A Cluster Tracking Control Method Based on Consensus of Switched Stochastic Multi-agent Systems

A cluster tracking control method is proposed based on the consensus of switched stochastic multi-agent systems. Firstly, the cluster tracking issue could be transformed to a stochastic multi-agent system. Then, by using the algebraic graph theory and the stochastic stability theory, the consensus stability problem of stochastic multi-agent systems is studied through the equivalent error states system. The error states system is analyzed by the stochastic stability theory, and the consensus stability condition is proposed to achieve in the cluster tracking control. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.