有单一虚拟领导者的时延编队一致性 |
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引用本文: | 张顺,杨洪勇.有单一虚拟领导者的时延编队一致性[J].复杂系统与复杂性科学,2012(1):41-46. |
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作者姓名: | 张顺 杨洪勇 |
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作者单位: | 鲁东大学信息科学与工程学院 |
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基金项目: | 国家自然科学基金(60875039) |
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摘 要: | 引入一种有单一虚拟领导者的存在通信时延的二阶多智能体编队控制模型,分析了时延对编队一致性的影响。通过构造Lyapunov-Krasovskii泛函,综合运用LMI方法,推导证明了有单一虚拟领导者的时延编队系统取得一致的条件。证明过程中引入自由权矩阵的思想,得到了系统取得一致性的时延的上界和相应的自由权矩阵。数值实例和仿真结果表明了方法的有效性。
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关 键 词: | 二阶 编队 一致性 自由权矩阵 时延 |
Consensus of Formation with a Virtual Leader and Time-Delays |
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Authors: | ZHANG Shun YANG Hong-yong |
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Institution: | (School of Information Science and Engineering,Ludong University,Yantai 264025,China) |
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Abstract: | The formation of second-order multi-agent systems with a virtual leader and time-delays is introduced for analysis of the consensus problem.The LMI(Linear Matrix Inequality)method and Lyapunov-Krasovskii function are used to analyze the impact caused by time-delays on consensus of formation with a virtual leader.Free weighting matrices method is employed to deal with the delayed system.Stability criterion and the upper bounds of time-delays are derived through theoretical deduction.Numerical examples and simulations are given to demonstrate the effectiveness of the proposed method. |
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Keywords: | second-order formation consensus free-weighting matrices time-delays |
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