Abstract

The disturbance decoupling and the simultaneous disturbance and input–output decoupling problems for singular systems are considered in the context of the matrix fraction description (MFD) of the system. Solvability conditions are obtained in terms of the composite matrix of a column reduced MFD of the system, a characterisation of the fixed poles of both problems is given and it is shown that the remaining poles can be arbitrarily assigned.

Publication Type:	Article
Additional Information:	NOTICE: this is the author’s version of a work that was accepted for publication in Automatica. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Automatica, Volume 48, Issue 8, August 2012, Pages 1650–1657, http://dx.doi.org/10.1016/j.automatica.2012.05.021
Publisher Keywords:	Singular systems; Decoupling; Disturbance rejection; Matrix fraction description
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Departments:	School of Mathematics, Computer Science & Engineering > Engineering School of Mathematics, Computer Science & Engineering > Engineering > Electrical & Electronic Engineering
URI:	http://openaccess.city.ac.uk/id/eprint/7296

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