Robust Output Feedback Stabilization for Uncertain Switched Systems

The problem of robust stabilization for a class of uncertain switched linear systems is studied. Supposed that there exist finite appointed static output feedback controllers, the subsystem can´t be stabilized by using a single appointed controller accordingly. The parameter uncertainties are time-varying and unknown but are norm-bounded. By using the completeness and LMI (linear matrix inequality) method, a sufficient condition of robust stabilization for uncertain switched linear systems is obtained. The method of hybrid output feedback control is designed to make the closed-loop systems be asymptotically stable on the equilibrium point.