arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1312.7445eess.SYcs.SY
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多参考信号分布式平均跟踪问题及其一般线性动力学

Distributed average tracking for multiple reference signals with general linear dynamics

State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, College of Engineering, Peking University(北京大学工学院力学与工程科学系湍流国家重点实验室)

Yu Zhao, Zhisheng Duan, Zhongkui Li

AI总结:

本文研究了多时变信号在一般线性动力学下的分布式平均跟踪问题,设计了静态和自适应耦合强度的连续算法,实现无振荡的渐近跟踪和误差有界收敛。

摘要:

本文技术说明研究了多时变信号在一般线性动力学下的分布式平均跟踪问题,其参考输入非零且不可用。在分布式方法中,设计了具有静态和自适应耦合强度的连续算法。基于边界层概念,静态耦合强度的算法可渐近跟踪多个参考信号的平均值而不产生振荡现象。此外,对于自适应耦合强度的算法,平均跟踪误差被统一最终有界且指数收敛到可调的有界集。最后,通过仿真示例验证了理论结果的有效性。

英文摘要:

This technical note studies the distributed average tracking problem for multiple time-varying signals with general linear dynamics, whose reference inputs are nonzero and not available to any agent in the network. In distributed fashion, a pair of continuous algorithms with, respectively, static and adaptive coupling strengths are designed. Based on the boundary layer concept, the proposed continuous algorithm with static coupling strengths can asymptotically track the average of the multiple reference signals without chattering phenomenon. Furthermore, for the case of algorithms with adaptive coupling strengths, the average tracking errors are uniformly ultimately bounded and exponentially converge to a small adjustable bounded set. Finally, a simulation example is presented to show the validity of the theoretical results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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