Discrete-time fault tolerant control for semi-Markov jump systems with finite sojourn-time. (English) Zbl 1429.93218
Summary: This paper presents an active fault tolerant control scheme for discrete-time semi-Markov jump systems. The semi-Markov kernel approach and the finite sojourn time restriction are employed to obtain finite stability sufficient conditions for stability and stabilization. Semi-Markov processes are applied to model the faults occurrence of the actuators and the fault detection process. To guarantee the stability of the resulting closed loop system, an elapsed-time-dependent controller design method is applied. Finally, a numerical example and a vertical take-off and landing vehicle (VTOL) example are shown to illustrate the effectiveness and potential of the proposed design technique.
MSC:
| 93C55 | Discrete-time control/observation systems |
| 93B35 | Sensitivity (robustness) |
| 93E15 | Stochastic stability in control theory |
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