Abstract:

The problem of optimal guaranteed cost control for a class of switched singular systems with time-delay is considered. By means of Lyapunov function approaches and convex combination techniques, a sufficient condition for the existence of guaranteed cost sub-controllers is presented, which is in the form of linear matrix inequalities (LMIs), 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, a numerical example shows that the obtained results are effective.