Observer-Based Distributed Mean-Square Consensus Design for Leader-Following Multiagent Markov Jump Systems

This paper addresses the mean-square leader-follower consensus problem for the multiagent Markov jump linear systems. The leader has the general linear dynamics while the followers are subject to parameter changes modeled by Markov jump. By using the output measurement of the leader, two types of observers, namely, the common observer and the distributed adaptive observer, are first constructed together to estimate the leader state. Then based on the estimated state and the follower self information, two kinds of controllers, namely, the synchronous controller and the asynchronous controller, are designed to achieve the mean-square leader-follower consensus. Finally, the simulation results are given to illustrate the feasibility and effectiveness of the proposed approaches.