Extended Ho-Kalman algorithm for systems represented in generalized orthonormal bases

Z. Szabó, Peter S C Heuberger, J. Bokor, Paul M J Van Den Hof

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

This paper considers the construction of minimal state space models of linear time-invariant systems on the basis of system representations in terms of generalized orthogonal basis function expansions. Starting from the classical Ho-Kalman algorithm that solves the problem using Markov parameter expansions, a generalization is obtained by analyzing the matrix representations of the Hankel operators in generalized orthonormal bases. Using the so-called Hambo-domain techniques an efficient algorithm is given to implement the proposed method.

Original languageEnglish
Pages (from-to)1809-1818
Number of pages10
JournalAutomatica
Volume36
Issue number12
DOIs
Publication statusPublished - Dec 2000

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Extended Ho-Kalman algorithm for systems represented in generalized orthonormal bases. / Szabó, Z.; Heuberger, Peter S C; Bokor, J.; Van Den Hof, Paul M J.

In: Automatica, Vol. 36, No. 12, 12.2000, p. 1809-1818.

Research output: Contribution to journalArticle

Szabó, Z. ; Heuberger, Peter S C ; Bokor, J. ; Van Den Hof, Paul M J. / Extended Ho-Kalman algorithm for systems represented in generalized orthonormal bases. In: Automatica. 2000 ; Vol. 36, No. 12. pp. 1809-1818.
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