Optimal guaranteed cost control for a class of switched singular systems with time-delay

The problem of optimal guaranteed cost control for a class of switched singular systems with time-delay is considered. By means of multiple Lyapunov function approaches and linear matrix inequality technique, a sufficient condition for the existence of guaranteed cost sub-controllers is presented, which is in the form of matrix inequalities, accordingly, both sub-controllers and switching strategy are designed. Furthermore, a convex optimization problem with LMIs constraints is formulated, the design of optimal guaranteed cost sub-controllers and the minimization of the upper boundary of closed-loop performance index are obtained by using the LMI toolbox in Matlab. Finally, numerical examples shows that the results obtained in this paper are effective.