Robust state feedback stabilization of uncertain switched linear systems

In this paper, the problem of robust stabilization for a class of uncertain switched linear systems with unknown-but-bounded uncertainty is studied. By using the condition of completeness, a sufficient condition of robust stabilization for switched systems is obtained under the assumption that each subsystem cannot be stabilized. Based on LMI (linear matrix inequality) method, robust state feedback controllers and a switching law are designed to make the closed-loop systems be asymptotically stable on the equilibrium point. The simulation result shows the validity of the designed controllers and the switching law.