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Identification Aspects of Ritt's Algorithm for Discrete-Time Systems
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2009 (English)Report (Other academic)
Abstract [en]

In system identification, the challenge of parameter estimation often lies in solving a non-convex optimization problem. In many cases, this implies that it is difficult to guarantee that the global optimum will be found. The tools of differential algebra, for example, Gr\"{o}bner bases and Ritt's algorithm, have turned out to be quite useful when dealing with certain nonlinear model structures. Some examples of successful applications are the determination of controllability, observability and global identifiability of these model structures. In this paper, difference algebraic techniques, which mimics the differential algebraic methods, will be presented. Besides making it possible to handle discrete-time systems, this opens up the possibility of dealing with noise. It turns out that the classical instrumental variables method plays a role.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2009. , 9 p.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 2891
Keyword [en]
System identification- -Identifiability--Ritt's algorithm
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-56200ISRN: LiTH-ISY-R-2891OAI: oai:DiVA.org:liu-56200DiVA: diva2:317009
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-09-02Bibliographically approved

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Lyzell, ChristianGlad, TorkelEnqvist, MartinLjung, Lennart

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CiteExportLink to record
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