H2 Control design for fuzzy dynamic systems via LMI

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)275-287
Journal / PublicationJournal of Intelligent and Fuzzy Systems
Volume8
Issue number4
Publication statusPublished - 2000
Externally publishedYes

Abstract

This paper addresses the robust H2 control design of complex nonlinear systems which can be represented by a fuzzy dynamic model. Based on a continuous Lyapunov function and a piecewise continuous Lyapunov function respectively, two kinds of new control design methods are proposed using Lyapunov stability theory, robust H2 control theory and Linear Matrix Inequalities (LMI) techniques. It is shown that the closed loop fuzzy control system is asymptotically stable with a white noise attenuation. The robust H2 fuzzy controller can be obtained by using the LMI techniques. An example is given to demonstrate the application of the proposed design methods.

Citation Format(s)

H2 Control design for fuzzy dynamic systems via LMI. / Zhang, Ning; Feng, Gang.

In: Journal of Intelligent and Fuzzy Systems, Vol. 8, No. 4, 2000, p. 275-287.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review