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A robust PI-controller for infinite-dimensional systems

 

作者: CHENG-ZHONG XU,   HAMADI JERBI,  

 

期刊: International Journal of Control  (Taylor Available online 1995)
卷期: Volume 61, issue 1  

页码: 33-45

 

ISSN:0020-7179

 

年代: 1995

 

DOI:10.1080/00207179508921891

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

In this paper, we deal with single-input single-output systems of the formon a separable Hilbert spaceH, where the operatorAis the generator of an exponentially stable C0-semigroup onH, b ϵ H, C is aA-admissible linear operator andwis an arbitrary constant disturbance vector inH. We propose a low-gain PI-controller which stabilizes and regulates the system such that, for a given reference constantyr, y(t)tends toyrindependently ofwast → + ∞ . Our result generalizes the previous one of Pohjolainen (1982) in that the semigroup is not necessarily holomorphic. A numerical example will be given to illustrate the application of the theory.

 

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