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**Reliable control for networked control systems with probabilistic actuator fault and random delays.**
*(English)*
Zbl 1206.93108

Summary: The reliable control design is considered for Networked Control Systems (NCSs) against probabilistic actuator fault with different failure rates, measurements distortion, random network-induced delay and packet dropout. A new distribution-based fault model is proposed, which also contains the probability distribution information of the random delay and packet dropout. By using Lyapunov functional and new technique in dealing with time delay, stability and stabilization criteria are derived in terms of linear matrix inequalities. The provided numerical example and Vertical Takeoff and Landing (VTOL) aircraft system illustrate that: firstly, using the distribution information of the delay, the Maximum Effective Delay Bound (MEDB) can be greatly improved, secondly, the proposed reliable controller can stabilize the NCSs with probabilistic actuator fault and measurements distortion, which may be unstable under the controller designed without considering the unreliable cases.

### MSC:

93E03 | Stochastic systems in control theory (general) |

93C15 | Control/observation systems governed by ordinary differential equations |

93D30 | Lyapunov and storage functions |

93E15 | Stochastic stability in control theory |

93A30 | Mathematical modelling of systems (MSC2010) |

### Keywords:

reliable control design; Networked Control Systems (NCSs); probabilistic actuator fault; distribution-based fault model
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\textit{E. Tian} et al., J. Franklin Inst. 347, No. 10, 1907--1926 (2010; Zbl 1206.93108)

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