A new H∞ state feedback controller design method for T-S fuzzy system

Author

Yin Hang ; Liu Yang ; Huang Xianlin ; Ban Xiaojun

Author_Institution

Center for Control Theor. & Guidance Technol., Harbin Inst. of Technol., Harbin, China

fYear

2014

fDate

28-30 July 2014

Firstpage

4494

Lastpage

4499

Abstract

In this article, a new systematic synthesis method is proposed to design a state feedback fuzzy controller for a Takagi-Sugeno (T-S) fuzzy plant. Both the stability and H_∞ performance of the closed-loop system are considered. More specifically, by using the information that the degree of membership function is constrained within the interval [0, 1], the T-S fuzzy plant is transformed into the form of linear fractional transformation (LFT). Within the framework of LFT, the problem of stability and H_∞ performance for the T-S fuzzy system can be reformulated into a convex optimization problem which can be approached by solving two linear matrix inequalities. An numerical example is provided to illustrate the effectiveness of the proposed method.

Keywords

H^∞ control; closed loop systems; control system synthesis; convex programming; fuzzy control; fuzzy systems; linear matrix inequalities; stability; state feedback; H_∞ state feedback controller design method; LFT; T-S fuzzy plant; T-S fuzzy system; Takagi- Sugeno fuzzy plant; closed-loop system; convex optimization problem; linear fractional transformation; linear matrix inequalities; membership function; systematic synthesis method; Closed loop systems; Fuzzy systems; Linear matrix inequalities; Numerical stability; Quantum cascade lasers; Stability analysis; State feedback; H∞ control; T-S fuzzy system; linear fractional transformation;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6895694

Filename

6895694