Adaptive fault-tolerant control on complex networks with semi-Markov jump topology under random packet loss

In this paper, semi-Markov process and adaptive fault-tolerant law are used to study the synchronization of complex networks in the presence of topology mutations and actuator failures. Firstly, the semi-Markov jump process, which is more practical than the traditional Markov jump process, is used to simulate the topology change of complex networks. Secondly, by designing adaptive fault-tolerant controller, the influence of actuator fault and interference on the system is eliminated. Then, considering the random packet loss caused by network channel congestion and limited bandwidth resources, a control strategy is developed to achieve convergence of the synchronisation error system. Finally, a numerical example and a practical example of Chua's circuit are given to verify the validity of the proposed theory.