引用本文:舒伟仁,张庆灵.时滞广义区间系统的弹性保性能控制[J].控制理论与应用,2005,22(4):533~537.[点击复制]
SHU Wei-ren, ZHANG Qing-ling.Resilient guaranteed cost control for singular interval systems with time-delay[J].Control Theory and Technology,2005,22(4):533~537.[点击复制]
时滞广义区间系统的弹性保性能控制
Resilient guaranteed cost control for singular interval systems with time-delay
摘要点击 1119  全文点击 696  投稿时间:2003-12-23  修订日期:2004-08-18
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DOI编号  
  2005,22(4):533-537
中文关键词  广义系统  时滞系统  区间系统  弹性保性能控制  线性矩阵不等式
英文关键词  singular systems  time-delay systems  interval systems  resilient guaranteed cost control  linear matrix inequality (LMI)
基金项目  辽宁省普通高校学科带头人基金资助项目(124210).
作者单位
舒伟仁,张庆灵 东北大学理学院,辽宁沈阳110004
嘉兴学院数学与信息科学学院,浙江嘉兴314001 
中文摘要
      研究了一类时滞广义区间系统的弹性保性能控制问题.利用线性矩阵不等式处理方法,导出了系统弹性保性能控制器存在的条件,证明了该条件等价于一个线性矩阵不等式的可行性问题,并用该线性矩阵不等式的可行解给出了弹性保性能控制器的一个参数化表示.进一步,通过求解一个凸优化问题,给出了系统的最优弹性保性能控制器的设计方法.最后的数值例子说明了所给方法的有效性.
英文摘要
      The problem of resilient guaranteed cost control was investigated for a class of singular interval systems with time-delay.A condition for the existence of resilient guaranteed cost controller is derived.Furthermore,it is shown that this condition is equivalent to the feasibility problem of a linear matrix inequality(LMI),and its solutions provide a parametrized representation of resilient guaranteed cost controllers.On this basis,the design problem of the optimal resilient guaranteed cost controller for the systems is formulated as a convex optimization problem,which can be solved by the existing convex optimization techniques.Finally,an example is given to illustrate the application of the proposed method.