Distributed average tracking for multiple signals generated by linear dynamical systems: An edge-based framework

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• 作者：Yu Zhao^a ; ^{yuzhao5977@gmail.com}Author Vitae ; Yongfang Liu^a ; ^{liuyongfangpku@gmail.com}Author Vitae ; Zhongkui Li^b ; ^{zhongkli@pku.edu.cn}Author Vitae ; Zhisheng Duan^b ; ^{duanzs@pku.edu.cn}Author Vitae
• 关键词：Distributed control ; Average tracking ; Linear dynamics ; Continuous algorithm
• 刊名：Automatica
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：75
• 期：Complete
• 页码：158-166
• 全文大小：888 K
• 卷排序：75

文摘

This paper studies the distributed average tracking problem for multiple time-varying signals generated by linear dynamics, whose reference inputs are nonzero and not available to any agent in the network. In the edge-based framework, a pair of continuous algorithms with, respectively, static and adaptive coupling strengths is designed. Based on the boundary layer concept, the proposed continuous algorithm with static coupling strengths can asymptotically track the average of multiple reference signals without the chattering phenomenon. Furthermore, for the case of algorithms with adaptive coupling strengths, 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 theoretical results.