Target-encirclement control of fractional-order multi-agent systems with a leader

This paper addresses the target-encirclement control problem of fractional-order multi-agent systems(FOMASs) with a leader, where the state information of the target can only be obtained by the leader while followers cannot. First, a new target-encirclement control protocol is proposed, where the state estimators of the leader and the target are induced. Next, some sufficient conditions based on the theory of Mittag-Leffler stability are given for achieving target-encirclement control of FOMASs with a leader. Finally, simulation results are provided to demonstrate the effectiveness of the presented results.