| 引用本文: | 徐 君,张国良,曾 静,汤文俊,黄鑫.离散时间高阶不确定线性多个体系统保性能一致性分析[J].控制理论与应用,2016,33(6):841~848.[点击复制] |
| XU Jun,ZHANG Guo-liang,ZENG Jing,TANG Wen-jun,Huang Xin.Guaranteed cost consensus analysis of discrete-time high-order uncertain linear multi-agent systems[J].Control Theory and Technology,2016,33(6):841~848.[点击复制] |
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| 离散时间高阶不确定线性多个体系统保性能一致性分析 |
| Guaranteed cost consensus analysis of discrete-time high-order uncertain linear multi-agent systems |
| 摘要点击 3205 全文点击 1801 投稿时间：2015-05-21 修订日期：2016-03-23 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 10.7641/CTA.2016.50429 |
| 2016,33(6):841-848 |
| 中文关键词 不确定系统 离散时间 多个体系统 一致性 保性能 |
| 英文关键词 uncertain systems discrete-time multi-agent systems consensus guaranteed cost |
| 基金项目 国家自然科学基金项目(61374054). |
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| 中文摘要 |
| 本文研究了存在参数不确定性的离散时间高阶多个体系统保性能一致性问题, 给出了一种设计其线性一
致性协议的方法. 首先, 通过模型转换的方法将该问题转换为一组离散时间不确定系统的稳定性问题; 然后, 构造
合适的Lyapunov函数并利用离散时间系统稳定性理论, 推导出一个使离散时间高阶不确定多个体系统获得保性能
一致的LMI充分条件; 接着, 以一致性序列的形式给出参数不确定条件下的离散时间高阶多个体系统的一致性收敛
结果. 最后, 参数不确定的对比数值仿真验证了本文理论的正确性和有效性. |
| 英文摘要 |
| A guaranteed cost consensus problem of discrete-time high-order linear multi-agent systems with parameter
uncertainties is studied, and a linear consensus protocol of it is designed in this paper. Firstly, the consensus problem is
transformed into a stability problem of a group of general discrete-time uncertain linear systems via a model transformation
method. Secondly, by constructing a suitable Lyapunov function and using the stability theory of discrete-time linear systems,
a sufficient LMI condition is derived to insure that the discrete-time high-order uncertain linear multi-agent systems
achieve guaranteed cost consensus. Thirdly, convergence results are given as consensus function sequences of discrete-time
high-order linear multi-agent systems with parameter uncertainties. Finally, a contrast numerical experiment with uncertain
parameters is provided to demonstrate the correctness and effectiveness of the theoretical results. |
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