H¿ Output Feedback Control of Fuzzy Systems with Immeasurable Premise Variables
Jun Yoneyama · 2006
This paper is concerned with an Hinfinoutput feedback control of Takagi-Sugeno fuzzy systems with immeasurable premise variables. Takagi-Sugeno fuzzy systems can usually approximate nonlinear systems and can even describe a certain class of nonlinear system exactly. When we consider the output feedback control of 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 an Hinfinoutput feedback control problem. In this problem, the premise variable may not be measurable. Thus we formulate an Hinfinoutput feedback control problem of fuzzy systems as a robust Hinfincontrol of uncertain systems. Numerical examples are given to illustrate our theory