Dynamic event-triggered H∞ synchronization control for 2-D switched complex networks with actuator faults

This paper addresses the global exponential synchronization problem with H∞ performance for two-dimensional switched complex networks subject to actuator faults and external disturbances, where the network dynamics are described by the Fornasini-Marchesini second model. In networked control systems, two core challenges restrict operational efficiency: limited communication resource constraints and performance degradation caused by actuator faults. To tackle these issues, a mode-dependent event-triggered control strategy is proposed to reduce redundant data transmission and enhance system fault tolerance. Existing studies in this field either ignore actuator faults or adopt fixed periodic triggering mechanisms, both of which lack adaptability to dynamic system state changes. To overcome this limitation, this study integrates three key techniques: event-triggered strategy, robust H∞ control, and switched system theory. By constructing a novel mode-dependent Lyapunov function, utilizing mode-dependent average dwell time theory, and introducing the Kronecker product, sufficient conditions for synchronization are derived in the form of linear matrix inequalities. These conditions guarantee global exponential synchronization, satisfy the prescribed H∞ performance, and enable co-design of control gains and event-triggered parameters. Finally, a numerical simulation is conducted to verify the effectiveness of the proposed approach.