Fixed-time consensus for stochastic multi-agent systems with discontinuous dynamics via quantized control |
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| Institution: | 1. Department of Electrical and Computer Engineering, University of Kashan, Iran;2. Electrical and Electronic Engineering Department, Shahed University, Tehran, Iran;1. School of Chemical and Environmental Engineering, Liaoning University of Technology, Jinzhou, Liaoning, 121001, China;2. College of Science, Liaoning University of Technology, Jinzhou, Liaoning, 121001, China;1. School of Science, Shenyang Jianzhu University, Shenyang, 110168, China;2. School of Mechanical Engineering, Shenyang Jianzhu University, Shenyang, 110168, China;3. Systems Engineering Institute, South China University of Technology, Guangzhou, 510640, China;1. Collegee of Science, Hebei North University, Zhangjiakou, 075000, PR China;2. School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, 221116, PR China;1. Univ. Grenoble Alpes, CNRS, Grenoble INP*, GIPSA-lab, Grenoble 38000, France;2. Institut National des Sciences Appliquées de Lyon, Ampère lab, Lyon F-59000, France;3. University of Orlans, INSA Centre Val de Loire (CVL), PRISME, EA, 4229, Orléans, France |
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| Abstract: | In this study, the fixed-time consensus (FDTC) for stochastic multi-agent systems (MASs) with discontinuous inherent dynamics is investigated via quantized control. Firstly, an improved lemma for fixed-time (FDT) stability is derived and several more precise estimations for settling time (SLT) are gained by using certain special functions. Secondly, a more general MAS containing discontinuous inherent dynamics and stochastic perturbations is considered, which is closer to practical life. Thirdly, to overcome the limitation of communication, two kinds of quantized control protocols are designed. Besides, in the light of the graph theory, non-smooth analysis, fixed-time (FDT) stability and stochastic analysis theory, some sufficient conditions are put forward to achieve FDTC of MASs. Finally, the validity of the derived theoretical results is testified by two numerical examples. |
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