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Consensus protocol design for discrete‐time networks of multiagent with time‐varying delay via logarithmic quantizer
Authors:Myeong Jin Park  Oh Min Kwon  Seong Gon Choi  Eun Jong Cha
Institution:1. School of Electrical Engineering, Chungbuk National University, Cheongju, Republic of Korea;2. School of Information and Communication Engineering, Chungbuk National University, Cheongju, Republic of Korea;3. Department of Biomedical Engineering, School of Medicine, Chungbuk National University, Cheongju, Republic of Korea
Abstract:This article considers the problem of consensus for discrete‐time networks of multiagent with time‐varying delays and quantization. It is assumed that the logarithmic quantizer is utilized between the information flow through the sensor of each agent, and its quantization error is included in the proposed method. By constructing a suitable Lyapunov‐Krasovskii functional and utilizing matrix theory, a new consensus criterion for the concerned systems is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Based on the consensus criterion, a designing method of consensus protocol is introduced. One numerical example is given to illustrate the effectiveness of the proposed method. © 2014 Wiley Periodicals, Inc. Complexity 21: 163–176, 2015
Keywords:Consensus  discrete‐time multiagent systems  logarithmic quantization  time‐delay  Lyapunov method  LMI
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