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Mathematica implementation of output-feedback pole assignment for uncertain systems via symbolic algebra

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posted on 2009-10-21, 11:17 authored by Xiang Zheng, Argyrios C. Zolotas, Hong Wang
This paper presents the application of symbolic algebra techniques to the MATHEMATICA implementation of a set of output-feedback pole assignment algorithms, for systems characterised by parametric uncertainty. For multivariable systems there may be more than one feedback matrix solutions leading to the same closed-loop poles based on the same algorithm used. Thus overparameterised solutions are sought by generalising the existing algorithms with extra degrees of freedom retained in the symbolic variables. The general parametric form of output-feedback compensators is developed in terms of the uncertain parameters and symbols representing the extra degrees of freedom. The implementation of three output-feedback pole assignment techniques is presented, with the theory briefly introduced and examples illustrating the effectiveness of the algorithms described.

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Citation

ZHENG, X., ZOLOTAS, A.C., WANG, H., 2006. Mathematica implementation of output-feedback pole assignment for uncertain systems via symbolic algebra. International Journal of Control, 79 (11), pp. 1431-1446.

Publisher

© Taylor & Francis

Version

  • AM (Accepted Manuscript)

Publication date

2006

Notes

This is an electronic version of an article published in the International Journal of Control [© Taylor & Francis]. Information for the final version of the article as published in the print edition of the journal is available at: http://dx.doi.org/10.1080/00207170600726428

ISSN

0020-7179;1366-5820

Language

  • en

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