Consensus in networked multi-agent systems via sampled control: fixed topology case

Authors:
Guangming Xie;Huiyang Liu;Long Wang;Yingmin Jia
Affiliations:
Center for Systems and Control, College of Engineering, Peking University, Beijing, P.R. China and School of Electrical & Electronics Engineering, East China Jiaotong University, Nanchang, P.R ...;Center for Systems and Control, College of Engineering, Peking University, Beijing, P.R. China;Center for Systems and Control, College of Engineering, Peking University, Beijing, P.R. China;The Seventh Research Division, Beihang University, Beijing, P.R. China
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

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Consensus in networked multi-agent systems via sampled control: switching topology case

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Abstract

In this paper, consensus problems of continuous-time networked multi-agent systems via sampled control are investigated. The sampled control protocols are induced from continuous-time linear consensus protocol by using periodic sampling technology and zero-order hold circuit. Two cases are considered: 1) networks without sampling delay; 2) networks with sampling delay. For each case, an algebraic-type necessary and sufficient condition is obtained under which consensus is achieved. Some numerical simulations are presented, which are consistent with our theoretical results.