Quadratic stabilization of uncertain discrete-time fuzzy dynamic systems

Author

Feng, Gang ; Ma, Jian

Author_Institution

Dept. of MEEM, City Univ. of Hong Kong, Kowloon, China

Volume

48

Issue

11

fYear

2001

fDate

11/1/2001 12:00:00 AM

Firstpage

1337

Lastpage

1344

Abstract

New approaches to quadratic stabilization of uncertain discrete-time fuzzy dynamic systems are developed in this paper. This uncertain fuzzy dynamic model is used to represent a class of uncertain discrete-time complex nonlinear systems which include both linguistic information and system uncertainties. It is shown that the uncertain fuzzy dynamic system is stabilizable if a suitable Riccati equation or a set of Riccati equations have solutions. Constructive algorithms are also developed to obtain the stabilization feedback control laws. Finally, an example is given to illustrate the application of the proposed method

Keywords

Lyapunov methods; Riccati equations; discrete time systems; feedback; fuzzy control; fuzzy systems; nonlinear control systems; piecewise linear techniques; stability; Riccati equation; complex nonlinear systems; constructive algorithms; feedback control laws; fuzzy dynamic model; fuzzy logic control; linguistic information; piecewise Lyapunov function; quadratic stabilization; system uncertainties; uncertain discrete-time fuzzy dynamic systems; Control systems; Fuzzy control; Fuzzy logic; Fuzzy systems; Humans; Nonlinear control systems; Nonlinear dynamical systems; Riccati equations; Stability; Uncertainty;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.964424

Filename

964424