Journal
NONLINEAR DYNAMICS
Volume 99, Issue 3, Pages 2219-2232Publisher
SPRINGER
DOI: 10.1007/s11071-019-05390-y
Keywords
Fractional-order; Multi-agent systems; Event-triggered scheme; Leader-following consensus
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Funding
- National Natural Science Foundation of China [61771004]
- Social Science Planning Fund of Ministry of Education of China [18YJA630035]
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In this paper, an efficient event-triggered control is designed to address the leader-following consensus problem for the fractional-order multi-agent systems. First, in order to reduce the conservation of consensus criteria, a novel Wirtinger-based fractional-order integral inequality is proposed. Second, an adaptive control is designed by using a new event-triggered scheme without Zeno behavior, which can effectively reduce the communication cost in network. Later in order to analyze the consensus of the fraction-order leader-following systems, we employ a new approach based on fractional Lyapunov direct method. Finally, combining Wirtinger-based fractional-order integral inequality, the event-triggered adaptive control as well as the proposed consensus method, the consensus criteria of the leader-following fractional-order multi-agent systems are obtained. Two numerical examples are used to test the effectiveness and feasibility of the results presented in this study.
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