引用本文:曹永岩 ,孙优贤.最小阶输出反馈镇定控制器设计*[J].控制理论与应用,1998,15(1):105~108.[点击复制]
CAO Yongyan and SUN Youxian.The Design of the Minimal-Order Stabilizers[J].Control Theory and Technology,1998,15(1):105~108.[点击复制]
最小阶输出反馈镇定控制器设计*
The Design of the Minimal-Order Stabilizers
摘要点击 768  全文点击 398  投稿时间:1996-02-05  修订日期:1997-03-03
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DOI编号  
  1998,15(1):105-108
中文关键词  镇定  逆LQG  矩阵不等式  输出反馈  线性系统
英文关键词  stabilization  inverse LQG  matrix inequality  output feedback  linear system
基金项目  
作者单位
曹永岩 ,孙优贤  
中文摘要
      本文首先基于逆LQG方法得到了静态输出反馈可镇定的一种充要条件, 并进一步给出了固定阶输出反馈可镇定的充要条件和控制器的设计方法, 基于此给出了一种最小阶镇定控制器的设计方法. 这些条件的形式比较简单, 判断其可镇定性和设计镇定控制器仅需解几个相应的矩阵不等式.
英文摘要
      In this paper,first based on the inverse LQG method,a stabilizability condition via static out-put feedback for linear time-invariant systems is gained,then a necessary and sufficient stabilizability condi-tion and the design method for fixed-order output feedback are derived. Then a design method of the minimal-order stabilizers is provided. All this conditions are very simple and only some matrix inequalities need to be solved to judge its stabilizability and to design the stabilizers.