引用本文:马跃超,张庆灵,童松.不确定非线性环链系统的分散鲁棒控制[J].控制理论与应用,2007,24(2):229~235.[点击复制]
MA Yue-chao, ZHANG Qing-ling ,TONG Song .Decentralized robust control for the uncertain nonlinear circle-linked systems[J].Control Theory and Technology,2007,24(2):229~235.[点击复制]
不确定非线性环链系统的分散鲁棒控制
Decentralized robust control for the uncertain nonlinear circle-linked systems
摘要点击 1868  全文点击 1211  投稿时间:2005-09-17  修订日期:2006-07-17
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DOI编号  10.7641/j.issn.1000-8152.2007.2.012
  2007,24(2):229-235
中文关键词  环链系统  鲁棒镇定  分散控制  状态反馈
英文关键词  circle-linked systems  robust stabilization  decentralized control  state feedback
基金项目  国家自然科学基金资助项目(60574011);辽宁省科技厅基金资助项目(20052022).
作者单位
马跃超,张庆灵,童松 东北大学 系统科学研究所, 辽宁 沈阳 110004
燕山大学 理学院, 河北 秦皇岛 066004 
中文摘要
      提出了环链系统和一类不确定非线性环链系统, 利用线性代数理论,给出了实现环链系统的充要条件.运用李雅普诺夫稳定理论和矩阵理论研究了不确定非线性环链系统的鲁棒镇定,并给出了一种非线性鲁棒镇定控制器的设计.还考虑了一类非线性环链相似组合大系统, 给出了分散鲁棒镇定条件.最后给出数值例子说明设计方法的有效性.
英文摘要
      The circle-linked systems and a class of uncertain nonlinear circle-linked systems are proposed in this paper. Firstly, a sufficient and necessary condition for realization circle-linked systems is given by using linear algebra theory. Robust stabilization for the uncertain nonlinear circle-linked systems is then studied by employing Lyapunov stability theory and matrix theory, and a kind of nonlinear decentralized robust stabilization controller for the systems is also designed. Furthermore, a class of nonlinear circle-linked similar large-scale composite systems is considered and the condition of decentralized robust stabilization for the systems is obtained. Finally, a numerical example is given to illustrate the validity of the obtained design method.