吉林大学学报(工学版) ›› 2004, Vol. ›› Issue (3): 449-453.

• 论文 • 上一篇    下一篇

Observer design for matrix second-order linear systems: a parametric approach

WU Yunli, DUAN Guangren   

  1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China
  • 收稿日期:2004-02-19 出版日期:2004-07-01
  • 基金资助:
    Supported by the Chinese National Natural Science Foundation(69925308)

Observer design for matrix second-order linear systems: a parametric approach

WU Yunli, DUAN Guangren   

  1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China
  • Received:2004-02-19 Online:2004-07-01

摘要: The issue of designing a type of generalized Luenberger observers for matrix second-order linear (MSOL) systems was addressed in the matrix second-order framework. By introducing the concept of stable matrix pair for MSOL systems, sufficient and necessary conditions for the design of the type of generalized Luenberger observers were given under the assumption of controllability and observability of the MSOL system. Based on the proposed conditions and the right coprime factorization of the system, a parametric approach to the design of such type of observers was presented. The proposed approach provides all the degrees of design freedom, which can be further utilized to achieve additional system specifications. A spring-mass system was utilized to show the effect of the proposed method.

关键词: generalized luenberger observer, matrix second-order linear systems, degrees of design freedom, stable matrix pairs

Abstract: The issue of designing a type of generalized Luenberger observers for matrix second-order linear (MSOL) systems was addressed in the matrix second-order framework. By introducing the concept of stable matrix pair for MSOL systems, sufficient and necessary conditions for the design of the type of generalized Luenberger observers were given under the assumption of controllability and observability of the MSOL system. Based on the proposed conditions and the right coprime factorization of the system, a parametric approach to the design of such type of observers was presented. The proposed approach provides all the degrees of design freedom, which can be further utilized to achieve additional system specifications. A spring-mass system was utilized to show the effect of the proposed method.

Key words: generalized luenberger observer, matrix second-order linear systems, degrees of design freedom, stable matrix pairs

中图分类号: 

  • TP13
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