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线性系统的输出反馈特征结构配置——具有不可控不可观模态的情形
Eigenstructure Assignment via Output Feedback for Linear Systems with Uncontrollable and/or Unobservable Modes
【摘要】 本文考虑具有不可控不可观模态的线性系统的输出反馈特征结构配置问题 .根据文中给出的矩阵方程AV+BW =VF的一种显式参数解 ,得到了线性系统的输出反馈特征结构配置的一种参数化方法 .本文没有对系统附加能控能观条件 ,在 [AB]能控的条件下 ,本文得到的矩阵方程的解是文 [5 ]中定理 2的结果 ,在 [AB]能控且[AC]能观的条件下 ,本文得到的输出反馈特征结构配置方法是文 [6]在系统为定常时算法II的结果 .
【Abstract】 In this paper, the problem of eigenstructure assignment via output feedback for linear systems with uncontrollable and/or unobservable modes is considered. Based on the established explicit and parametric solution of the matrix equation AV+BW=VF, a parametric approach for eigenstructure assignment in linear systems via output feedback is proposed. Here the system is not required to be controllable and/or observable. When is controllable, the obtained solution of the matrix equation becomes the result of Theorem 2 in \, when is controllable and is observable, the obtained approach of eigenstructure assignment via output feedback becomes the result of the Algorithm II for constant linear systems in \.
【Key words】 Linear systems; Output feedback; Eigenstructure assignment; Stabilizability; Detectability;
- 【文献出处】 应用数学 ,Mathematica Applicata , 编辑部邮箱 ,2002年04期
- 【分类号】TP13
- 【被引频次】4
- 【下载频次】175