Optimal Guaranteed Cost Control of Switched Singular Systems

In this paper, we consider the problem of optimal guaranteed cost control (GCC) for linear switched singular systems. A sufficient condition is given to guarantee that the GCC problem has feasible solutions according to the multiple Lyapunov function theory. Switching proportional-derivative (PD) state feedback guaranteed cost controllers are designed using step-by-step design. Next, optimal guaranteed cost controllers are designed by solving a convex optimization problem with some inequalities constraints. Numerical simulation shows the merits and the efficiency of the proposed methods.