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Design of stochastic fault tolerant control for \(H_{2}\) performance. (English) Zbl 1132.93043

Summary: The controller synthesis problem for fault tolerant control systems (FTCS) with stochastic stability and \(H_{2}\) performance is studied. System faults of random nature are modelled by a Markov chain. Because the real system fault modes are not directly accessible in the context of FTCS, the controller is reconfigured based on the output of a fault detection and identification (FDI) process, which is modelled by another Markov chain. Then state feedback and output feedback control are developed to achieve the mean square stability (MSS) and the \(H_{2}\) performance for both continuous-time and discrete-time systems with model uncertainties.

MSC:

93E10 Estimation and detection in stochastic control theory
93E15 Stochastic stability in control theory
93B50 Synthesis problems
60J27 Continuous-time Markov processes on discrete state spaces
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