Stochastic Distributed Pinning Control for Co-Multi-Inverter Networks With a Virtual Leader

This brief develops a stochastic distributed pinning control scheme for the voltage regulation of co-multi-inverter (CMI) networks subject to additive noise and symmetric time-delay disturbances. In actual CMI networks, the information exchange among multiple and cooperative inverters may be disturbed by communication noises and affected by communication time delays. Towards that end, the proposed distributed pinning control scheme can synchronize the terminal voltages of inverters to their reference value by a virtual leader through sparse communication networks considering time delays and noise disturbances in mean square convergence. By means of the stochastic analysis tools and algebraic graph theory, distributed pinning protocols are developed to be employed for CMIs, in which manner the criteria for the delay boundedness considering noise disturbances to maintain the system stability are derived. Simulation results on a CMI system are provided to show the effectiveness of the proposed control protocols.