H∞ control for sampled-data fuzzy systems

In this paper we consider the design problem of output feedback H-infinity controllers for sampled-data fuzzy systems. We first transfer them into equivalent jump fuzzy systems. We establish the so-called Bounded Real Lemma for jump fuzzy systems and give a design method of gamma-suboptimal output feedback H-infinity controllers in terms of two Riccati inequalities with jumps. We then apply the main results to the sampled-data fuzzy systems and obtain a design method of gamma-suboptimal output feedback H-infinity controllers. We give a numerical example and construct a gamma-suboptimal output feedback H-infinity controller.