Relevant bibliographies by topics / Affine dependence in the parameter

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Affine dependence in the parameter'

Author: Grafiati
Published: 18 February 2023

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Journal articles on the topic "Affine dependence in the parameter"

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Cox, Pepijn B., Siep Weiland, and Roland Toth. "Affine Parameter-Dependent Lyapunov Functions for LPV Systems With Affine Dependence." IEEE Transactions on Automatic Control 63, no. 11 (November 2018): 3865–72. http://dx.doi.org/10.1109/tac.2018.2824982.

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Walsh, Alex, and James Richard Forbes. "Very Strictly Passive Controller Synthesis With Affine Parameter Dependence." IEEE Transactions on Automatic Control 63, no. 5 (May 2018): 1531–37. http://dx.doi.org/10.1109/tac.2017.2748928.

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Feng, Yu. "Positive real control for discrete-time singular systems with affine parameter dependence." Journal of the Franklin Institute 352, no. 3 (March 2015): 882–96. http://dx.doi.org/10.1016/j.jfranklin.2014.11.002.

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Rozza, Gianluigi. "Reduced basis methods for Stokes equations in domains with non-affine parameter dependence." Computing and Visualization in Science 12, no. 1 (November 10, 2006): 23–35. http://dx.doi.org/10.1007/s00791-006-0044-7.

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Hooshmandi, Kaveh, Farhad Bayat, and Andrzej Bartoszewicz. "Sampled-Data Linear Parameter Variable Approach for Voltage Regulation of DC–DC Buck Converter." Electronics 11, no. 19 (October 6, 2022): 3208. http://dx.doi.org/10.3390/electronics11193208.

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This paper addresses the new method for output voltage regulation of DC–DC buck converter nonlinear systems by a sampled-data linear parameter varying (LPV) controller. For this purpose, an output-error state-space affine LPV model is presented for DC–DC buck converter nonlinear systems. The sampled-data structure of the controller is considered as a time delay in the input, and stabilization conditions are obtained for LPV systems with affine dependence on the parameter by using a parameter-dependent Lyapunov–Krasovskii functional. Then, the design condition of the sampled-data LPV controller with an appropriate sampling period is derived to guarantee that the output voltage of the DC–DC buck converter can be adjusted to the desired voltage. Finally, simulation results are provided to show the validity of the presented approach in practical control applications where there are limitations on the value of the sampling period and the cost of the digital implementation.
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Deng, Qirong, Mingtian Li, and Yonghua Yao. "Continuous dependence on parameters of self-affine sets and measures." Chaos, Solitons & Fractals 161 (August 2022): 112309. http://dx.doi.org/10.1016/j.chaos.2022.112309.

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Kuti, József, and Péter Galambos. "Affine Tensor Product Model Transformation." Complexity 2018 (2018): 1–12. http://dx.doi.org/10.1155/2018/4073531.

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This paper introduces the novel concept of Affine Tensor Product (TP) Model and the corresponding model transformation algorithm. Affine TP Model is a unique representation of Linear Parameter Varying systems with advantageous properties that makes it very effective in convex optimization-based controller synthesis. The proposed model form describes the affine geometric structure of the parameter dependencies by a nearly minimum model size and enables a systematic way of geometric complexity reduction. The proposed method is capable of exact analytical model reconstruction and also supports the sampling-based numerical approach with arbitrary discretization grid and interpolation methods. The representation conforms with the latest polytopic model generation and manipulation algorithms. Along these advances, the paper reorganizes and extends the mathematical theory of TP Model Transformation. The practical merit of the proposed concept is demonstrated through a numerical example.
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Dalila, Khamari, Makouf Abdessalem, Drid Said, and Larbi Chrifi-Alaoui. "Robust linear parameter varying induction motor control with polytopic models." Serbian Journal of Electrical Engineering 10, no. 2 (2013): 335–48. http://dx.doi.org/10.2298/sjee121218008d.

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This paper deals with a robust controller for an induction motor which is represented as a linear parameter varying systems. To do so linear matrix inequality (LMI) based approach and robust Lyapunov feedback controller are associated. This new approach is related to the fact that the synthesis of a linear parameter varying (LPV) feedback controller for the inner loop take into account rotor resistance and mechanical speed as varying parameter. An LPV flux observer is also synthesized to estimate rotor flux providing reference to cited above regulator. The induction motor is described as a polytopic model because of speed and rotor resistance affine dependence their values can be estimated on line during systems operations. The simulation results are presented to confirm the effectiveness of the proposed approach where robustness stability and high performances have been achieved over the entire operating range of the induction motor.
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Şahin, İsmail Hakkı, and Coşku Kasnakoğlu. "Control of a small helicopter with linear matrix inequality-based design assuring stability and performance." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 234, no. 3 (September 24, 2019): 624–39. http://dx.doi.org/10.1177/0954410019877699.

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This article focuses on linear matrix inequality-based controller designs that can achieve stabilization and reference tracking for a small unmanned helicopter at various flight conditions. A nonlinear mathematical model of a small-scale helicopter is constructed. Then trim conditions are found and linearized around different equilibrium points. Local [Formula: see text] controllers are designed at trim conditions based on the local linear models. The pointwise controllers achieve local stability and performance, but fail at stabilization and tracking over the full envelope. A scheduling controller is built by blending the local controller outputs. In addition, grid-based [Formula: see text] controllers are designed at each operating point with common Lyapunov function. This allows controller scheduling between the adjacent design points with guaranteed stability and performance across the design envelope. Based on the family of linear systems which are obtained from the nonlinear model, an affine parameter-dependent model is built to exploit the approximate linear parameter dependency. Then, a parameter-dependent linear parameter varying controller is synthesized for the affine parameter-dependent model. Although local performance is satisfactory for all given design methods, local [Formula: see text] controllers and affine parameter-dependent controller cannot yield satisfactory performance over the full flight envelope apart from the grid-based controller with common Lyapunov function approach.
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Ding, Daoxin. "Continuous dependence on parameters of certain self-affine measures, and their singularity." Czechoslovak Mathematical Journal 61, no. 2 (June 2011): 495–508. http://dx.doi.org/10.1007/s10587-011-0068-0.

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Dissertations / Theses on the topic "Affine dependence in the parameter"

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Geffen, Nathan. "Pattern recognition and the nondeterminable affine parameter problem." Master's thesis, University of Cape Town, 1998. http://hdl.handle.net/11427/9563.

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Bibliography: leaves 112-121.
This thesis reports on the process of implementing pattern recognition systems using classification models such as artificial neural networks (ANNs) and algorithms whose theoretical foundations come from statistics. The issues involved in implementing several classification models and pre-processing operators - that are applied to patterns before classification takes place - are discussed and a methodology that is commonly used in developing pattern recognition systems is described. In addition, a number of pattern recognition systems for two image recognition problems that occur in the field of image matching have been developed. These image recognition problems and the issues involved in solving them are described in detail. Numerous experiments were carried out to test the accuracy and speed of the systems developed to solve these problems. These experiments and their results are also discussed.
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Moreau, Antoine. "Calcul des propriétés homogénéisées de transfert dans les matériaux poreux par des méthodes de réduction de modèle : Application aux matériaux cimentaires." Thesis, La Rochelle, 2022. http://www.theses.fr/2022LAROS024.

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Cette thèse propose de coupler deux outils préexistant pour la modélisation mathématique en mécanique : l’homogénéisation périodique et la réduction de modèle, afin de modéliser la corrosion des structures de béton armé exposées à la pollution atmosphérique et au sel marin. Cette dégradation est en effet difficile à simuler numériquement, eu égard la forte hétérogénéité des matériaux concernés, et la variabilité de leur microstructure. L’homogénéisation périodique fournit un modèle multi-échelle permettant de s’affranchir de la première de ces deux difficultés. Néanmoins, elle repose sur l’existence d’un volume élémentaire représentatif (VER) de la microstructure du matériau poreux modélisé. Afin de prendre en compte la variabilité de cette dernière, on est amenés à résoudre en temps réduit les équations issues du modèle multi-échelle pour un grand nombre VER. Ceci motive l’utilisation de la méthode POD de réduction de modèle. Cette thèse propose de recourir à des transformations géométriques pour transporter ces équations sur la phase fluide d’un VER de référence. La méthode POD ne peut, en effet, pas être utilisée directement sur un domaine spatial variable (ici le réseau de pores du matériau). Dans un deuxième temps, on adapte ce nouvel outil à l’équation de Poisson-Boltzmann, fortement non linéaire, qui régit la diffusion ionique à l’échelle de la longueur de Debye. Enfin, on combine ces nouvelles méthodes à des techniques existant en réduction de modèle (MPS, interpolation ITSGM), pour tenir compte du couplage micro-macroscopique entre les équations issues de l’homogénéisation périodique
In this thesis, we manage to combine two existing tools in mechanics: periodic homogenization, and reduced-order modelling, to modelize corrosion of reinforced concrete structures. Indeed, chloride and carbonate diffusion take place their pores and eventually oxydate their steel skeleton. The simulation of this degradation is difficult to afford because of both the material heterogenenity, and its microstructure variability. Periodic homogenization provides a multiscale model which takes care of the first of these issues. Nevertheless, it assumes the existence of a representative elementary volume (REV) of the material at the microscopical scale. I order to afford the microstructure variability, we must solve the equations which arise from periodic homogenization in a reduced time. This motivates the use of model order reduction, and especially the POD. In this work we design geometrical transformations that transport the original homogenization equations on the fluid domain of a unique REV. Indeed, the POD method can’t be directly performed on a variable geometrical space like the material pore network. Secondly, we adapt model order reduction to the Poisson-Boltzmann equation, which is strongly nonlinear, and which rules ionic electro diffusion at the Debye length scale. Finally, we combine these new methods to other existing tools in model order reduction (ITSGM interpolatin, MPS method), in order to couple the micro- and macroscopic components of periodic homogenization
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Kremer, Jonas [Verfasser]. "Ergodicity and parameter estimation for some affine models / Jonas Kremer." Wuppertal : Universitätsbibliothek Wuppertal, 2018. http://d-nb.info/1166336786/34.

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Pang, Erwin. "Parameter estimation and efficient implementation of affine transforms for digital images." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ28850.pdf.

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Bharadwaj, Shashank. "Investigation of oxide thickness dependence of Fowler-Nordheim parameter B." [Tampa, Fla.] : University of South Florida, 2004. http://purl.fcla.edu/fcla/etd/SFE0000251.

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Garcia, Alberto J. "Parameter Dependence of Pair Correlations in Clean Superconducting-Magnetic Proximity Systems." Thesis, California State University, Long Beach, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10841350.

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Cooper pairs are known to tunnel through a barrier between superconductors in a Josephson junction. The spin states of the pairs can be a mixture of singlet and triplet states when the barrier is an inhomogeneous magnetic material. The purpose of this thesis is to better understand the behavior of pair correlations in the ballistic regime for different magnetic configurations and varying physical parameters. We use a tight-binding Hamiltonian to describe the system and consider singlet-pair conventional superconductors. Using the Bogoliubov-Valatin transformation, we derive the Bogoliubov-de Gennes equations and numerically solve the associated eigenvalue problem. Pair correlations in the magnetic Josephson junction are obtained from the Green's function formalism for a superconductor. This formalism is applied to Josephson junctions composed of discrete and continuous magnetic materials. The differences between representing pair correlations in the time and frequency domain are discussed, as well as the advantages of describing the Gor'kov functions on a log scale rather than the commonly used linear scale, and in a rotating basis as opposed to a static basis. Furthermore, the effects of parameters such as ferromagnetic width, magnetization strength, and band filling will be investigated. Lastly, we compare results in the clean limit with known results in the diffusive regime.

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El, Hor Hamid. "Temperature dependence of lattice dynamics in quasicrystals." Doctoral thesis, Universitätsbibliothek Chemnitz, 2004. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200400105.

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The work presented in this thesis was motivated by the large amount of experimental investigations of the phonons in quasicrystals. The generalized vibrational density of states (GVDOS) was measured for many quasicrystalline phases and in some cases at different temperatures [suck et al (1997), Dugain et al (1997)]. The progress achieved in the structure determination of approximants to some quasicrystals was a legitimate motivation for numerical investigations of lattice dynamics in these structures. Two different types of interatomic interactions were used: the spring model and the ab-initio pair potentials. The investigations explained the shape of some experimentally measured GVDOS (d-AlNiCo, o-Al13Co4 and i-ZnMgY) via the calculation of the partial vibrational densities of states. Both calculated and measured GVDOS of the d-AlNiCo phase showed an intensity excess at low energies relatively to the ideal Debye behaviour. This excess was found to be a consequence of the existence of special modes at theses energies which are called ``quasi-localized modes''. These modes seem to be characteristic of the lattice dynamics in the complex Al-TM structures. To calculate the frequency shift due to the shift of the GVDOS through low energies observed experimentally at high temperatures, a new method based on a Monte-Carlo simulation was developed. It was shown that the quasi-localized modes introduce large frequency shifts at low energies. Finally, the vibrational entropy was also investigated, and it was found that it contributes to the stabilization of the complex structures over the relatively simple structures at high temperatures
Die Arbeit, die in dieser Dissertation präsentiert wird, wurde durch eine Vielzahl von experimentellen Beobachtungen von Phononen in Quasikristallen motiviert. Die verallgemeinerte vibrationelle Zustandsdichte (GVDOS, generalized vibrational density of states) wurde für viele quasikristalline Phasen gemessen und für einige auch bei verschiedener Temperatur [Suck et al. (1997), Dugain et al. (1997)]. Der Fortschritt, der in der Bestimmung von Näherungen für einige Quasikristalle erreicht wurde war eine legitime Motivation für numerische Untersuchungen der Gitterdynamik auf diesen Strukturen. Es wurden zwei unterschiedliche interatomare Wechselwirkungen verwendet: Das Federmodell und die ab-initio Paar Potentiale. Die Untersuchungen erklärten die Form einiger experimenteller GVDOS-Messungen (d-AlNiCo, o-Al13Co4 und i-ZnMgY) mittels der Berechnung der partiellen vibrationellen Zustandsdichte. Beide, berechnete und gemessene, GVDOS der d-AlNiCo Phase zeigten einen Intensitätsanstieg bei kleinen Energien relativ zum idealen Debye Verhalten. Dieser Anstieg stellte sich als Konsequenz der Existenz von besonderen Moden bei diesen Energien heraus, die quasi-lokalisierte Moden genannt werden. Diese Moden scheinen charakteristisch für die Gitterdynamik in den komplexen Al-TM Strukturen zu sein. Um die experimentell beobachtete Frequenzverschiebung aufgrund der Verschiebung der GVDOS durch niedrige Energien zu berechnen, wurde eine neue, auf Monte-Carlo Simulation beruhende, Methode entwickelt. Es wurde gezeigt, daß die quasi-lokalisierten Moden große Frequenzverschiebungen bei kleinen Energien hervorrufen. Letzt-lich wurde auch die vibrationelle Entropie untersucht und es stellte sich heraus, daß sie bei hohen Temperaturen dazu beiträgt die komplexen Strukturen gegenüber den relativ einfachen zu stabilisieren
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Miyazaki, Syuji, Masaomi Yoshida, and Hirokazu Fujisaka. "Parameter dependence of ballistic velocity in deterministic diffusion in the form of devil's staircase." Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-194664.

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By using simple extended mapping models showing chaotic diffusion, nonperturbative non-Gaussian characteristics of diffusive motion are examined in the framework of the large deviation statistical theory. Furthermore by rigorously solving the large deviation statistical quantities, it is found that the same type of anomalous, complex control parameter dependence as that for the diffusion coefficient reported by Klages and Dorfman is also observed in the large deviation statistical quantities such as the weighted average, the generalized diffusion coefficient and the generalized power spectrum densities.
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Miyazaki, Syuji, Masaomi Yoshida, and Hirokazu Fujisaka. "Parameter dependence of ballistic velocity in deterministic diffusion in the form of devil’s staircase." Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-195516.

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Miyazaki, Syuji, Masaomi Yoshida, and Hirokazu Fujisaka. "Parameter dependence of ballistic velocity in deterministic diffusion in the form of devil's staircase." Diffusion fundamentals 3 (2005) 9, S. 1-34, 2005. https://ul.qucosa.de/id/qucosa%3A14300.

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By using simple extended mapping models showing chaotic diffusion, nonperturbative non-Gaussian characteristics of diffusive motion are examined in the framework of the large deviation statistical theory. Furthermore by rigorously solving the large deviation statistical quantities, it is found that the same type of anomalous, complex control parameter dependence as that for the diffusion coefficient reported by Klages and Dorfman is also observed in the large deviation statistical quantities such as the weighted average, the generalized diffusion coefficient and the generalized power spectrum densities.
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Books on the topic "Affine dependence in the parameter"

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Pang, Erwin. Parameter estimation and efficient implementation of affine transforms for digital images. Ottawa: National Library of Canada = Bibliothèque nationale du Canada, 1999.

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Jong, Robert M. de. Asymptotic theory of expanding parameter space methods and data dependence in econometrics. Amsterdam: Thesis Publishers, 1993.

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Giraitis, Liudas. Rate optimal semiparametric estimation of the memory parameter of the gaussian time series withlong range dependence. London: Suntory and Toyota International Centres for Economics and Related Disciplines, 1997.

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Durham, J. Benson. Jump-diffusion processes and affine term structure models: Additional closed-form approximate solutions, distributional assumptions for jumps, and parameter estimates. Washington, D.C: Federal Reserve Board, 2005.

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Rosen, I. G. On the continuous dependence with respect to sampling of the linear quadratic regulator problem for distributed parameter systems. Hampton, Va: Institute for Computer Applications in Science and Engineering, 1990.

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Rosen, I. Gary. On the continuous dependence with respect to sampling of the linear quadratic regulator problem for distributed parameter systems. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1990.

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Pavlov, Sergey. Methods of catastrophe theory in the phenomenology of phase transitions. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1004276.

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The monograph is devoted to describing the methods of catastrophe theory and building on the basis of these methods, phenomenological models of phase transitions in solids. Methods of constructing structurally stable normal forms of functions, including functions that are imposed on the symmetry conditions. The classification of phenomenological models of phase transitions for two interacting one-component order parameter, two-component and three-component order parameters the number of control parameters varied in the experiment. Theoretical dependence of the anomalies of the physical properties of the models are compared with experimental data in ferroelectrics, magnetic materials, solid solutions of rare earth metals, multiferroics and other solids that are experiencing phase transitions. For professionals in the field of solid state physics and phase transitions.
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Rubero, John P. Copolymer composition dependence of the Flory-Huggins parameter for solutions of poly(styrene-co-methyl methacrylate) in benzene. 1990.

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Wikle, Christopher K. Spatial Statistics. Oxford University Press, 2018. http://dx.doi.org/10.1093/acrefore/9780190228620.013.710.

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The climate system consists of interactions between physical, biological, chemical, and human processes across a wide range of spatial and temporal scales. Characterizing the behavior of components of this system is crucial for scientists and decision makers. There is substantial uncertainty associated with observations of this system as well as our understanding of various system components and their interaction. Thus, inference and prediction in climate science should accommodate uncertainty in order to facilitate the decision-making process. Statistical science is designed to provide the tools to perform inference and prediction in the presence of uncertainty. In particular, the field of spatial statistics considers inference and prediction for uncertain processes that exhibit dependence in space and/or time. Traditionally, this is done descriptively through the characterization of the first two moments of the process, one expressing the mean structure and one accounting for dependence through covariability.Historically, there are three primary areas of methodological development in spatial statistics: geostatistics, which considers processes that vary continuously over space; areal or lattice processes, which considers processes that are defined on a countable discrete domain (e.g., political units); and, spatial point patterns (or point processes), which consider the locations of events in space to be a random process. All of these methods have been used in the climate sciences, but the most prominent has been the geostatistical methodology. This methodology was simultaneously discovered in geology and in meteorology and provides a way to do optimal prediction (interpolation) in space and can facilitate parameter inference for spatial data. These methods rely strongly on Gaussian process theory, which is increasingly of interest in machine learning. These methods are common in the spatial statistics literature, but much development is still being done in the area to accommodate more complex processes and “big data” applications. Newer approaches are based on restricting models to neighbor-based representations or reformulating the random spatial process in terms of a basis expansion. There are many computational and flexibility advantages to these approaches, depending on the specific implementation. Complexity is also increasingly being accommodated through the use of the hierarchical modeling paradigm, which provides a probabilistically consistent way to decompose the data, process, and parameters corresponding to the spatial or spatio-temporal process.Perhaps the biggest challenge in modern applications of spatial and spatio-temporal statistics is to develop methods that are flexible yet can account for the complex dependencies between and across processes, account for uncertainty in all aspects of the problem, and still be computationally tractable. These are daunting challenges, yet it is a very active area of research, and new solutions are constantly being developed. New methods are also being rapidly developed in the machine learning community, and these methods are increasingly more applicable to dependent processes. The interaction and cross-fertilization between the machine learning and spatial statistics community is growing, which will likely lead to a new generation of spatial statistical methods that are applicable to climate science.
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Book chapters on the topic "Affine dependence in the parameter"

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Collet, Pierre, and Jean-Pierre Eckmann. "Parameter Dependence." In Iterated Maps on the Interval as Dynamical Systems, 23–26. Boston: Birkhäuser Boston, 2009. http://dx.doi.org/10.1007/978-0-8176-4927-2_3.

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Almond, Russell G. "Information (Common Parameter) Dependence." In Graphical Belief Modeling, 285–316. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4899-7106-7_11.

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Candelpergher, Bernard. "Dependence on a Parameter." In Ramanujan Summation of Divergent Series, 61–111. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-63630-6_3.

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Almond, Russell G. "Information (Common Parameter) Dependence." In Graphical Belief Modeling, 285–316. Boca Raton: Routledge, 2022. http://dx.doi.org/10.1201/9780203719947-14.

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Teich, Jürgen, and Lothar Thiele. "Exact Partitioning of Affine Dependence Algorithms." In Embedded Processor Design Challenges, 135–53. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-45874-3_8.

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Ozeki, Kazuhiko. "Variable Parameter APAs." In Theory of Affine Projection Algorithms for Adaptive Filtering, 187–204. Tokyo: Springer Japan, 2015. http://dx.doi.org/10.1007/978-4-431-55738-8_8.

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Möller, Manfred, and Vyacheslav Pivovarchik. "Spectral Dependence on a Parameter." In Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications, 251–68. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17070-1_9.

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Glass, David H. "Parameter Dependence in Cumulative Selection." In Intelligent Data Engineering and Automated Learning – IDEAL 2014, 207–14. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10840-7_26.

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Charton, Marvin. "Transport Parameter Dependence on Intermolecular Forces." In ACS Symposium Series, 75–95. Washington, DC: American Chemical Society, 1995. http://dx.doi.org/10.1021/bk-1995-0606.ch006.

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Freudenburg, Gene. "One-Parameter Subgroups and the Triangular Subgroup of the Affine Cremona Group." In Automorphisms of Affine Spaces, 201–13. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8555-2_14.

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Conference papers on the topic "Affine dependence in the parameter"

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Prochazka, Hynek, Alexander Lanzon, and Brian D. O. Anderson. "Synthesis of parameter-dependent controllers yielding affine-in-parameters characteristic polynomials." In Proceedings of the 45th IEEE Conference on Decision and Control. IEEE, 2006. http://dx.doi.org/10.1109/cdc.2006.376741.

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Ramirez, Juan A., Luis B. Gutierrez, and Rafael E. Vasquez. "Robust Gain-Scheduled Control of a UAV Based on a Polytopic Model Approximation." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-38437.

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This work addresses the design of a robust H∞ gain-scheduled controller for the Condor Andino UAV (Unmanned Aerial Vehicle). A polytopic approximation of the linearization family of the nonlinear model is used for the design. Because the linearization family in the operating region derives in a linear parameter varying (LPV) description with a nonlinear dependence of a set of parameters, a least squares approximation of the system matrices is used in order to obtain affine dependence. The polytopic description is obtained from the affine LPV model when the operating range is defined choosing the varying parameter inside a convex hull. The controller is synthesized using the Bounded Real Lemma in order to guarantee quadratic H∞ performance over the operating region. The simulation results show that the designed controller can be successfully applied to the nonlinear system over the operating range.
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Yang, Guang-Hong, and Jiuxiang Dong. "Robust stability of polytopic systems via affine parameter-dependent Lyapunov functions." In 2009 Joint 48th IEEE Conference on Decision and Control (CDC) and 28th Chinese Control Conference (CCC). IEEE, 2009. http://dx.doi.org/10.1109/cdc.2009.5400262.

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Sivrioglu, Selim, and Kenzo Nonami. "Gain-Scheduled Hyperplane Design for Sliding Mode Control via LMI." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-3940.

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Abstract This study is concerned with design of a sliding mode hyper-plane for a class of linear parameter-varying (LPV) plants whose state-space matrices are affine function of time-varying physical parameters. The proposed hyperplane involving linear matrix in-equality (LMI) approach has continuous dynamics due to scheduling parameters and provide stability and robustness against parametric uncertainties. We have designed gain-scheduled sliding mode hyperplane for a rotor-magnetic bearing system with gyroscopic effect which can be considered LPV plant due to parameter dependence to rotational speed. The obtained hyperplane is continuously scheduled with respect to rotational speed. We successfully carried out experiment using a commercial use turbo-molecular pump system and results were reasonable and good.
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Sungyung Lim and J. P. How. "Control of LPV systems using a quasi-piecewise affine parameter-dependent Lyapunov function." In Proceedings of the 1998 American Control Conference (ACC). IEEE, 1998. http://dx.doi.org/10.1109/acc.1998.703604.

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Roy, S., and I. Hiskens. "Inverse-affine dependence of recovery-time sensitivities on critical disturbance parameters: A nonlinear dynamics explanation." In 2012 American Control Conference - ACC 2012. IEEE, 2012. http://dx.doi.org/10.1109/acc.2012.6315615.

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Paulino, Nuno, Carlos Silvestre, and Rita Cunha. "Terrain Following Controller for Affine Parameter-Dependent Systems: An Application to Model-Scale Helicopters." In AIAA Guidance, Navigation, and Control Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2005. http://dx.doi.org/10.2514/6.2005-6370.

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Hong, Sung, Jinyoung Lee, and Yoonsu Nam. "T-S fuzzy gain-scheduled control based on affine parameter-dependent model with application to aircraft roll control." In 18th Applied Aerodynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2000. http://dx.doi.org/10.2514/6.2000-4279.

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Sartori, Alberto, Davide Baroli, Antonio Cammi, Lelio Luzzi, and Gianluigi Rozza. "A Reduced Order Model for Multi-Group Time-Dependent Parametrized Reactor Spatial Kinetics." In 2014 22nd International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/icone22-30707.

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In this work, a Reduced Order Model (ROM) for multi-group time-dependent parametrized reactor spatial kinetics is presented. The Reduced Basis method (built upon a high-fidelity “truth” finite element approximation) has been applied to model the neutronics behavior of a parametrized system composed by a control rod surrounded by fissile material. The neutron kinetics has been described by means of a parametrized multi-group diffusion equation where the height of the control rod (i.e., how much the rod is inserted) plays the role of the varying parameter. In order to model a continuous movement of the rod, a piecewise affine transformation based on subdomain division has been implemented. The proposed ROM is capable to efficiently reproduce the neutron flux distribution allowing to take into account the spatial effects induced by the movement of the control rod with a computational speed-up of 30000 times, with respect to the “truth” model.
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Kobus, Chris J., Vinay Raikar, and Laila Guessous. "Utilizing the Integral Technique for Obtaining a New Dimensionless Group for Prandtl Number Dependence for Natural Convection Heat Transfer From an Isothermal Vertical Flat Plate." In ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ht-fed2004-56292.

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Research is presented in this paper where the integral technique is utilized to find a primary dimensionless group for natural convection heat transfer from an isothermal vertical flat plate. The discovery of this group from fundamental principles demonstrates the value of the chronologically mature integral technique even in this advanced era where numerical techniques are much more prevalent. The integral solution in the current research compares very favorably with experimental data for a wide range of Prandtl numbers, and also with several numerical models in the archival literature as well as empirical correlations. The good agreement, coupled with the closed-form nature of the solutions, should once again affirm the usefulness of the integral technique as a research as well as an educational tool. The result of the research in this paper is the discovery of a fundamental parameter for Prandtl number dependence in the case of natural convection from an isothermal flat plate. With this fundamental parameter, the Prandtl number dependence is effectively linearized over the entire range of data available, and a simple empirical correlation derived, whose general form may be used for other geometries.
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Reports on the topic "Affine dependence in the parameter"

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Ismail, M., A. Y. Ellithi, M. M. Botros, and Walaa M. T. Abd-Alaa. The energy dependence on the density depression parameter. Edited by Lotfia Elnai and Ramy Mawad. Journal of Modern trends in physics research, December 2014. http://dx.doi.org/10.19138/mtpr/(14)162-173.

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Zhang, Qile, Fan Guo, Hui Li, William Daughton, Ari Le, and Xiaocan Li. Particle Acceleration during Magnetic Reconnection in Solar Flares and Its Parameter Dependence. Office of Scientific and Technical Information (OSTI), March 2022. http://dx.doi.org/10.2172/1853899.

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Workman, Austin, and Jay Clausen. Meteorological property and temporal variable effect on spatial semivariance of infrared thermography of soil surfaces for detection of foreign objects. Engineer Research and Development Center (U.S.), June 2021. http://dx.doi.org/10.21079/11681/41024.

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The environmental phenomenological properties responsible for the thermal variability evident in the use of thermal infrared (IR) sensor systems is not well understood. The research objective of this work is to understand the environmental and climatological properties contributing to the temporal and spatial thermal variance of soils. We recorded thermal images of surface temperature of soil as well as several meteorological properties such as weather condition and solar irradiance of loamy soil located at the Cold Regions Research and Engineering Lab (CRREL) facility. We assessed sensor performance by analyzing how recorded meteorological properties affected the spatial structure by observing statistical differences in spatial autocorrelation and dependence parameter estimates.
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