Decentralized stabilization of large-scale systems with structured uncertainties

Abstract

The decentralized stabilization problem of large-scale systems with structured time-varying uncertainties is considered. A new sufficient condition is established for asymptotically stabilizing the large-scale perturbed systems using decentralized state feedback controllers. We also consider the use of optimal Perron weightings to reduce conservatism and the extension of the results to discrete-time large-scale systems with structured uncertainties. An illustrative example is given to demonstrate that the new sufficient condition is less conservative than the one reported recently. Another example is also given to illustrate the use of the sufficient condition for stability robustness of discrete-time large-scale systems.