Output Feedback Guaranteed Cost Control of Fuzzy Systems with Immeasurable Premise Variables

Abstract

This paper is concerned with output feedback stabilization with guaranteed cost of Takagi-Sugeno fuzzy systems with immeasurable premise variables. When we consider Takagi-Sugeno fuzzy systems, the selection of premise variables plays an important role. If the premise variable is the state of the system, then a fuzzy system describes a wide class of nonlinear systems. However, the state is not measurable in the output feedback control problem. In this case, a control design of the underlying nonlinear system based on its fuzzy system description is difficult. In this paper, we consider a problem of the output feedback stabilization with guaranteed cost. In this problem, the premise variable may not be measurable. Thus we formulate the output feedback stabilization with guaranteed cost problem of fuzzy systems as a robust stabilization of uncertain systems. Numerical examples illustrate our theory.