Stabilizing controller synthesis of delta-operator formulated fuzzy dynamic systems

Author

Li, De-Quan ; Sun, Chang-Yin ; Fei, Shu-min

Author_Institution

Dept. of Math. & Phys., Anhui Univ. of Sci. & Technol., Huainan, China

Volume

1

fYear

2004

fDate

26-29 Aug. 2004

Firstpage

417

Abstract

A Lyapunov-based stabilizing control synthesis method is proposed for discrete-time Takagi-Sugeno (T-S) fuzzy dynamic systems in delta-operator form. A sufficient condition based on the Lyapunov´s stability theory in delta domain is obtained for the fuzzy control system, which covers both the existing related results for discrete-time and continuous-time T-S 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 the commercially available software.

Keywords

Lyapunov methods; continuous time systems; control engineering computing; control system synthesis; discrete time systems; fuzzy control; fuzzy systems; linear matrix inequalities; stability; state feedback; time-varying systems; Lyapunov-based stabilizing control synthesis method; continuous-time fuzzy control systems; delta-operator formulated fuzzy dynamic system; discrete-time fuzzy control system; linear matrix inequality; state feedback; Control system synthesis; Control systems; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Linear systems; Nonlinear systems; Riccati equations; Sampling methods; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2004. Proceedings of 2004 International Conference on

Print_ISBN

0-7803-8403-2

Type

conf

DOI

10.1109/ICMLC.2004.1380722

Filename

1380722