Robust Sampled-data H_∞ Control Of Nonlinear Singularly Perturbed Systems Based On T-s Fuzzy Model

Based on T-S fuzzy model, state-feedback robust H_∞control problem for nonlinear singularly perturbed systems is studied. For each individual local linear model in T-S fuzzy model, the recent "input delay" approach to sampled-data control is applied, where the closed-loop system is represented as a continuous one with time-varying input delay. Linear matrix inequalities (LMIs) for solution of robust H_∞control problem are derived via input-output approach to stability and L₂-gain analysis of time-delay systems. The resulting overall controller, which is nonlinear in general, is a fuzzy "blending" of each individual linear controller.