引用本文:李晖,伍清河.具有随机丢包的关联系统的分散控制[J].控制理论与应用,2010,27(4):415~422.[点击复制]
LI Hui,WU Qing-he.Decentralized control of interconnected systems with random communication packet dropout[J].Control Theory and Technology,2010,27(4):415~422.[点击复制]
具有随机丢包的关联系统的分散控制
Decentralized control of interconnected systems with random communication packet dropout
摘要点击 1671  全文点击 924  投稿时间:2009-03-09  修订日期:2009-06-10
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DOI编号  10.7641/j.issn.1000-8152.2010.4.CCTA090232
  2010,27(4):415-422
中文关键词  关联系统  数据丢包  分散控制  跳变系统
英文关键词  interconnected systems  packet dropout  decentralized control  jump systems
基金项目  北京理工大学研究生创新基金资助项目(JA200803).
作者单位E-mail
李晖* 北京理工大学 自动化学院 huili03855@bit.edu.cn 
伍清河 北京理工大学 自动化学院  
中文摘要
      研究了在子系统之间信息传输存在随机丢包现象时关联大系统的性能分析及控制器设计问题. 通过引入空间变量及空间移动算子, 将关联系统建模成具有Markovian跳变参数的关于离散时间变量和空间变量的多维系统, 结合跳变系统有界实引理, 得到使整个关联系统均方稳定并满足一定性能指标的解析条件. 然后基于线性矩阵不等式变换给出确保关联大系统鲁棒均方稳定性的一种分散输出反馈控制器的设计方法. 最后通过一组多机器人直线编队的例子说明本文算法的正确性和有效性.
英文摘要
      The stability analysis and controller synthesis are thoroughly investigated for large-scale interconnected systems, which subject to random communication packet dropout between subsystems. Spatial variables and spatial shift operators are introduced to model the interconnected systems with packet dropout as multidimensional systems of discrete-time and spatial variables and with Markovian jumping parameter. Analytical criteria are obtained for the whole interconnected system to be mean-square stable and to have the prescribed performance, based on the bounded real lemma for jump systems. Next, a method of designing the decentralized output feedback controller is proposed, which is expressed in terms of linear matrix inequalities. Finally, an example of multi-robot formation control with consideration to the packet dropout is exploited to demonstrate the validity and effectiveness of the proposed model and method.