Robust passive control for T-S fuzzy systems with time-varying delays

The passive analysis and control synthesis of Takagi-Sugeno (T-S) fuzzy systems with time-varying delays based on Lyapunov stability theoty is investigated. Takagi-Sugeno (T-S) fuzzy systems with time-varying delays can approach any continuous functions at any precision. The parametric uncertainty is assumed to be norm bounded. A sufficient condition on the existence of robust passive controller is established based on the Lyapunov stability theory. With the help of linear matrix inequalities (LMIs), robust passive controllers are designed such that the closed-loop system is robust stable and strictly passive. Furthermore, a convex optimization problem with LMI constraints is formulated to design robust passive controllers with the maximum dissipation rate. A numerical example demonstrates the effect of the proposed design method.