Consensus of discrete-time multi-agent systems over packet dropouts channels |
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| Institution: | 1. Nation Key Laboratory of Science and Technology on Vessel Integrated Power System, Naval University of Engineering, Wuhan, 430030, China;2. Department of Automation, University of Science and Technology of China, Hefei, 230027, China;3. Institute of Advanced Technology, State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei, 230027, China;1. Research Center of Semi-tensor Product of Matrices: Theory and Applications, Liaocheng University, Liaocheng, China;2. Key Laboratory of Systems and Control, AMSS, Chinese Academy of Sciences, Beijing, China;3. School of Mathematics, Shandong University, Jinan, China;1. School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China;2. College of Information Science and Technology, Donghua University, Shanghai 201620, China;1. The School of Information Engineering, Guangdong University of Technology, Guangzhou 510006, PR China;2. Rocket Force University of Engineering, Xi’an 710025, PR China;3. Synergy Innovation Institute of GDUT, Heyuan, 517000, PR China;4. PengCheng Laboratory Shenzhen, Shenzhen, 518055, P.R. China;1. College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266061, PR China;2. Faculty of Information Technology, Beijing University of Technology, Beijing 100124, PR China;1. School of Automation, Beijing Institute of Technology, Beijing 100081, China;2. Key Lab of Intelligent Control and Decision of Complex Systems, Beijing 100081, China;3. Beijing Institute of Technology Chongqing Innovation Center, Chongqing 401120, China;1. School of Mathematics, East China University of Science and Technology, Shanghai 200237, China;2. Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai 200237, China |
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| Abstract: | In this paper, we investigate the consensus problem for discrete linear multi-agent systems (MASs) with Markovian packet dropouts. Both identical and nonidentical packet dropouts are studied. For the discrete-time MASs under identical packet dropouts, we present the expectation of the total sojourn time of packet dropouts and successful message transmission, the switching number from packet dropouts to successful message transmission, and the awaken number of packet dropouts and successful message transmission. Based on these expectations, a linear consensus controller is designed through analyzing the transient properties of the Markov process such that the MASs can reach consensus almost surely for any initial distribution of packet dropouts. When it comes to the nonidentical packet dropouts where all the packets are independent and stochastic, a Markovian-lossy-channel based switching model (MLCBS model) is proposed. Based on the MLCBS model, we also propose an easy-to-implement linear consensus controller such that the MASs with nonidentical packet dropouts can achieve consensus almost surely. Finally, the theoretical results are illustrated by simulation examples. |
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