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Strong stabilization of MIMO systems via unimodular interpolation in H

Lookup NU author(s): Emeritus Professor Ian Postlethwaite

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Abstract

In this paper, the strong stabilization problem of multivariable linear time-invariant systems is considered. The problem is categorized into minimum and non-minimum phase systems. When the given system is minimum phase, the solution requires a stable inverse of a particular stable transfer function matrix; while for a non-minimum phase system, the solution requires an inner-outer factorization, whose outer part is unimodular in ℜHinfin;, and an interpolation in ℜHinfin;. The formulation of the two cases will be modified so that the conditions for the existence of stable inverse or unimodularity of the outer part are satisfied. When the system is strictly proper it is shown that the problem is more technically involved.

Publication metadata

Author(s): Saif A-WA, Gu D-W, Postlethwaite I

Publication type: Article

Publication status: Published

Journal: International Journal of Control

Year: 1998

Volume: 69

Issue: 6

Pages: 797-818

Print publication date: 01/10/1998

Online publication date: 08/11/2010

ISSN (print): 0020-7179

ISSN (electronic): 1366-5820

Publisher: Taylor & Francis

URL: https://doi.org/10.1080/002071798222550

DOI: 10.1080/002071798222550

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