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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)
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