Controller design and analysis for singularly perturbed switched systems with actuator saturation |
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Authors: | Xiaoping Ma Qianjin Wang Linna Zhou Chunyu Yang |
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Affiliation: | School of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou, China |
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Abstract: | 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. |
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Keywords: | singularly perturbed switched systems actuator saturation controller design stability bound basin of attraction |
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