| 线性和非线性动态异构多自主体系统的有限时间一致性 |
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| 引用本文： | 朱亚锟, 关新平, 罗小元. 线性和非线性动态异构多自主体系统的有限时间一致性. 自动化学报, 2014, 40(11): 2618-2624. doi: 10.3724/SP.J.1004.2014.02618 |
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| 作者姓名： | 朱亚锟 关新平 罗小元 |
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| 作者单位： | 1.东北大学秦皇岛分校控制工程学院 秦皇岛 066004;;;2.上海交通大学电子信息与电气工程学院 上海 200240;;;3.燕山大学电气工程学院 秦皇岛 066004 |
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| 基金项目： | National Basic Research Program of China (973 Program)，National Natural Science Foundation of China，Key Project for Natural Science Research of Hebei Education Department，the Doctor Foundation of Northeastern University at Qinhuangdao |
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| 摘 要： | 研究了由线性和非线性动态自主体组成的异构多自主体系统的有限时间一致性问题.针对该异构系统提出了非线性的一致性协议,并分别给出了无领航者和有领航者情形下异构系统在有限时间内实现一致性的充分条件.所得结果还推广到具有有向通信拓扑且满足细致平衡条件的多自主体系统情形.最后,给出一些仿真结果来验证所得结论的正确性和有效性.
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| 关 键 词： | 有限时间一致性 异构多自主体系统 线性和非线性动态 |
| 收稿时间： | 2013-06-17 |
| 修稿时间： | 2013-10-08 |
Finite-time Consensus of Heterogeneous Multi-agent Systems with Linear and Nonlinear Dynamics |
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| ZHU Ya-Kun, GUAN Xin-Ping, LUO Xiao-Yuan. Finite-time Consensus of Heterogeneous Multi-agent Systems with Linear and Nonlinear Dynamics. ACTA AUTOMATICA SINICA, 2014, 40(11): 2618-2624. doi: 10.3724/SP.J.1004.2014.02618 |
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| Authors: | ZHU Ya-Kun GUAN Xin-Ping LUO Xiao-Yuan |
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| Affiliation: | 1. School of Control Engineering, Northeastern University (Qinhuangdao), Qinhuangdao 066004, China;;;2. Institute of Electrical Engineering, Yanshan University, No.438, Heibei Avenue, Qinhuangdao 066004, China;;;3. School of Electronic, Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China |
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| Abstract: | In this paper, the finite-time consensus problems of heterogeneous multi-agent systems composed of both linear and nonlinear dynamics agents are investigated. Nonlinear consensus protocols are proposed for the heterogeneous multi-agent systems. Some sufficient conditions for the finite-time consensus are established in the leaderless and leader-following cases. The results are also extended to the case where the communication topology is directed and satisfies a detailed balance condition on coupling weights. At last, some simulation results are given to illustrate the effectiveness of the obtained theoretical results. |
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| Keywords: | Finite-time consensus heterogeneous multi-agent systems linear and nonlinear dynamics |
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