Minimal partial realization from orthonormal basis function expansions

P. S C Heuberger, T. J. De Hoog, P. M J Van Den Hof, Z. Szabó, J. Bokor

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Given an expansion of a dynamical system in terms of a generalized orthonormal (Hambo) basis, the problem of realizing a state-space model of minimal McMillan degree such that its first N expansion coefficients match the given ones is addressed and solved. For the solution use is made of the properties of the Hambo operator transform theory. The resulting realization algorithms can be applied in an exact and approximative sense and can also be applied to solve a related interpolation problem.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages3673-3678
Number of pages6
Volume4
Publication statusPublished - 2001
Event40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States
Duration: Dec 4 2001Dec 7 2001

Other

Other40th IEEE Conference on Decision and Control (CDC)
CountryUnited States
CityOrlando, FL
Period12/4/0112/7/01

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Mathematical operators
Interpolation
Dynamical systems

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Heuberger, P. S. C., De Hoog, T. J., Van Den Hof, P. M. J., Szabó, Z., & Bokor, J. (2001). Minimal partial realization from orthonormal basis function expansions. In Proceedings of the IEEE Conference on Decision and Control (Vol. 4, pp. 3673-3678)

Minimal partial realization from orthonormal basis function expansions. / Heuberger, P. S C; De Hoog, T. J.; Van Den Hof, P. M J; Szabó, Z.; Bokor, J.

Proceedings of the IEEE Conference on Decision and Control. Vol. 4 2001. p. 3673-3678.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Heuberger, PSC, De Hoog, TJ, Van Den Hof, PMJ, Szabó, Z & Bokor, J 2001, Minimal partial realization from orthonormal basis function expansions. in Proceedings of the IEEE Conference on Decision and Control. vol. 4, pp. 3673-3678, 40th IEEE Conference on Decision and Control (CDC), Orlando, FL, United States, 12/4/01.
Heuberger PSC, De Hoog TJ, Van Den Hof PMJ, Szabó Z, Bokor J. Minimal partial realization from orthonormal basis function expansions. In Proceedings of the IEEE Conference on Decision and Control. Vol. 4. 2001. p. 3673-3678
Heuberger, P. S C ; De Hoog, T. J. ; Van Den Hof, P. M J ; Szabó, Z. ; Bokor, J. / Minimal partial realization from orthonormal basis function expansions. Proceedings of the IEEE Conference on Decision and Control. Vol. 4 2001. pp. 3673-3678
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