On Structural Invariants and the Root-Loci of Linear Multi-Variable Systems

Abstract

The geometric nature of the infinite zeros of the root-loci of linear multi-variable systems is investigated using the canonical form derived by Morse (1973). It is shown that an invertible system S (A,B,C) has integer order infinite zeros in the generic case equal to the controllability indices of a pair (A+KC, B), that suitable choice of proportional output feedback guarantees the absence of other than integer order zeros and that the orders and asymptotic directions of the infinite zeros are independent of constant state feedback and output injection.

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Item Type:	Monograph
Authors/Creators:	Owens, D.H.
Copyright, Publisher and Additional Information:	The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances.
Dates:	Published: May 1977
Institution:	The University of Sheffield
Academic Units:	The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) > ACSE Research Reports
Depositing User:	MRS ALISON THERESA BARNETT
Date Deposited:	18 Jun 2015 09:09
Last Modified:	27 Oct 2016 02:42
Status:	Published
Publisher:	Department of Automatic Control and Systems Engineering
Series Name:	ACSE Research Report 58
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:87205

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On Structural Invariants and the Root-Loci of Linear Multi-Variable Systems

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