Output consensus for multiple non-holonomic systems under directed communication topology

Output consensus for multiple non-holonomic systems under directed communication topology
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定向通信拓扑下多个非完整系统的输出一致性

DOI:
10.1080/00207721.2013.784821
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发表时间:
2015-02
影响因子:
4.3
通讯作者:
Chen, Yangquan
Chen, Yangquan
中科院分区:
计算机科学4区
文献类型:
--
作者:
Xu, Yaojin;Tian, Yu-Ping;Chen, Yangquan

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本文研究了链式多个非完整系统的输出一致性问题。首先,采用时变控制策略和回溯设计技术,分两步设计了强连接通信拓扑下的输出一致性控制器;然后,通过图分解将结果推广到一般有向拓扑情况,其中输入状态稳定性理论起着关键作用。我们证明了所提出的控制器可以在多个非完整系统之间实现半全局输出一致性,只要交互图包含生成树。最后,通过数值算例验证了所设计控制器的有效性。
In this paper, the problem of output consensus for multiple non-holonomic systems in chained form has been investigated. First, an output consensus controller under the strongly connected communication topology is devised by two steps, where a time-varying control strategy and the backstepping design technique are employed. Then, the results are extended to the general directed topology case via graph decomposition, in which the input-to-state stability theory plays a critical role. We prove that the proposed controller can achieve the semi-global output consensus among multiple non-holonomic systems, provided that the interaction graph contains a spanning tree. Finally, numerical examples are provided to illustrate the effectiveness of the designed controller.
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