Control Synthesis of T–S Fuzzy Systems Based on a New Control Scheme

Author

Dong, Jiuxiang ; Yang, Guang-hong

Author_Institution

Key Lab. of Integrated Autom. of Process Ind. (Min istry of Educ.), Northeastern Univ., Shenyang, China

Volume

19

Issue

2

fYear

2011

fDate

4/1/2011 12:00:00 AM

Firstpage

323

Lastpage

338

Abstract

This paper studies the control synthesis problem of Takagi-Sugeno (T--S) fuzzy systems. By splitting the premise variable spaces and using the properties of fuzzy sets, a new control scheme is proposed based on a new class of fuzzy Lyapunov functions, and a convex condition for designing fuzzy controllers is given, where the new fuzzy Lyapunov functions and fuzzy controllers are constructed based on the split subspaces. In particular, some existing fuzzy Lyapunov functions and control schemes are special cases of the new Lyapunov function and control scheme, respectively. Numerical examples are given to illustrate the effectiveness of the proposed method.

Keywords

Lyapunov methods; control system synthesis; fuzzy control; fuzzy set theory; linear matrix inequalities; nonlinear control systems; Takagi-Sugeno fuzzy systems; control scheme; control synthesis problem; fuzzy Lyapunov functions; fuzzy controllers; fuzzy sets; linear matrix inequalities; nonlinear systems; split subspaces; Control systems; Fuzzy control; Fuzzy sets; Lyapunov method; Nonlinear systems; Stability analysis; Fuzzy control; Takagi–Sugeno (T–S) fuzzy models; fuzzy Lyapunov function; linear matrix inequalities (LMIs); nonlinear systems;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/TFUZZ.2010.2096470

Filename

5657253