Improving nonlinear T-S fuzzy controller design using sum of squares technique

Author

Chen, Shun Hong ; Juang, Jyh Ching

Author_Institution

Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan

fYear

2008

fDate

20-22 Aug. 2008

Firstpage

1845

Lastpage

1850

Abstract

The paper presents a nonlinear controller synthesis for the Takagi-Sugeno (T-S) fuzzy model based on sum of squares (SOS) technique. A T-S fuzzy model is known to be usable in modeling and control of nonlinear systems. In the paper, the Lyapunov direct method is applied to formulate a sufficient condition for the stability and optimal control of a T-S fuzzy model in terms of SOS programming. The controller design algorithm is iteratively carried out to enlarge the region of attraction of Lyapunov functions and guarantee the stability of the nonlinear controller. Computer simulations for an eccentric rotational proof mass actuator (TORA) system demonstrate the effectiveness of the nonlinear fuzzy control.

Keywords

Lyapunov methods; control system synthesis; fuzzy control; nonlinear control systems; optimal control; stability; Lyapunov direct method; Lyapunov functions; SOS programming; Takagi-Sugeno fuzzy model; controller design algorithm; nonlinear T-S fuzzy controller design; nonlinear controller synthesis; nonlinear fuzzy control; nonlinear systems; optimal control; rotational proof mass actuator system; stability; sufficient condition; sum of squares technique; Algorithm design and analysis; Control system synthesis; Fuzzy control; Fuzzy systems; Nonlinear control systems; Nonlinear systems; Optimal control; Stability; Sufficient conditions; Takagi-Sugeno model;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE Annual Conference, 2008

Conference_Location

Tokyo

Print_ISBN

978-4-907764-30-2

Electronic_ISBN

978-4-907764-29-6

Type

conf

DOI

10.1109/SICE.2008.4654962

Filename

4654962