Dynamic output feedback H∞ control for switched T–S fuzzy systems via discretized Lyapunov function technique

This paper investigates the problem of the dynamic output feedback H∞H∞ control for a class of switched T–S fuzzy systems. Based on the mode-dependent average dwell time method and discretized Lyapunov function technique (DLF), a new method is proposed to analyze the stability for the switched fuzzy systems with unstable subsystems. In addition, by using the switched parallel distributed compensation scheme, a new membership-function-dependent switching law for the controllers is constructed. Then, the dynamic output feedback controller design for the switched systems with time-dependent switching law is proposed based on the DLF technique. Finally, sufficient conditions of the existence of the dynamic output feedback controller are proposed and formulated in the form of linear matrix inequalities (LMIs). The effectiveness of the proposed method is illustrated through three simulation examples.