A Dynamic Event-Triggered Mean-Square Consensus Control for Discrete-Time Stochastic Multi-Agent System With System Uncertainties

In this paper, the mean-square consistency control problem of a class of discrete time-varying multi-agent systems with system parameter uncertainty and a dynamic event-triggering mechanism is studied. Using a dynamic event-based mechanism, each agent only updates the control input signal when it violates the pre-set triggering conditions. A mean-square consistent performance index is used to reflect the transient consistent behavior of the deviation degree between each agent and the mean of the average state of the whole system. For a fixed network communication topology, the purpose is to design a time-varying feedback controller so that each agent’s mean square consistency index in each time step can satisfy the given upper bound constraint under the disturbance of external disturbances in the closed-loop network multi-agent system. Then, the feedback gain is obtained by solving the solution of recursive linear matrix inequality. Finally, a simulation example is given to illustrate the authenticity and effectiveness of the proposed algorithm.