Decay Rate Control with Guaranteed Cost for Takagi-Sugeno Fuzzy System

Abstract

This paper proposes a design of decay rate controllers with guaranteed cost for Takagi-Sugeno fuzzy systems. A guaranteed cost control takes care of not only stabilization but also system performance. The controller design is based on multiple Lyapunov matrix approach, which comes from a new Lyapunov function. An illustrative example is given to show the effectiveness of the proposed controller.