Abstract
The leader-following consensus of fractional-order nonlinear multi-agent systems is studied in this paper. An adaptive event-triggered control protocol is proposed to achieve the leader-following consensus scheme. By applying Lyapunov stability theory of fractional-order systems and some effective inequality techniques, some sufficient conditions for ensuring the consensus are derived intensively, and the proposed control method can reduce the communication between the agents greatly. Moreover, the Zeno behavior of event-triggered algorithm for multi-agent systems is excluded. Finally, a simulation example is presented to validate the effectiveness of the proposed consensus protocol.
Highlights
Over the last decades, the coordination problem of multiagent systems (MASs) has become one of the research hotspots in the automation field and drawn much attention to researchers owing to the extensive applications in such wide fields as robotic group, unmanned aerial vehicles formation flight and so on [1,2,3]
As far as the authors know, this is the first time to explore the combination of adaptive control and event-triggered method for achieving the coordination of fractional-order multi-agent systems (FOMASs) with nonlinear dynamics
The main contributions of this paper are summed up as follows: (1) For the fractional-order nonlinear dynamics, the proposed adaptive event-triggered protocol can achieve the consensus of leader-following FOMASs effectively
Summary
The coordination problem of multiagent systems (MASs) has become one of the research hotspots in the automation field and drawn much attention to researchers owing to the extensive applications in such wide fields as robotic group, unmanned aerial vehicles formation flight and so on [1,2,3]. INDEX TERMS Leader-following consensus, Multi-agent systems, Adaptive control, Event-triggered control The event trigger-based adaptive control method is proposed to solve consensus problems of linear MASs in [33].
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