Title :
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
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;
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
