Unimodular Transformations and Canonical Forms for Singular Systems

被引：0

作者：

Vafiadis, Dimitris ^{[1
]}

Karcanias, Nicos ^{[1
]}

机构：

[1] City Univ London, Syst & Control Res Ctr, London EC1V 0HB, England

来源：

IFAC PAPERSONLINE | 2017年 / 50卷 / 01期

关键词：

singular systems; canonical forms; matrix fraction description; DESCRIPTOR SYSTEMS; MINIMAL BASES;

D O I：

10.1016/j.ifacol.2017.08.2356

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The relationship between the unimodular matrices relating coprime and column reduced matrix fraction descriptions (MFD) of a nonproper transfer function, and the restricted system equivalence (r.s.e.) transformations relating the corresponding generalised state space realisations is considered. It is shown that the r.s.e and unimodular transformations can be directly obtained from each other by inspection. The r.s.e. transformations leading to the canonical form are derived from the unimodular transformations leading to the echelon canonical form of the composite matrix of the MFD of the system. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：10816 / 10821

页数：6

共 12 条

[1]

Dickinson B. W., 1974, IEEE T AUTOMATIC CON, P19

[2]

FORNEY GD, 1975, SIAM J CONTROL, V13, P493, DOI 10.1137/0313029

[3]

Kailath T., 1980, LINEAR SYSTEMS

[4]

Karcanias N., 1990, Realization and Modelling in System Theory. Proceedings of the International Symposium MTNS-89. Vol.I, P255