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Synchronization of General Linear Multi‐Agent Systems With Measurement Noises
Authors:Wenhui Liu  Chunjie Yang  Feiqi Deng  Jiarong Liang
Affiliation:1. College of Control Science and Engineering, Zhejiang University, Hangzhou, China;2. College of Automation Science and Engineering, South China University of Technology, Guangzhou, China;3. School of Computer, Electronics and Information, Guangxi University, Nanning, China
Abstract:This paper studies the synchronization of general linear multi‐agent systems with measurement noises in mean square. It shows that the conventional consensus protocol is efficient and robust to the additive and multiplicative measurement noises in mean square. For the additive measurement noises which are independent of the relative‐states, it shows that the multi‐agent systems can achieve synchronization in practical mean square. For the multiplicative measurement noises which are dependent of the relative‐states, it shows that the multi‐agent systems can achieve synchronization in (strict) mean square. Furthermore, the new consensus protocol is better than the conventional one at some specific situations, i.e., the multi‐agent systems with additive measurement noises can also achieve synchronization in (strict) mean square. Numerical simulations are also provided and the results show highly consistent with the theoretical results.
Keywords:Multi‐agent systems  distributed control  consensus  synchronization  measurement noises
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