• •    

具有时变参考输入的多自主体系统的平均一致性跟踪

张雨1,刘成林2   

  1. 1. 江南大学
    2. (轻工过程先进控制教育部重点实验室,江南大学自动化研究所,江苏无锡
  • 收稿日期:2021-02-01 修回日期:2021-05-20 发布日期:2021-05-20
  • 通讯作者: 刘成林

Average consensus tracking of time-varying reference inputs for multi-agent systems

  • Received:2021-02-01 Revised:2021-05-20 Online:2021-05-20

摘要: 针对具有时变参考输入的多自主体系统的动态平均一致性跟踪问题,提出了一种比例—积分一致性跟踪算法。针对在多自主体间通信数据进行量化的场景下,研究了基于量化的平均一致性跟踪问题。在积分算法的基础上引入一个比例环节,使得自主体在控制协议的约束下,通过和邻近自主体间相互交流来更好的跟踪参考输入的平均值。在固定强连通平衡拓扑结构下,利用矩阵分析和Routh判据分别得出自主体间信息传输数据未量化和量化时渐近跟踪到参考输入平均值的充分条件。最后,数值仿真证明了结果的准确性,也证实了该算法的有效性

关键词: 时变参考输入, 多自主体系统, 比例—积分算法, 量化, 强连通平衡拓扑

Abstract: The dynamic average-consensus tracking problem of multi-agent systems with time-varying reference inputs was investigated, and proposed a proportional-integral consensus tracking algorithm. In the context of communication data between multi-agents was quantized, the average consensus tracking problem based on quantization was studied. On the basis of the integral algorithm, a proportional link was introduced to make agents track the average value of the reference inputs better by communicating with neighborhood agents under the constraints of the control agreement. Under the fixed, balanced and strongly connected topology, sufficient conditions are obtained based on the matrix analysis and Routh Criteria for the multi-agent system converging to the average value of time-varying reference inputs without and with quantized information transmission data respectively. Finally, numerical simulations verified the accuracy of the results and confirm the effectiveness of the algorithm.

Key words: time-varying reference inputs, multi-agent systems, proportional-integral algorithm, quantization, strongly connected and balanced topology

中图分类号: