基于马尔科夫拓扑切换和随机通信干扰的连续时间多自主体系统的趋同控制  

DISTRIBUTED CONSENSUS OF CONTINUOUS-TIME MULTI-AGENT SYSTEMS WITH MARKOVIAN SWITCHING TOPOLOGIES AND STOCHASTIC COMMUNICATION NOISES

作　　者：张强[1] 张纪峰[1] 

机构地区：[1]中国科学院数学与系统科学研究院系统科学所系统控制重点实验室,北京100190

出　　处：《系统科学与数学》2011年第9期1097-1110,共14页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金项目(60934006;60821091)

摘　　要：研究了基于不可靠通信网络的连续时间多自主体系统的趋同控制.自主体间的通信信道受高斯噪声干扰;不可靠通信因素导致的网络拓扑随机切换由马氏链刻画.为克服随机噪声和马尔科夫拓扑切换的影响,设计了随机逼近型趋同协议;基于马氏跳参数随机微分方程稳定性理论、代数图理论、连续鞅和马氏链理论,证明了多自主体系统实现渐近无偏均方平均趋同和以概率1平均趋同,分析了各个体所用增益函数的不同对趋同性的影响.Distributed consensus of continuous-time multi-agent systems（MASs） in uncertain communication environments is investigated.The communication channel between each pair of adjacent agents is subjected to Guassian disturbances.The random switches between different communication topologies are described by Markov processes.We design a distributed consensus protocol to attenuate the communication noises and Markov topology switches.Under mild conditions,both the asymptotic unbiased mean square average-consensus and asymptotic unbiased almost sure average-consensus are established by use of Markovian switching stochastic differential equation theory,algebriac graph theory,continuous martingale theory and Markov chain theory.The effect of agent-dependent gain functions on the consensus of MASs is also analyzed.

关 键 词：多自主体系统 趋同控制 随机通信噪声 马氏链 

分 类 号：O211.62[理学—概率论与数理统计] O231[理学—数学]