马尔可夫链
网络拓扑
多智能体系统
共识
控制理论(社会学)
拓扑(电路)
数学
李雅普诺夫函数
容错
国家(计算机科学)
理论(学习稳定性)
数学优化
计算机科学
分布式计算
算法
统计
物理
控制(管理)
组合数学
非线性系统
人工智能
量子力学
机器学习
操作系统
作者
Kun-Zhong Miao,Jianning Li,Yang-Jie Chen,Sen Xu
标识
DOI:10.1080/00207179.2022.2146605
摘要
This paper investigates the finite-time leader-following consensus problem for multi-agent systems with switching topologies. First of all, consider the characteristic of failures, a failure distribution model which is more in line with the actual situation is established, and a semi-Markov chain is used to describe the topology switching of the multi-agent system, in which the transfer rate is time-varying. Secondly, based on the past state information, a topology-dependent consensus protocol is established, then the fault-tolerant consensus problem of leader-following multi-agent is transformed into the issue of system stability, according to the mode-dependent Lyapunov function and the finite time stochastic theorem, the sufficient conditions for the stability of the closed-loop system and the constraints of average residence time are obtained. In addition, an initial-state based H∞ performance index is proposed to reduce the influence of zero initial conditions on the system. Finally, a numerical example is provided to show the effectiveness of the proposed method.
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