H∞ control for fuzzy singularly perturbed systems

In this paper, both the state feedback and static output feedback H(infinity) controllers for fuzzy singularly perturbed systems are investigated. We give sufficient conditions for the existence of H(infinity) controller such that the closed-loop fuzzy control system is globally stable and achieves a prescribed level of disturbance attenuation for sufficiently small perturbation parameters. The linear matrix inequality (LMI) approach is proposed to obtain the state-feedback gains, and a homotopy-based iterative LMI algorithm is developed to get the static output feedback gains. Simulation results for two examples are included to demonstrate the effectiveness of the proposed approaches. (c) 2005 Elsevier B.V. All rights reserved.