Stability and stabilization of Takagi-Sugeno fuzzy switched system with time-delay

This paper presents the stability result and switching law for the considered unforced Takagi-Sugeno time-delay fuzzy switched system. For controller design, the parallel distributed compensation method is adopted to design a fuzzy controller to stabilize the time-delay fuzzy switched system. In addition, the stability and stabilization conditions for the overall fuzzy control system are formulated by linear matrix inequalities. Finally, an example is utilized to demonstrate the effectiveness of the proposed schemes.