| l阶链式积分器型多智能体实现平均一致的时延相关LMI判据 |
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| 引用本文： | 张庆杰,李远,朱华勇,沈林成.l阶链式积分器型多智能体实现平均一致的时延相关LMI判据[J].国防科技大学学报,2011,33(5):83-90. |
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| 作者姓名： | 张庆杰 李远 朱华勇 沈林成 |
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| 作者单位： | 国防科技大学机电工程与自动化学院,湖南长沙,410073 |
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| 基金项目： | 国家省部资助项目(A2820080247,6138101001) |
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| 摘 要： | 针对l阶链式积分器型多智能体平均一致性问题,给出联合连通拓扑条件下LMI表示的时延相关稳定判据.利用状态分解思想,将收敛条件转化为判断不一致系统零平衡点的稳定性；考虑存在多个时变通信时延的情况,采用构造公共的Lyapunov-Krasovskii泛函的方式来分析系统稳定性,为获得较低保守性判据,在主要结论中引入了自由权...
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| 关 键 词： | 平均一致性 Lyapunov-Krasovskii泛函 线性矩阵不等式 自由权矩阵 联合连通 时延相关稳定判据 |
| 收稿时间： | 3/2/2011 12:00:00 AM |
LMI-based Delay-dependent Stability Criterion for Average Consensus of Multi-agent Systems with Lth-order Chain Integrator Dynamics |
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| ZHANG Qingjie,LI Yuan,ZHU Huayong and SHEN Lincheng.LMI-based Delay-dependent Stability Criterion for Average Consensus of Multi-agent Systems with Lth-order Chain Integrator Dynamics[J].Journal of National University of Defense Technology,2011,33(5):83-90. |
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| Authors: | ZHANG Qingjie LI Yuan ZHU Huayong and SHEN Lincheng |
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| Institution: | ZHANG Qing-jie,LI Yuan,ZHU Hua-yong,SHEN Lin-cheng(College of Mechatronics Engineering and Automation,National Univ.of Defense Technology,Changsha 410073,China) |
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| Abstract: | For the average consensus of multi-agent systems with lth-order chain integrator dynamics,it is important to build the LMI-based delay-dependent stability criterion with jointly-connected topologies.Using the idea of state decomposition,the condition was converted into verifying the stability of zero equilibrium of disagreement system.Considering multiple time-varying communication delays,common Lyapunov-Krasovskii functional was employed to analyze the stability of zero equilibrium.In order to relax the co... |
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| Keywords: | average consensus Lyapunov-Krasovskii function Linear Matrix Inequlities(LMI) free-weighting matrices jointly-connected delay-dependent stability criterion |
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