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Utilization of the design freedom of pole assignment feedback controllers of unrestricted rank

 

作者: K. RAMAR,   V. GOURISHANKAR,  

 

期刊: International Journal of Control  (Taylor Available online 1976)
卷期: Volume 24, issue 3  

页码: 423-430

 

ISSN:0020-7179

 

年代: 1976

 

DOI:10.1080/00207177608932833

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

When an unrestricted rank state feedback control matrix K is used for exact pole assignment, in an nth-order, r-input linear time-invariant systemẋ =Ax+Bu, n × (r— 1)degrees of freedom are available for optimizing additional criteria if necessary. In this paper it is shown how this design freedom can be utilized to minimize the sensitivity of the closed-loop poles to variations in the matrices B and K. (Variations inAare discussed in another paper.) Minimization of the magnitudes of the elements of K is also discussed. The advantage of using a controller of unrestricted rank over a unity rank controller (which gives only r—1 degrees of freedom) is shown. The use of the. available design freedom to assign eigenvectors is also discussed.

 

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