Robust controller design for a T-S fuzzy modeled system with modeling error

Abstract

This paper presents a new fuzzy dynamic output feedback: controller design technique for the Takagi Sugeno (T-S) fuzzy model with unknown-but-bounded time-varying modeling error. It is shown that the quadratic stabilization problem of the T-S fuzzy modeled system can be converted into an H-infinity control problem of the scaled polytopic Linear Parameter Varying (LPV) system. Then, a controller satisfying a prescribed H-infinity performance is designed for the stabilization of the T-S fuzzy modeled system.