H∞ control for sampled-data fuzzy systems

In this paper, we consider the design problem of output feedback H_∞ 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 γ-suboptimal output feedback H_∞ controllers in terms of two Ricatti inequalities with jumps. We then apply the main results to the sampled-data fuzzy systems and obtain a design method of γ-suboptimal output feedback H_∞ controllers. We give a numerical example and construct a γ-suboptimal output feedback H_∞ controller.