Dynamic Output Feedback H__∞ Control for Fuzzy Singularly Perturbed Systems

For a class of nonlinear singularly perturbed systems,a model of fuzzy singularly perturbed systems based on T-S model is built.With the help of Lyapunov approach and Schur complement theorem,the dynamic output feedback H_∞ control of the system is investigated.The design of the dynamic output feedback H_∞ controller is solved by a set of ε-independent linear matrix inequalities,so the ill-conditioned problem caused by ε in numerical solution is avoided effectively.The obtained controller enables the closed-loop systems to be stable asymptotically and to achieve the given H_∞ performance.The proposed approach can be applied to both standard and nonstandard nonlinear singularly perturbed systems.A simulation example is provided to illustrate the effectiveness of the presented approach.