具有执行器饱和和半马尔可夫开关拓扑的多代理系统的领导者-跟随共识。

IF 2.6 4区 工程技术 Q1 Mathematics Mathematical Biosciences and Engineering Pub Date : 2024-03-01 DOI:10.3934/mbe.2024217
Jiangtao Dai, Ge Guo
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引用次数: 0

摘要

本文研究了半马尔可夫切换拓扑(SMST)下受执行器饱和影响的多代理系统(MAS)的领导-跟随共识(LFC)问题。通过使用半马尔可夫过程来模拟网络拓扑的切换,提出了一种新的共识协议。与传统的马尔可夫开关拓扑相比,半马尔可夫开关拓扑更具通用性和实用性,因为其转换率是时变的。通过使用局部扇区条件和合适的 Lyapunov-Krasovskii 函数,提出了一些充分条件,从而在局部实现了领导者跟随均方共识。根据推导出的充分条件,分析了一个优化问题,以确定共识反馈增益,并找到闭环模型共识吸引域(DOCA)的最大估计值。最后,介绍了一个数值案例,以验证设计方法的性能。
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A leader-following consensus of multi-agent systems with actuator saturation and semi-Markov switching topologies.

The leader-following consensus (LFC) issue is investigated in this paper for multi-agent systems (MASs) subject to actuator saturation with semi-Markov switching topologies (SMST). A new consensus protocol is proposed by using a semi-Markov process to model the switching of network topologies. Compared to the traditional Markov switching topologies, the SMST is more general and practical because the transition rates are time-varying. By using the local sector conditions and a suitable Lyapunov-Krasovskii functional, some sufficient conditions are proposed such that the leaderfollowing mean-square consensus is locally achieved. Based on the derived sufficient conditions, an optimization problem is analyzed to determine the consensus feedback gains and to find a maximal estimate of the domain of consensus attraction (DOCA) of a closed-loop model. At the end, a numerical case is presented to verify the performance of the design method.

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来源期刊
Mathematical Biosciences and Engineering
Mathematical Biosciences and Engineering 工程技术-数学跨学科应用
CiteScore
3.90
自引率
7.70%
发文量
586
审稿时长
>12 weeks
期刊介绍: Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).
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