Robust H∞ control of nonlinear system based on T-S fuzzy model

An observe-based robust H_infin control condition is proposed based on T-S fuzzy model to deal with nonlinear and uncertainty system. The observer and controller are capable of disturbance-rejection in the presence of unknown but bounded disturbance. The fuzzy version of bounded real lemma (BRL) is adopted. The condition is shown to be less conservative than other conditions published recently. Robust output H_infin controller and observer are designed by solving a set of bilinear matrix inequalities. Finally, the validity of the approach is demonstrated by examples.