Observer-based H∞ fuzzy control design for T-S fuzzy systems with state delays

Abstract

This paper is concerned with the problem of observer-based H∞ fuzzy control design for Takagi-Sugeno (T-S) fuzzy systems with time-delay. The main contribution is that an effective matrix decoupling technique is developed to derive a single-step LMI condition for observer-based H∞ control design. This overcomes the drawback of two-step LMI approach in the literature. When restricted to delay-free fuzzy systems, the present result is shown less conservative than existing ones. An illustrative example is given to show the effectiveness of our results. © 2007 Elsevier Ltd. All rights reserved.