| 基于部分稳定性方法的离散时间多智能体系统的一致性 |
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| 引用本文： | 陈阳舟,盖彦荣,宋学君.基于部分稳定性方法的离散时间多智能体系统的一致性[J].控制理论与应用,2014,31(4):438-443. |
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| 作者姓名： | 陈阳舟 盖彦荣 宋学君 |
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| 作者单位： | 北京工业大学 电子信息与控制工程学院,北京工业大学 电子信息与控制工程学院; 河北师范大学 物理科学与信息工程学院,河北师范大学 物理科学与信息工程学院 |
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| 基金项目： | 国家自然科学基金资助项目(61079001, 61273006); 高等学校博士学科点专项科研基金资助项目(20111103110017); 国家高技术研究发展计划(“863”计划)资助项目(2011AA110301); 河北省科学技术研究与发展计划资助项目(10203548D); 河北省科技计划资助项目(13210807); 河北省科技条件建设资助项目(11963546D). |
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| 摘 要： | 研究有向信息拓扑下离散时间线性多智能体系统的一致性分析与设计问题.利用提出的线性变换,将一致性问题转换为相应线性系统的部分变元渐近稳定性问题.基于部分变元稳定性理论,得到有向信息拓扑下离散时间线性多智能体系统达到渐近一致的基于矩阵Schur稳定性的充要条件和状态一致函数的解析表达式.同时设计了反馈增益矩阵.最后数值实例验证了所得理论的有效性.
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| 关 键 词： | 离散时间系统 多智能体系统 部分稳定性 一致性判据 状态一致函数 |
| 收稿时间： | 7/5/2013 12:00:00 AM |
| 修稿时间： | 2013/12/30 0:00:00 |
Partial stability based approach to consensus problem in discrete-time multi-agent systems |
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| CHEN Yang-zhou,GE Yan-rong and SONG Xue-jun.Partial stability based approach to consensus problem in discrete-time multi-agent systems[J].Control Theory & Applications,2014,31(4):438-443. |
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| Authors: | CHEN Yang-zhou GE Yan-rong and SONG Xue-jun |
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| Affiliation: | College of Electronic Information and Control Engineering, Beijing University of Technology,College of Electronic Information and Control Engineering, Beijing University of Technology; College of Physics Science and Information Engineering, Hebei Normal University,College of Physics Science and Information Engineering, Hebei Normal University |
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| Abstract: | Consensus analysis and design problem for discrete-time linear multi-agent systems (DLMAS) under directed information topology is investigated. A proper linear transformation is proposed to transform the consensus problem to the partial stability problem of a corresponding linear system. Then, a new consensus criterion in terms of Schur stability of matrices for DLMAS achieving consensus under directed information topologies and a state consensus function in analytical formulae are given. Moreover, a design process to determine the feedback gain matrix in the consensus protocol is proposed. Numerical examples are given to validate the above theoretical results. |
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| Keywords: | discrete-time systems multi-agent systems partial stability consensus criterion state consensus function |
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