Title :
Static Output Feedback Fuzzy Controller Design via a Mixed Approach for Regional T-S Fuzzy System
Author :
Wu, Sheng-Ming ; Yu, Fang-Ming ; Sun, Chein-Chung ; Chung, Hung-Yuan
Author_Institution :
Nat. Central Univ., Chungli
Abstract :
This paper proposes a Takagi-Sugeno (T-S) fuzzy region model to relax the original one. Such switching concept has got rid of Parallel Distributed Compensation (PDC) complicated analysis. By mixing genetic algorithm (GA) and linear matrix inequality (LMI), we present a new hybrid approach about the static output feedback controller design. It is unlike other researches that involve complicated mathematic transformations and system constraints. In this paper, we fix the static output feedback gains by GA to solve the non-convex problem. It is proved that the existence of a set of solvable non-linear matrix inequality (NLMI) suffices to guarantee the stabilization of T-S fuzzy region system. Numerical examples are given to illustrate the effectiveness of the algorithm and validate the new method.
Keywords :
control system synthesis; feedback; fuzzy control; genetic algorithms; linear matrix inequalities; Takagi-Sugeno fuzzy region model; mathematic transformations; nonlinear matrix inequality; parallel distributed compensation; regional T-S fuzzy system; static output feedback fuzzy controller design; system constraints; Algorithm design and analysis; Control systems; Fuzzy control; Fuzzy systems; Genetic algorithms; Linear feedback control systems; Linear matrix inequalities; Mathematics; Output feedback; Takagi-Sugeno model;
Conference_Titel :
Systems, Man and Cybernetics, 2006. SMC '06. IEEE International Conference on
Conference_Location :
Taipei
Print_ISBN :
1-4244-0099-6
Electronic_ISBN :
1-4244-0100-3
DOI :
10.1109/ICSMC.2006.384587