Analytical design of Takagi-Sugeno fuzzy control systems

Author

Ren, Guang ; Xiu, Zhi-Hong

Author_Institution

Marine Eng. Coll., Dalian Maritime Univ., China

fYear

2005

fDate

8-10 June 2005

Firstpage

1733

Abstract

Based on the properties analysis of Takagi-Sugeno (T-S) fuzzy systems with two-overlapped fuzzy partition (TFP) inputs, an analytical design approach of T-S fuzzy control systems is proposed in this paper. This approach includes two parts: (1) a new method to check the stability of a T-S fuzzy control system which only requires to find a common positive-definite matrix in each maximal overlapped-rules group (MORG). This method can reduce the conservatism and difficulty of the former stability analysis methods. (2) The systematic design of T-S fuzzy controllers by means of the parallel distributed compensation (PDC) and linear matrix inequalities (LMI). The simulation results of a nonlinear mass-spring-damper system show that this approach is effective.

Keywords

control system analysis; control system synthesis; distributed control; fuzzy control; linear matrix inequalities; nonlinear control systems; parallel processing; shock absorbers; springs (mechanical); stability; vibration control; Takagi-Sugeno fuzzy control system; analytical design; linear matrix inequalities; maximal overlapped-rules group; nonlinear mass-spring-damper system; parallel distributed compensation; stability; two-overlapped fuzzy partition inputs; Cement industry; Chemical industry; Control systems; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Stability analysis; Takagi-Sugeno model; Uncertain systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2005. Proceedings of the 2005

ISSN

0743-1619

Print_ISBN

0-7803-9098-9

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2005.1470218

Filename

1470218