Guaranteed stabilization of interconnected discrete-time uncertain systems

Abstract Given a class of uncertain, discrete-time interconnected systems in which the nominal part is linearly stabilizable-detectable, and the uncertainties in the system and input matrices are rank-1 bounded, a decentralized observer-based controller structure is designed that will guarantee that the interconnected system is uniformly asymptotically stable. The design procedure involves the solution of two coupled Riccati equations at the subsystem level. The assumptions imposed on the interaction pattern are less restrictive than those considered by other researchers. The developed methodology is illustrated on the problem of digitally controlling a synchronous generator model