Design of discrete time fuzzy controller based on piecewise Lyapunov functions

Author

Feng, Gang ; Lu, Guo Ping

Author_Institution

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

Volume

4

fYear

2002

fDate

2002

Firstpage

3247

Abstract

Presents a controller synthesis method for discrete time fuzzy dynamic systems based on a piecewise smooth Lyapunov function. The basic idea of the proposed approach is to construct controllers for the fuzzy dynamic systems in such a way that a piecewise smooth Lyapunov function can be used to establish the global stability of the resulting closed loop fuzzy control systems. It is shown that the control laws can be obtained by solving a set of linear matrix inequalities that is numerically feasible with commercially available software. An example is given to illustrate the application of the proposed method.

Keywords

Lyapunov methods; asymptotic stability; closed loop systems; control system synthesis; discrete time systems; fuzzy control; matrix algebra; closed loop fuzzy control systems; control laws; controller synthesis method; discrete time fuzzy controller; global stability; linear matrix inequalities; piecewise Lyapunov functions; smooth Lyapunov function; Control system synthesis; Control systems; Fuzzy control; Fuzzy logic; Fuzzy systems; Humans; Linear matrix inequalities; Lyapunov method; Nonlinear control systems; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2002. Proceedings of the 4th World Congress on

Print_ISBN

0-7803-7268-9

Type

conf

DOI

10.1109/WCICA.2002.1020134

Filename

1020134