Fault-tolerant synchronization control for time-varying delay complex networks based on aperiodic intermittent event triggering

Abstract

An aperiodic intermittent event-triggered fault-tolerant control strategy is proposed for a class of complex networks with actuator faults and time-varying delay. The aperiodic intermittent control (APIC) and an event-triggered mechanism (ETM) are used to save control costs and the limited bandwidth of the network. To improve the flexibility of the APIC design, the concept of the minimum control ratio (MCR) is introduced. A new synchronization error model is developed by considering actuator faults, the ETM, and the APIC. By utilizing the Lyapunov stability theory and the Wirtinger integral inequality, etc., the interval-dependent Lyapunov-Krasovskii functionals are established, and a less conservative synchronization criterion for CNs is obtained. In addition, the co-design of controller gains and event-triggered weighting matrices is obtained from solving Linear Matrix Inequalities (LMIs). Finally, a numerical example is provided to demonstrate the effectiveness of the proposed strategy.