Event-Triggered Consensus Control for a Class of Discrete-time Stochastic Multi-agent Systems

This paper is concerned with the event-triggered consensus control problem for a class of discrete-time stochastic multi-agent systems. The purpose of the problem under consideration is to design both the output feedback controller and the threshold of the triggering condition such that the closed-loop system achieves the desired consensus in probability. By employing a discrete-time version of the input-to-state stability in probability (ISSiP), some sufficient conditions on event-triggered control protocol are derived under which the consensus in probability is reached. Then, both the controller parameter and the triggering threshold are obtained in terms of the solution to certain matrix inequalities. Finally, a simulation example is utilized to illustrate the usefulness of the proposed control protocol.