Control for T-S Fuzzy Singularly Perturbed Switched Systems

Qianjin Wang, Linna Zhou, Wei Dai and Xiaoping Ma

Mathematical Problems in Engineering, 2017, vol. 2017, 1-13

Abstract:

This paper is concerned with the design of fuzzy controller with guaranteed 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 is developed. This controller is shown to work well for all . Then, for sufficiently small an -independent controller design method is proposed. Furthermore, under the -independent controller, the -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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2597071

DOI: 10.1155/2017/2597071

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