\(H_\infty\) control for T-S fuzzy singularly perturbed switched systems
type: Item
instance of: scholarly article
title: \(H_\infty\) control for T-S fuzzy singularly perturbed switched systems
zbMATH Open document ID: 1426.93165
DOI: 10.1155/2017/2597071
author: Yanyan Li
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: This paper is concerned with the design of fuzzy controller with guaranteed \(H_{\infty}\) 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 \(\varepsilon\) is developed. This controller is shown to work well for all \(\varepsilon \in(0, \varepsilon_0]\). Then, for sufficiently small \(\varepsilon \), an \(\varepsilon \)-independent controller design method is proposed. Furthermore, under the \(\varepsilon \)-independent controller, the \(\varepsilon \)-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.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93C70
zbMATH DE Number: 6971882
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/2597071
OpenAlex ID: W2761713221
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description: scientific article; zbMATH DE number 6971882