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离散线性一致性算法噪声问题研究

窦全胜 丛玲 姜平 史忠植

窦全胜, 丛玲, 姜平, 史忠植. 离散线性一致性算法噪声问题研究. 自动化学报, 2015, 41(7): 1328-1340. doi: 10.16383/j.aas.2015.c140698
引用本文: 窦全胜, 丛玲, 姜平, 史忠植. 离散线性一致性算法噪声问题研究. 自动化学报, 2015, 41(7): 1328-1340. doi: 10.16383/j.aas.2015.c140698
DOU Quan-Sheng, CONG Ling, JIANG Ping, SHI Zhong-Zhi. Research on Discrete Linear Consensus Algorithm with Noises. ACTA AUTOMATICA SINICA, 2015, 41(7): 1328-1340. doi: 10.16383/j.aas.2015.c140698
Citation: DOU Quan-Sheng, CONG Ling, JIANG Ping, SHI Zhong-Zhi. Research on Discrete Linear Consensus Algorithm with Noises. ACTA AUTOMATICA SINICA, 2015, 41(7): 1328-1340. doi: 10.16383/j.aas.2015.c140698

离散线性一致性算法噪声问题研究

doi: 10.16383/j.aas.2015.c140698
基金项目: 

图家重点基础研究发展计划(973计划) (2013CB329502),国家自然科学基金(61272244, 611750532, 61173173, 61035003, 61202212)资助

详细信息
    作者简介:

    丛玲山东师范大学信息科学与工程学院硕士研究生. 主要研究方向为群体智能. E-mail: clfighting@sina.com

Research on Discrete Linear Consensus Algorithm with Noises

Funds: 

Supported by National Basic Research Program of China (973 Program) (2013CB329502) and National Natural Science Foundation of China (61272244, 611750532, 61173173, 61035003, 612 02212)

  • 摘要: 多智能体一致性问题在传感网、社交网、协同控制等诸多领域有着广泛的实际应用背景, 本文对离散线性一致性算法的噪声问题进行了研究, 证明了离散线性 一致性算法的噪声不可控性; 提出基于抑噪算子ε(t)的噪声控制策略, 指出当ε(t)为t-0.5的高阶无穷小时, 抑噪后的一致性算法噪声可控; 分析了抑噪算子对一致性 算法收敛性的影响, 证明了在无噪声条件下, 当抑噪算子ε(t为t-1的低阶无穷小时, 抑噪后的一致性算法依然可以使Agent收敛至原收敛状态x*.在上述结论基础上进一步指出, 当t→∞ 时, 若抑噪算子ε(t)的阶在t-0.5~t-1之间, 所有Agent 的状态将以原收敛状态x* 为中心呈正态分布. 最后, 以DHA 为例对相应理论结果进行了验证和讨论. 本文为线性一致性算法的噪声控制提供了理论依据, 对抑噪算s子的确定有较强的指导意义.
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出版历程
  • 收稿日期:  2014-10-09
  • 修回日期:  2015-02-02
  • 刊出日期:  2015-07-20

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