Intelligent Robust Control of Fault Tolerant Linear Systems

Abstract One way to model linear systems with fault-prone tolerant structure is to use theory of piecewise deterministic processes. In this paper, we consider the continuous time linear systems with abrupt changes of parameters modelled by discrete-state Markov processes. Under the assumption of the existence of a suitable control law, we give the necessary and sufficient conditions for the stochastic stabilizability of the nominal model of this class of systems using intelligent controllers. Moreover assuming that the parameters of the real system may differ from their nominal values we present sufficient conditions of the robustness for the real systems.