H∞ control for fuzzy singularly perturbed systems

In this paper, both the state feedback and static output feedback H∞ controllers for fuzzy singularly perturbed systems are investigated. We give sufficient conditions for the existence of H∞ 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.