Controller Design And Stability Analysis For A Class T-S Fuzzy Bilinear Systems

Fuzzy control as an important branch of the intelligent control, its greatest feature is against all kinds of nonlinear,strong coupling,uncertainty,time-varying multivariable complex systems, is widely applied in various areas of control, and obtain good control effect. Therefore, research on fuzzy control system has important significance of theoretical and practical.In this paper, based on Lyapunov stability theory, through using linear matrix inequality and the design of the new controller, propose the stability of a class of T-S fuzzy system and design H_∞tracking problem to meet performance, respectively. The full thesis of the content can be summarized as follows:Firstly, briefly introduces the production,the development,the description and the basic question of the fuzzy control. At last, describes the main work of the thesis.Secondly, proposes the stability analysis for a class of T-S multi-input fuzzy bilinear systems and T-S multi-input fuzzy bilinear systems with parametric uncertainties, respectively. For controller design, the parallel distributed compensation (PDC) method is utilized for the multi-inputs fuzzy bilinear system (M-I FBS) and some sufficient conditions are derived to guarantee the stability of the overall fuzzy control system. Moreover, some sufficient conditions for robust stabilization of the FBS with parametric uncertainties are propounded.Thirdly, a fuzzy tracking control technique for nonlinear system based on fuzzy T-S bilinear model is developed. Fuzzy T-S bilinear model is employed to represent a nonlinear system. The parallel distributes compensation (PDC) method is utilized for the fuzzy controller design and a sufficient conditions is derived to guarantee the system to meet tracking performance.