An approach to H∞ control of fuzzy dynamic systems

J. Ma; G. Feng

doi:10.1016/S0165-0114(02)00281-6

An approach to H_∞ control of fuzzy dynamic systems

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Overview

47 Scopus Citations

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Author(s)

Related Research Unit(s)

Department of Information Systems

Detail(s)

Original language	English
Pages (from-to)	367-386
Journal / Publication	Fuzzy Sets and Systems
Volume	137
Issue number	3
Online published	24 Oct 2002
Publication status	Published - 1 Aug 2003

Link(s)

DOI	DOI https://doi.org/10.1016/S0165-0114(02)00281-6 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0041375514&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(7d76ee67-05b1-4425-afbf-31886ab2f84d).html

Abstract

This paper presents an approach to H_∞ control of a class of continuous-time nonlinear systems which can be represented by a fuzzy dynamic model. A suitable piecewise differentiable quadratic Lyapunov function is used to establish asymptotic stability and H_∞ performance of the closed-loop fuzzy control system. A constructive algorithm is developed to obtain the H_∞ feedback control law, which involves solving a set of suitable algebraic Riccati equations. An example is given to illustrate the application of the method.