ABSTRACT
Stabilization controller synthesis of T-S fuzzy systems has been studied based on common, piecewise, and fuzzy quadratic Lyapunov functions, respectively, in the last chapter, where T-S fuzzy systems are supposed to be ideal in the sense that there are no modeling uncertainties such as unmodeled dynamics or disturbances. However, those uncertainties are unavoidable for most systems in practice. Therefore, robustness issues of control systems under such circumstances have to be addressed. This chapter presents a number of results on robust H∞ controller synthesis of T-S fuzzy systems with external disturbances based on those three commonly used Lyapunov functions.
