Performability Analysis Using Semi-Markov Reward Processes
IEEE Transactions on Computers
Probabilistic robustness analysis: explicit bounds for the minimum number of samples
Systems & Control Letters
Active Fault Tolerant Control Systems: Stochastic Analysis and Synthesis
Active Fault Tolerant Control Systems: Stochastic Analysis and Synthesis
Introduction to Probability Models, Ninth Edition
Introduction to Probability Models, Ninth Edition
Coverage in fault-tolerant control
Automatica (Journal of IFAC)
Reliability monitoring of fault tolerant control systems with demonstration on an aircraft model
Journal of Control Science and Engineering - Robustness Issues in Fault Diagnosis and Fault Tolerant Control
Reconfigurability Analysis for Reliable Fault-Tolerant Control Design
International Journal of Applied Mathematics and Computer Science - Issues in Advanced Control and Diagnosis
Active Fault Tolerant Control of Nonlinear Systems: The Cart-Pole Example
International Journal of Applied Mathematics and Computer Science - Issues in Advanced Control and Diagnosis
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This paper proposes a novel approach to reliability evaluation for active Fault Tolerant Control Systems (FTCSs). By introducing a reliability index based on the control performance and hard deadline, a semi-Markov process model is proposed to describe system operation for reliability evaluation. The degraded performance of FTCSs in the presence of imperfect Fault Detection and Isolation (FDI) is reflected by semi-Markov states. The semi-Markov kernel, the key parameter of the process, is determined by four probabilistic parameters based on the Markovian model of FTCSs. Computed from the transition probabilities of the semi-Markov process, the reliability index incorporates control objectives, hard deadline, and the effects of imperfect FDI, a suitable quantitative measure of the overall performance.