H∞ control of nonlinear discrete-time systems based on dynamical fuzzy models

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)229-241
Journal / PublicationInternational Journal of Systems Science
Volume31
Issue number2
Publication statusPublished - Feb 2000
Externally publishedYes

Abstract

This paper presents a solution to H control problem for a class of discrete-time nonlinear systems. This class of nonlinear systems can be represented by a discrete-time dynamical fuzzy model. A suitable quadratic Lyapunov function is used to establish asymptotic stability with an l2-norm bound γ of the closed-loop system. Furthermore, a constructive algorithm is developed to obtain the stabilizing feedback control law. The controller design algorithm involves solving a set of suitable algebraic Riccati equations. An example is given to illustrate the application of the method.

Citation Format(s)

H∞ control of nonlinear discrete-time systems based on dynamical fuzzy models. / Cao, S. G.; Rees, N. W.; Feng, G. et al.
In: International Journal of Systems Science, Vol. 31, No. 2, 02.2000, p. 229-241.

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