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Calculation of Zero Dynamics using the Ritt Algorithm
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1994 (English)In: Proceedings of the 33rd IEEE Conference on Decision and Control, 1994, 3271-3276 vol.4 p.Conference paper, Published paper (Refereed)
Abstract [en]

This paper shows how differential algebra, in particular the Ritt algorithm, can be used to calculate zero dynamics of a polynomial system. We show that for affine polynomial SISO systems the Ritt algorithm gives a result which is equivalent to the ordinary zero dynamics. Furthermore it is shown how the algorithm can be used to calculate zero dynamics for more general affine systems. We also discuss zero dynamics of generalized state-space descriptions.

Place, publisher, year, edition, pages
1994. 3271-3276 vol.4 p.
Keyword [en]
Differential algebra, Zero dynamics, Ritt algorithm
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-94057DOI: 10.1109/CDC.1994.411644ISBN: 0-7803-1968-0 (print)OAI: oai:DiVA.org:liu-94057DiVA: diva2:629384
Conference
33rd IEEE Conference on Decision and Control, Lake Buena Vista, FL, USA, December, 1994
Funder
Swedish Research Council
Available from: 2013-06-17 Created: 2013-06-16 Last updated: 2013-06-17

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