H/sub 2/ state feedback control for fuzzy singularly perturbed systems

Abstract

This study introduces an H/sub 2/ fuzzy state feedback control design method for nonlinear singularly perturbed systems. First, the Takagi-Sugeno fuzzy model is employed to approximate a nonlinear singularly perturbed system. Next, based on the fuzzy singularly perturbed model, a fuzzy PDC /spl epsiv/-independent controller is developed to achieve the H/sub 2/ performance for small enough /spl epsiv/. By the proposed two-stage procedure, the control problem is parameterized in terms of two sub problem, one can be reduced to a set of LMIs, the other can be recast into a set of BMIs, furthermore, the BMIs will be solved by the proposed iterative LMI(ILMI).