间歇控制下带噪声的二阶多智能体系统的一致性问题

发布时间：2018-10-05 17:00

【摘要】：本文研究了间歇控制下二阶多智能体系统的一致性问题。第三章中我们研究了带有通讯噪声的二阶多智能体系统在间歇控制下的均方一致性问题,在强交互拓扑下,为实现间歇控制下的一致性收敛,我们提出了基于周期性通信下带干扰的分布式协议,利用代数图论和Lyapunov方法,给出了噪声强度所在矩阵范数的上界和周期内通信时长的下界。第四章中,我们研究一类耦合系统模型,非线性函数中含有滞后项,并且通讯过程中有噪声,在平衡强连通拓扑下,给出系统均方平均一致的充分条件。在第五章,我们针对通信过程中更一般的情形,提出了基于延时通信和周期内间歇量测的分布式协议,利用相似的手段,给出了保证一致性的最大延时的上界,该上界与Lipschitz常数和系统的耦合参数有关。后文仿真验证了结论的正确性。
[Abstract]:In this paper, the consistency problem of second order multi-agent systems under intermittent control is studied. In chapter 3, we study the mean square consistency problem of second-order multi-agent systems with communication noise under intermittent control. In this paper, we propose a distributed protocol based on periodic communication with interference. By using algebraic graph theory and Lyapunov method, we give the upper bound of matrix norm of noise intensity and the lower bound of communication time during the period. In chapter 4, we study a class of coupled system models. The nonlinear function contains delay term and there is noise in the communication process. Under the balanced and strongly connected topology, a sufficient condition for the mean square average uniformity of the system is given. In the fifth chapter, we propose a distributed protocol based on delay communication and intermission measurement in the process of communication. By using similar methods, we give the upper bound of maximum delay to ensure consistency. The upper bound is related to the Lipschitz constant and the coupling parameters of the system. The simulation results show that the conclusion is correct.
【学位授予单位】：郑州大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TP18

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