H-infinity output feedback control of stochastic T-S fuzzy model with state-dependent noise

Abstract

Estimator which guarantee H-infinity robustness performance for the considered nonlinear stochastic systems can be obtained by solving bilinear matrix inequalities. Then, to solve the bilinear matrix inequalities, a two-stage method is adopted to separately obtain the controller gain matrices and the eatimator gain matrices by solving two sets of linear matrix inequalities. An example is given to verify the derived results.