h∞ control for t-s fuzzy singularly perturbed switched systems

h∞ control for t-s fuzzy singularly perturbed switched systems

;Qianjin Wang;Linna Zhou;Wei Dai;Xiaoping Ma
journal of power sources 2017 Vol. 2017 pp. -
153
wang2017mathematicalh

Abstract

This paper is concerned with the design of fuzzy controller with guaranteed H∞ performance for a class of Takagi-Sugeno (T-S) fuzzy singularly perturbed switched systems. First, by using the average dwell time approach together with the piecewise Lyapunov function technique, a state feedback controller that depends on the singular perturbation parameter ε is developed. This controller is shown to work well for all ε∈(0,ε0]. Then, for sufficiently small ε, an ε-independent controller design method is proposed. Furthermore, under the ε-independent controller, the ε-bound estimation problem of the overall switched closed-loop system is solved. Finally, an inverted pendulum system is used to evaluate the feasibility and effectiveness of the obtained results.

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ID: 132118
Ref Key: wang2017mathematicalh
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132118
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10.1155/2017/2597071
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