Robust Control for a Class of Uncertain Switched Systems

In this paper, we address the problem of switched state feedback stabilization of switched linear systems with exponential uncertainties. By using Taylor series approximation and convex polytope technique, exponentially uncertain switched system is transformed into an equivalent polytopic model with an additive norm bounded uncertainty. For such equivalent switched model, we design its switching strategy and associated state feedback controllers so that such switched model is asymptotical stabilization based on switched Lyapunov function technology and LMI approach.