Multiasynchronous Extended Dissipative Sliding Mode Control of <i>LC</i> Circuits in Grid-Connected System Under Actuator Attacks

This article investigates the event-triggered multiasynchronous dissipative sliding mode control problem for the gird-connected systems, where the coupled Inductance-Capacitance (LC) oscillators in electrical networks are subject to actuator attacks and external disturbances. To reduce the communication burden, the dynamic event-triggered mechanisms (DETMs) are introduced along with the switching mechanism for multiple topologies. Specifically, the topology switching process is further viewed as a general uncertain semi-Markov (GUSM) jumping process. This jumping process along with the DETM is thus represented by hidden Markov model (HMM). Then the distributed integral-type sliding mode controller is constructed on the top of the HMM. Sufficient conditions for the desired performance of the closed-loop synchronization error system are derived by constructing the mode-dependent Lyapunov-Krasovskii functional (LKF) with extended dissipativity analysis. The numerical simulation of LC oscillators in the single-phase photovoltagic grid interconnection process is conducted to validate the proposed method.