A simple algorithm for computing canonical forms
type: Item
instance of: scholarly article
title: A simple algorithm for computing canonical forms
zbMATH Open document ID: 0571.65055
DOI: 10.1016/0898-1221(84)90059-2
author: H. Ford
author: Renjeng Su
author: L. R. Hunt
publication date: 1984-01-01T00:00:00Z
review text: This paper deals with building-up an on-line procedure which transforms a linear time-invariant controllable system to \textit{P. Brunovský}'s canonical form [Kybernetika 6, 173-188 (1970; Zbl 0199.482)]. The practical interest of such a procedure is the design of automatic flight controllers for vertical and short take off aircrafts. The main contribution of this paper is to point out that \textit{G. Meyer}'s block triangular form [The design of exact nonlinear model followers, Proc. 1981 Joint Automatic Control Conf., FA3A (1981)] is a natural intermediate step. Next the lead variables for the Brunovsky form are selected and the Kronecker indices are computed. The whole algorithm involves only orthogonal matrices, coordinate changes and linear feedback; it is straightforward and simple from a computational point of view. Pseudocodes are given for all steps (the authors claim that they have computer programs to carry out the entire process) and a numerical example is treated.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93C99
Mathematics Subject Classification ID: 65L10
zbMATH DE Number: 3911610
zbMATH Keywords: linear time-invariant controllable systems
zbMATH Keywords: Brunovsky canonical form
zbMATH Keywords: feedback
zbMATH Keywords: Meyer's block triangular form
reviewed by: Viorel Arnăutu
MaRDI profile type: Publication
full work available at URL: 0898-1221(84)90059-2
OpenAlex ID: W2046764094
cites work: Q5597890
cites work: Q4057472
cites work: On the Equivalence of Control Systems and the Linearization of Nonlinear Systems
cites work: Q3907490
cites work: Q3951974
cites work: On the linear equivalents of nonlinear systems
cites work: Q3332867
cites work: Q4750482
cites work: Application of nonlinear transformations to automatic flight control
Wikidata QID: Q126590611
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 3911610