| 引用本文: | 莫立坡,周艳杰,周洪波.带Leader的不确定高阶多智能体系统的L2–L∞一致[J].控制理论与应用,2012,29(9):1125~1131.[点击复制] |
| MO Li-po,ZHOU Yan-jie,ZHOU Hong-bo.L-two–L-infinity consensus in uncertain high-order multi-agent systems with a leader[J].Control Theory and Technology,2012,29(9):1125~1131.[点击复制] |
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| 带Leader的不确定高阶多智能体系统的L2–L∞一致 |
| L-two–L-infinity consensus in uncertain high-order multi-agent systems with a leader |
| 摘要点击 1988 全文点击 1736 投稿时间：2011-09-24 修订日期：2012-03-19 |
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| DOI编号 10.7641/j.issn.1000-8152.2012.9.CCTA111084 |
| 2012,29(9):1125-1131 |
| 中文关键词 L2–L∞一致 高阶多智能体系统 不确定性 时滞 |
| 英文关键词 L-two–L-infinity consensus high-order multi-agent systems uncertainty time delay |
| 基金项目 国家自然科学基金资助项目(11126210); 北京市属高校人才强教计划资助项目(201106206, 201108091); 北京工商大学青年教师启动基金资助项目(QNJJ2011–34); 北京市委组织部优秀人才项目(2012D005003000005). |
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| 中文摘要 |
| 针对一类存在外部干扰, 模型误差以及时滞的带Leader的高阶多智能体系统, 利用L2–L∞方法研究了其一致性问题. 首先给出了系统存在外部干扰和模型误差时的数学模型. 然后针对有时滞和无时滞两种情况, 利用Lyapunov函数的方法, 分析了满足L2–L∞性能指标下的一致问题, 分别得到了相应闭环系统达到一致的条件. 最后, 仿真结果验证了所得结果的有效性. |
| 英文摘要 |
| We use the method of L-two–L-infinity to investigate the consensus problem for a class of high-order multiagent systems with a leader, under the condition of existing external disturbances, model errors and time-delay. The mathematical model is developed and the leader-following consensus with desired L-two–L-infinity performance is analyzed for networks with and without time-delay; thus, conditions for consensus of corresponding closed-loop systems are obtained respectively. Simulation results are provided to demonstrate the effectiveness of the proposed approach. |