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Chin. Phys. B, 2013, Vol. 22(12): 128901    DOI: 10.1088/1674-1056/22/12/128901
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Stochastic bounded consensus tracking of leader-follower multi-agent systems with measurement noises based on sampled data with general sampling delay

Wu Zhi-Hai (吴治海)a, Peng Li (彭力)a b, Xie Lin-Bo (谢林柏)a, Wen Ji-Wei (闻继伟)a
a Key Laboratory for Advanced Process Control of Light Industry of the Ministry of Education, School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China;
b State Key Laboratory for Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology (HUST), Wuhan 430074, China
Abstract  In this paper we provide a unified framework for consensus tracking of leader-follower multi-agent systems with measurement noises based on sampled data with a general sampling delay. First, a stochastic bounded consensus tracking protocol based on sampled data with a general sampling delay is presented by employing the delay decomposition technique. Then, necessary and sufficient conditions are derived for guaranteeing leader-follower multi-agent systems with measurement noises and a time-varying reference state to achieve mean square bounded consensus tracking. The obtained results cover no sampling delay, a small sampling delay and a large sampling delay as three special cases. Last, simulations are provided to demonstrate the effectiveness of the theoretical results.
Keywords:  leader-follower multi-agent systems      stochastic bounded consensus tracking      measurement noises      general sampling delay  
Received:  28 July 2013      Revised:  04 September 2013      Accepted manuscript online: 
PACS:  89.75.-k (Complex systems)  
  05.65.+b (Self-organized systems)  
  02.30.Yy (Control theory)  
  05.40.Ca (Noise)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61203147, 60973095, 60804013, and 61104092), the Fundamental Research Funds for the Central Universities, China (Grant Nos. JUSRP111A44, JUSRP21011, and JUSRP11233), the Foundation of State Key Laboratory of Digital Manufacturing Equipment and Technology, HUST, China (Grant No. DMETKF2010008), and the Humanities and Social Sciences Youth Funds of the Ministry of Education, China (Grant No. 12YJCZH218).
Corresponding Authors:  Wu Zhi-Hai     E-mail:  wuzhihai@jiangnan.edu.cn

Cite this article: 

Wu Zhi-Hai (吴治海), Peng Li (彭力), Xie Lin-Bo (谢林柏), Wen Ji-Wei (闻继伟) Stochastic bounded consensus tracking of leader-follower multi-agent systems with measurement noises based on sampled data with general sampling delay 2013 Chin. Phys. B 22 128901

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[1] Stochastic bounded consensus tracking of leader-follower multi-agent systems with measurement noises and sampled-data
Wu Zhi-Hai (吴治海), Peng Li (彭力), Xie Lin-Bo (谢林柏), Wen Ji-Wei (闻继伟). Chin. Phys. B, 2012, 21(12): 128902.
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