Robust Stabilization of Fault Tolerant Decentralized Linear Systems

Abstract In this paper, the continuous time linear systems with abrupt changes of parameters modelled by discrete-state Markov processes are considered. Under the assumption of the existence of a suitable control law, the necessary and sufficient conditions for the stochastic stabilizability of the nominal model of this class of systems using JLQ controllers is given. Moreover assuming that the parameters of the real system may differ from their nominal values and the existance of external disturbances sufficient conditions of the robustness for the real systems are presented. Two different control structures are proposed: centralized and decentalized. The comparision of the results is discussed.