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Controller design and analysis for singularly perturbed switched systems with actuator saturation
Author(s) -
Ma Xiaoping,
Wang Qianjin,
Zhou Linna,
Yang Chunyu
Publication year - 2016
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3514
Subject(s) - control theory (sociology) , actuator , singular perturbation , perturbation (astronomy) , convex optimization , controller (irrigation) , servomechanism , saturation (graph theory) , upper and lower bounds , mathematics , position (finance) , stability (learning theory) , computer science , regular polygon , engineering , control engineering , control (management) , physics , mathematical analysis , geometry , finance , quantum mechanics , artificial intelligence , combinatorics , machine learning , agronomy , economics , biology
Summary This paper investigates the problems of controller design and stability analysis for singularly perturbed switched systems subject to actuator saturation. A set of well‐defined sufficient conditions for the existence of state feedback controllers is proposed, under which the closed‐loop system is locally asymptotically stable for arbitrary switching law as long as the singular perturbation parameter is sufficiently small. With the obtained controller, the estimation problem of stability bound and basin of attraction of the closed‐loop system is reduced to solving a convex optimization problem. A numerical example and a hydraulic servo position system are used to illustrate the obtained results. Copyright © 2016 John Wiley & Sons, Ltd.