Guaranteed cost control for a class of uncertain switched linear systems

In this paper, the guaranteed cost control problem for a class of switched linear systems with norm-bounded time-varying parameter uncertainty is considered. With respect to a given quadratic cost function, a sufficient condition for the existence of guaranteed cost state feedback controllers is derived based on the convex combination technique. A procedure to construct the robust guaranteed cost state feedback controllers and switching law is presented. Finally, a numeric simulation is given to show the effectiveness of the design method.