Robust stabilization for a class of uncertain switched linear systems

Robust stabilization for a class of uncertain switched linear systems whose nominal systems have a common Lyapunov function was considered. With the certain restriction of uncertainty, a kind of robust controller of state feedback was constructed by using the completeness condition and common Lyapunov function technique. The closed-loop system still has a common Lyapunov function. The designed controller can guarantee the states of the closed-loop system asymptotically stable at the equilibrium point under an arbitrary switching strategy. Simulation result shows the validity of the designed controller.