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A unified theory for the CGT approach to adaptive control

 

作者: WEI SU,   KENNETHM. SOBEL,  

 

期刊: International Journal of Control  (Taylor Available online 1992)
卷期: Volume 56, issue 1  

页码: 143-171

 

ISSN:0020-7179

 

年代: 1992

 

DOI:10.1080/00207179208934307

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

The command generator tracker (CGT) approach to model reference adaptive control of linear time invariant multi-input multi-output plants which are not almost strictly positive real (ASPR) is considered. Three new algorithms are proposed which are characterized by the insertion of supplementary dynamics in (i) feedback with the plant; (ii) in parallel with the plant; and (iii) in cascade with the plant, respectively. The three different implementations are shown to be special cases of a metasystem representation for the adaptive system. The new algorithms extend earlier results by introducing adaptive gains for the supplementary dynamics in addition to adaptive gains for the controller. A stability proof is presented which shows that the error between the plant and model outputs is bounded in the presence of bounded input and output disturbances. If the model input is constant fort≥t1, and no disturbances exist, then conditions are obtained for the choice of the design parameters in the parallel supplementary dynamics case which guarantee that the output error is asymptotically vanishing.

 

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