Observers design for a class of switched interconnected large-scale nonlinear systems

Based on convex combination technique and LMI (linear matrix inequality) method, the problem of state observers design for a class of switched interconnected large-scale nonlinear systems is studied. Interconnected terms are composed of linear part and nonlinear part. By using single Lyapunov function technique, a sufficient condition of stabilization for error systems is obtained and expressed as the solvability problem of linear matrix inequality. By using practicable algorithm, decentralized switching laws are designed to guarantee error systems be asymptotically stable. The simulation results show the feasibility and validity of the designed methods.