT)-Ribo-SPIA primes cDNA synthesis across the full length of the transcripts and thus provides whole-transcriptome amplification, independent of the 3′ polyA tail. Methods: We developed isothermal linear nucleic acid amplification systems, which use a single chimeric primer, for amplification of DNA (SPIA) and RNA (Ribo-SPIA). The latter allows mRNA amplification from as little as 1 ng of total RNA. Amplification efficiency was calculated based on the delta threshold cycle between nonamplified cDNA targets and amplified cDNA. The amounts and quality of total RNA and amplification products were determined after purification of the amplification products. GeneChip® array gene expression profiling and real-time PCR were used to test the accuracy and reproducibility of the method. Quantification of cDNA products (before and after amplification) at the 2 loci along the transcripts was used to assess product length (for evaluation of the 3′-initiated Ribo-SPIA) and equal representation throughout the length of the transcript (for evaluation of the whole transcript amplification system, WT-Ribo-SPIA™). Results: Ribo-SPIA–based global RNA amplification exhibited linearity over 6 orders of magnitude of transcript abundance and generated microgram amounts of amplified cDNA from as little as 1 ng of total RNA. Conclusions: The described methods enable comprehensive gene expression profiling and analysis from limiting biological samples. The WT-Ribo-SPIA procedure, which enables amplification of non–polyA-tailed RNA, is suitable for amplification and gene expression analysis of both eukaryotic and prokaryotic biological samples.

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Griffith, T. M., D. Parthimos, and D. H. Edwards. "Non-linear analysis and modelling of the cellular mechanisms that regulate arterial vasomotion." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 220, no. 3 (March 1, 2006): 367–81. http://dx.doi.org/10.1243/095440605x16965.

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Non-linearity intrinsic to the ion transport systems that regulate intracellular [Ca2+] and smooth muscle tone allows the emergence of fluctuations in vascular diameter and resistance in isolated arteries (vasomotion) that can be classified as chaotic. Correlation analysis suggests an underlying low dimensional system and a four-dimensional model of vasomotion has been formulated to simulate the effects of pharmacological manipulation of smooth muscle tone or nitric oxide (NO) synthesis by the vascular endothelium. The oscillatory patterns observed experimentally and in modelling studies may be considered ‘universal’ in the sense that they also occur in many physico-chemical systems and include: (a) period-doubling, a feature of the Feigenbaum route to chaos; (b) mode-locking and quasiperiodicity, which reflect the interaction of two nonlinear oscillatory subsystems; and (c) intermittency, in which segments of nearly periodic oscillations of variable duration are interrupted by short chaotic bursts. Low dimensionality allows the construction of iterative maps that confirm the existence of types I and III Pomeau-Manneville intermittency in vascular dynamics, with attractor reconstructions indicating that the reinjection mechanism underlying the type III scenario involves a Shil'nikov-type homoclinic trajectory. Dimensional analysis of experimental data and corresponding surrogate time series generated by randomization of Fourier phase also provide evidence for underlying nonlinear structure in fluctuations in red cell velocity and arteriolar calibre in vivo.

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Labutin, Alexander N., Vladimir Yu Nevinitsyn, Viktor A. Zaytsev, and Galina V. Volkova. "ROBUST CONCENTRATION CONTROL OF TARGET PRODUCT IN CHEMICAL REACTOR." IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENIY KHIMIYA KHIMICHESKAYA TEKHNOLOGIYA 61, no. 12 (December 10, 2018): 129–36. http://dx.doi.org/10.6060/ivkkt.20186112.5914.

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A liquid-phase continuous stirred tank reactor equipped with a mechanical stirrer and cooling jacket is considered as a control object. The reactor operates in the polytropic mode. The multistep series-parallel exothermic process is carried out in the reactor. The objective of chemical reactor operation is to obtain the key product of specified concentration. The paper deals with analytical synthesis of automatic concentration control system of target product which provides invariance, covariance to the given actions, asymptotic stability and robustness under the action of uncontrollable parametric and signal disturbances. The astatic control law obtained using the synergetic control theory is proposed. Using the method of analytical design of aggregated regulators (ADAR) for a given invariant manifold, a non-linear control algorithm with an integral part was synthesized which solves the problem of stabilization of the concentration of target component on the exit of the reactor at the given value under the action of disturbances on the object. Algorithmic synthesis of the control law is carried out using a non-linear mathematical model of the object without the use of the linearization procedure. As a result of simulation it was found that the closed-loop control system has no static control error under the action of uncontrollable parametric and signal disturbances on the object, changes in the set points and initial deviation of the state variables from the static values. Consequently, the proposed non-linear concentration control algorithm has the property of robustness. The obtained results indicate the effectiveness of the ADAR method and the prospects of the synergetic control theory for solving problems of algorithmic synthesis of control systems of non-linear, multi-dimensional and multi-connected technological objects. The integration of the synthesized control law of chemical reactor at the design stage will allow implementing flexible cybernetically organized chemical-technological systems.

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Furtat, Igor, and Yury Orlov. "Synchronization And State Estimation Of Nonlinear Systems With Unknown Time-Delays: Adaptive Identification Method." Cybernetics and Physics, Issue Volume 9, 2020, Number 3 (November 30, 2020): 136–43. http://dx.doi.org/10.35470/2226-4116-2020-9-3-136-143.

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The paper studies a novel adaptive identifier proposed in IFAC World Congress 2020 for nonlinear time-delay systems composed of linear, Lipschitz and non-Lipschitz components. To begin with, an identifier is designed for uncertain systems with a priori known delay values, and then it is generalized for systems with unknown delay values. The algorithm ensures the asymptotic parameter estimation and state observation by using gradient algorithms. The unknown delays and plant parameters are estimated by using a special equivalent extension of the plant equation. The algorithms stability is presented by solvability of linear matrix inequalities. Simulation results are invoked to support the developed identifier design and to illustrate the efficiency of the proposed synthesis procedure.

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Chen, Shu Xun. "A More Effective Technique of Design Synthesis for MEMS with Expected Performance." Applied Mechanics and Materials 121-126 (October 2011): 637–41. http://dx.doi.org/10.4028/www.scientific.net/amm.121-126.637.

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A design synthesis technique based on sensitivity for Micro-Electro-Mechanical Systems (MEMS) proposed. This new technique can be called Sensitivity-Based Direct Solution Algorithm (DSA) of design synthesis for MEMS with expected performance. Design synthesis with expected performance is regarded as a reverse problem of MEMS analysis. Behavior equation group can be educed from analysis equations. This behavior equation group can be solved using any solution algorithm of non-linear equation group. Newton Iteration Method based on sensitivity is adopted. Comparing with Genetic Optimization Algorithm (GA) , computational workload of DSA is greatly decreased.

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