Hybrid H∞ robust control for a class of uncertain fuzzy systems with time-varying delay

This paper studies H_∞ robust control for a class of uncertain T-S fuzzy systems with time-varying delay by using controller switching technique. Based on the switching Lyapunov function and parallel distributed compensation principle(PDC), sufficient conditions of the switching fuzzy H_∞ controller design are provided to guarantee the stabilization of the system with H_∞ norm γ, which is in terms of the solvability of a set of linear matrix inequalities(LMIs). A simulation result shows the feasibility and effectiveness of the designed method.