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http://dx.doi.org/10.5391/JKIIS.2009.19.6.840

An H∞ Output Feedback Control for Uncertain Singularly Perturbed T-S Fuzzy Systems  

Yoo, Seog-Hwan (Department of Electronic Engineering, Daegu University)
Wu, Xue-Dong (Department of Electronic Engineering, Daegu University)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.19, no.6, 2009 , pp. 840-847 More about this Journal
Abstract
This paper deals with an $H_{\infty}$ output feedback controller design for uncertain singularly perturbed T-S fuzzy systems. Integral quadratic constraints are used to describe various kinds of uncertainties of the plant. It is shown that the $H_{\infty}$ norm of the uncertain singularly perturbed fuzzy system is less than $\gamma$ for a sufficiently small $\varepsilon$ > 0 if the $H_{\infty}$ norms of both the slow and fast subsystem are less than $\gamma$. Using this fact, we develop a linear matrix inequality based design method which is independent of the singular perturbation parameter $\varepsilon$. A numerical example is provided to demonstrate the efficacy of the proposed design method.
Keywords
Uncertain Singularly Perturbed Systems; Linear Matrix Inequality; $H_{\infty}$ Fuzzy Control; Integral Quadratic Constraints; T-S Fuzzy System;
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