Leader-follower consensus of time-varying nonlinear multi-agent systems

Leader-follower consensus of time-varying nonlinear multi-agent systems
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时变非线性多智能体系统的主从共识

DOI:
10.1016/j.automatica.2014.10.127
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发表时间:
2015-02
期刊:
影响因子:
6.4
通讯作者:
Feng Gang
Feng Gang
中科院分区:
计算机科学2区
文献类型:
--
作者:
Zhang Xianfu;Liu Lu;Feng Gang

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针对一类齐次时变非线性多智能体系统,提出了一种分布式一致性协议。假设智能体动力学具有严格的反馈形式,并且满足具有时变增益的Lipschitz条件。首先证明了领导者-跟随者共识问题等价于增广高维多变量系统的常规镇定控制问题。通过引入适当的状态变换,将镇定控制问题转化为适当的时变参数设计问题,这对处理系统中的时变非线性项起到了关键作用。证明了该一致性协议可以实现多智能体系统的指数一致性。最后给出了一个仿真实例,验证了该协议的有效性。
A distributed consensus protocol is developed for a class of homogeneous time-varying nonlinear multi-agent systems in this paper. The agents dynamics are supposed to be in the strict feedback form and satisfy Lipschitz conditions with time-varying gains. It is firstly shown that the leader–follower consensus problem is equivalent to a conventional stabilization control problem of augmented high-dimensional multi-variable systems. By introducing an appropriate state transformation, the stabilization control problem is then converted into a design problem of an appropriate time-varying parameter, which plays a key role to cope with the time-varying nonlinear terms in the concerned systems. It is proved that the exponential consensus of the multi-agent system can be achieved with the proposed consensus protocol. A simulation example is given to illustrate the effectiveness of the proposed consensus protocol.
一类时变非线性系统的状态反馈控制有限时间镇定
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