引用本文:杨春曦,张净,韩光松,等.基于矩形波控制的多智能体系统静态多一致性与收敛性能优化[J].控制与决策,2020,35(8):2029-2036
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基于矩形波控制的多智能体系统静态多一致性与收敛性能优化
杨春曦1, 张净1, 韩光松2, 朱杰1
(1. 昆明理工大学化学工程学院,昆明650500;2. 中国人民解放军国防大学联合作战学院,石家庄050084)
摘要:
研究多智能体系统静态多一致性及其收敛性能优化问题.首先,设计控制作用时间可调的矩形波控制协议,基于赫尔维茨稳定性判据得到系统多一致的充要条件;然后,以系统谱半径最小为优化指标,采用二分法设计具有快速多一致性特点的参数优化算法;最后,通过数值仿真验证所提出的矩形波控制协议的有效性.仿真结果表明,只要矩形波控制协议中的参数选择适当,多智能体系统不仅能够实现多一致性,而且能够大幅度提高系统多一致性收敛速度.
关键词:  多智能体系统  多一致性  矩形波控制  收敛性能优化
DOI:10.13195/j.kzyjc.2018.1492
分类号:TP273
基金项目:国家自然科学基金项目(61364002,61273026).
Stationary multi-consensus and convergence performance optimization of multi-agent systems via rectangular wave controller
YANG Chun-xi1,ZHANG Jing1,HAN Guang-song2,ZHU Jie1
(1. Faculty of Chemical Engineering,Kunming University of Science and Technology,Kunming650500,China;2. Joint Operations College,PLA National Defense University,Shijiazhuang050084,China)
Abstract:
Stationary multi-consensus and convergence performance optimization of multi-agent systems via rectangular wave controller are studied. Firstly, a rectangular wave control protocol is designed with adjustable action time, and a necessary and sufficient condition of multi-consensus problem is given based on Hurwitz stability criterion. Then, a parameter optimization algorithm is designed for the faster multi-consensus convergence rate via the dichotomy,and the minimum spectral radius of the multi-agent system is taken as the optimal index in the algorithm. Finally, a numerical simulation is given to show the effectiveness of the rectangular wave control protocol proposed in this paper. These results show that if the suitable parameters of the rectangular wave control protocol are given, the multi-agent systems not only can achieve stationary multi-consensus, but also can improve the convergence rate greatly.
Key words:  multi-agent systems  multi-consensus  rectangular wave control  convergence performance optimization

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