Stability analysis for uncertain T-S fuzzy singular systems based on input/output constraints

By means of linear matrix inequality (LMI), a robust stability analysis method is presented to discuss the robust stability for uncertain T-S fuzzy singular systems. Based on the Lyapunov stability theory, a sufficient condition which makes the uncertain T-S fuzzy singular systems robust stability is obtained. Moreover, an ellipse constraint is given to change the input/output constraints into a group of LMI bindings by using elliptic invariant domain and S-Procesure methods. Finally, a sufficient condition for uncertain T-S fuzzy singular systems robust stable and satisfying the input/output constraints has been derived.