Robust control for polytopic uncertain markovian jump systems with mixed time-varying delays

This paper investigates the robust control problem for mode-dependent timedelay systems with Markovian jumping parameters. Some sufficient conditions are obtained, which ensure the resulting closed-loop systems to be robustly stochastically stable and to satisfy H∞ performance and L2 - L∞ performance, respectively. The cone complementary linearization algorithm is used to solve the nonlinear matrix inequalities in main results. The robust H∞ (or L2 - L∞) state feedback controller can be constructed through the numerical solutions of the convex programming problem. Finally, an example is provided to illustrate the effectiveness of the proposed methods. © 2012 ISSN.