DECENTRALIZED ROBUST-CONTROL FOR A CLASS OF UNCERTAIN LARGE-SCALE INTERCONNECTED NONLINEAR DYNAMICAL-SYSTEMS

The problem of the decentralized robust control for a class of large-s cale interconnected nonlinear dynamical systems with input interconnec tion and external interconnection perturbations is considered. Based o n the stabilizability of each nominal isolated subsystem (i.e., the is olated subsystem in the absence of interconnection perturbations), a c lass of decentralized local state feedback controllers is proposed, an d some sufficient conditions are derived by making use of the Lyapunov stability criterion such that uncertain large-scale interconnected sy stems can be stabilized asymptotically by these decentralized state fe edback controllers. For large-scale systems with only input interconne ction perturbations, such decentralized controllers become a class of decentralized stabilizing state feedback controllers. That is, the dec entralized stability of such large-scale systems can be guaranteed alw ays by using the decentralized state feedback controllers proposed in the paper. Finally, a numerical example is given to demonstrate the va lidity of the results.