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Balanced realisations of all-pass systems using exact arithmetic with application to the approximation of delay systems

Glover, K and Yuan, X (2012) Balanced realisations of all-pass systems using exact arithmetic with application to the approximation of delay systems. Proceedings of the IEEE Conference on Decision and Control. pp. 4942-4946. ISSN 0191-2216

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Abstract

Numerically well-conditioned state-space realisations for all-pass systems, such as Padé approximations to exp(-s), are derived that can be computed using exact integer arithmetic. This is then applied to the a series of functions of exp(-s). It is also shown that the H-infinity norm of the transfer function from the input to the state of a balanced realisation of the Padé approximation of exp(-s) is unity. © 2012 IEEE.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:45
Last Modified: 08 Dec 2014 02:27
DOI: 10.1109/CDC.2012.6426409