Dissipative control to fuzzy systems with nonlinearities at the input — An SOS approach

Author

Lo, Ji-Chang ; Wan, Jia-Ren ; Liao, Wei-Cheng

Author_Institution

Mech. Eng., Nat. Central Univ., Chungli, Taiwan

fYear

2011

fDate

15-18 May 2011

Firstpage

1498

Lastpage

1503

Abstract

The goal of this paper is, via dissipative control, to solve a stabilization problem for fuzzy systems with sector-bounded nonlinearities at their input. We first reformulate the problems in a new, related stabilization problem such that the closed-loop fuzzy system is dissipative with respect to a specifically chosen quadratic supply rate. Then, based on Lyapunov method, we derive the stabilization conditions for a state feedback stabilizing controller, leading to an LMI representation that can be numerically solved by existing SOS (Sum of Squares) solvers. Finally the validity of the proposed method is illuminated by examples.

Keywords

Lyapunov methods; closed loop systems; fuzzy systems; linear matrix inequalities; stability; LMI; Lyapunov method; SOS approach; closed loop fuzzy system; dissipative control; linear matrix inequality; quadratic supply rate; stabilization; state feedback; Fuzzy systems; Nonlinear systems; Robustness; Stability analysis; State feedback; Takagi-Sugeno model; Dissipative control; Linear matrix inequality (LMI); Sector-bounded non-linearity; Takagi-Sugeno fuzzy models;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ASCC), 2011 8th Asian

Conference_Location

Kaohsiung

Print_ISBN

978-1-61284-487-9

Electronic_ISBN

978-89-956056-4-6

Type

conf

Filename

5899295