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不确定广义非线性关联大系统的分散鲁棒控制

Decentralized Robust Control for a Class of Generalized Nonlinearly-Intercorrelated Large-Scale Systems with Uncertainties

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【作者】 马跃超张庆灵童松

【Author】 MA Yue-chao,ZHANG Qing-ling,TONG Song(School of Sciences,Northeastern University,Shenyang 110004,China.)

【机构】 东北大学理学院东北大学理学院 辽宁沈阳110004辽宁沈阳110004

【摘要】 考虑了一类具有相似结构的不确定广义非线性关联大系统,利用Lyapunov稳定理论和矩阵理论,借助广义大系统的分解原理研究了该类系统的分散镇定问题.运用Lyapunov方程的方法结合矩阵的范数性质得到了系统可镇定的条件,并给出了一种分散鲁棒镇定控制器的设计.同时,获得了不确定广义非线性关联大系统及各个孤立子系统同时渐近稳定的不确定量的范数界.

【Abstract】 A class of generalized nonlinearly-intercorrelated large-scale systems with uncertainties and similar structures is considered,of which the decentralized stabilization is studied by virtue of Lyapunov stability theory,matrix theory and decomposing process of a generalized large-scale system.The condition of stabilization is given for the systems by using Lyapunov equation method and matrix norm properties,and a decentralized robust stabilization controller is designed.Meanwhile,the bounds of uncertainties of the generalized nonlinearly-intercorrelated large-scale systems are determined,as well as those of all the individual subsystems which are stabilized asymtotically at the same time.

【基金】 辽宁省普通高等学校学科带头人基金资助项目(124210);辽宁省科技厅基金资助项目(20052022)
  • 【文献出处】 东北大学学报 ,JOURNAL OF NORTHEASTERN UNIVERSITY , 编辑部邮箱 ,2006年04期
  • 【分类号】TP13
  • 【被引频次】10
  • 【下载频次】175
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