Fuzzy controller design for passive continuous-time affine T-S fuzzy models with relaxed stability conditions.
In order to design a fuzzy controller for complex nonlinear systems, the work of this paper deals with developing the relaxed stability conditions for continuous-time affine Takagi-Sugeno (T-S) fuzzy models. By applying the passivity theory and Lyapunov theory, the relaxed stability conditions are derived to guarantee the stability and passivity property of closed-loop systems. Based on these relaxed stability conditions, the synthesis of fuzzy controller design problem for passive continuous-time affine T-S fuzzy models can be easily solved via the Optimal Convex Programming Algorithm (OCPA) and Linear Matrix Inequality (LMI) technique. At last, a simulation example for the fuzzy control of a nonlinear synchronous generator system is presented to manifest the applications and effectiveness of proposed fuzzy controller design approach.
Chang
Wen-Jer
WJ
Department of Marine Engineering, National Taiwan Ocean University, Keelung 202, Taiwan, ROC. wjchang@mail.ntou.edu.tw
Ku
Cheung-Chieh
CC
Huang
Pei-Hwa
PH
Chang
Wei
W
D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D017143:Fuzzy Logic; D015233:Models, Statistical; D011786:Quality Control