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IMA Journal of Mathematical Control and Information Advance Access originally published online on October 3, 2008
IMA Journal of Mathematical Control and Information 2008 25(4):431-446; doi:10.1093/imamci/dnn006
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© The author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Reduction of parameters for stabilizing controllers without coprime factorizability

Kazuyoshi Mori{dagger}

School of Computer Science and Engineering, The University of Aizu, Aizu-Wakamatsu, Fukushima 965-8580, Japan

{dagger} Email: kazuyoshi.mori{at}ieee.org

Received on November 13, 2006; Revision received June 28, 2008. Accepted on June 28, 2008

The present paper introduces a parameterization method of stabilizing controllers in the framework of the factorization approach. This parameterization method is a generalization of the previous parameterization methods. The existence of the coprime factorizability of plants is not assumed herein. Under this condition, the number of parameters of the proposed method is less than or equal to those of the previous methods.

Keywords: parameterization of stabilizing controllers; factorization approach; linear systems.


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