Decentralized control for a class of uncertain switched interconnected large-scale systems

Based on convex combination technique and LMI (linear matrix inequality) method, the problem of decentralized state feedback stabilization for a class of uncertain switched interconnected large-scale systems is considered. The parameter uncertainties are value-bounded. Under the condition that any subsystem of each low-dimensional subsystem can not be stabilized, a sufficient condition of stabilization for switched interconnected large-scale systems is obtained and expressed as the solvability problem of linear matrix inequalities. Decentralized controllers and decentralized switching laws are designed to guarantee closed-loop systems be asymptotically stable.