Approaches to quadratic stabilization of uncertain fuzzy dynamic systems

Author

Feng, Gang

Author_Institution

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

Volume

48

Issue

6

fYear

2001

fDate

6/1/2001 12:00:00 AM

Firstpage

760

Lastpage

769

Abstract

A new approach to quadratic stabilization of uncertain fuzzy dynamic systems is developed in this paper. This uncertain fuzzy dynamic model is used to represent a class of uncertain continuous time complex nonlinear systems which include both linguistic information and system uncertainties. It is shown that the uncertain fuzzy dynamic system can be stabilized if a suitable Riccati equation or a set of Riccati equations has 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

Riccati equations; continuous time systems; feedback; fuzzy systems; nonlinear control systems; stability; Riccati equation; linguistic information; quadratic stabilization; stabilization feedback control laws; system uncertainties; uncertain continuous time complex nonlinear systems; uncertain fuzzy dynamic systems; Chaos; Circuits; Ferroresonance; Fractals; Frequency; Fuzzy systems; Nonlinear dynamical systems; Nonlinear equations; Riccati equations; Voltage transformers;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.928159

Filename

928159