Decentralized stabilization of uncertain large scale interconnected time-varying systems

The problem of decentralized stabilisation of large scale linear time-varying systems with uncertainties and external disturbances in the interconnections is considered. The upper bounds of the uncertainties and external disturbances are assumed to be unknown. Adaptation laws are proposed to estimate such unknown bounds, and by making use of the updated values of these unknown bounds, a class of decentralized state feedback controllers is constructed. It is shown that by employing the proposed adaptive robust decentralized state feedback controllers, the solutions of the resulting adaptive closed-loop large scale system can be guaranteed to be uniformly bounded, and the states are uniformly asymptotically stable.