Stability analysis and design of output feedback controllers for Takagi-Sugeno fuzzy systems
T-S模糊系统输出反馈控制器的稳定性分析与设计

Output feedback control is an important approach to the design of Takagi-Sugeno (T-S) fuzzy control systems. New stability analysis and analytical design methods of output feedback controllers are proposed for T-S fuzzy systems in this paper. The output feedback controller is constructed with a fuzzy regulator and a fuzzy observer. In order to use the structural information in the rule base to decrease the conservatism of the stability analysis, the standard fuzzy partition (SFP) is employed on the premise variables of T-S fuzzy systems. New stability conditions are also obtained by relaxing the stability conditions derived in previous papers. The concept of parallel distributed compensation (PDC) and linear matrix inequality (LMI) are employed to design an output feedback controller for T-S fuzzy models. The output feedback controller design and simulation results of a nonlinear mass-spring-damper mechanical system show that these methods are effective.