Robust H Infinity Control for Discrete-Time Switched Linear Systems Subject to Exponential Uncertainty

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