Data Driven Local Coordinates for Multivariable Linear Systems and their Application to System Identification
2004 (English)In: Automatica, ISSN 0005-1098, Vol. 40, no 9, 1629-1635 p.Article in journal (Refereed) Published
In this paper we introduce a new parametrization for state-space systems: data driven local coordinates (DDLC). The parametrization is obtained by restricting the full state-space parametrization, where all matrix entries are considered to be free, to an affine plane containing a given nominal state-space realization. This affine plane is chosen to be perpendicular to the tangent space to the manifold of observationally equivalent state-space systems at the nominal realization. The application of the parametrization to prediction error identification is exemplified. Simulations indicate that the proposed parametrization has numerical advantages as compared to e.g. the more commonly used observable canonical form.
Place, publisher, year, edition, pages
Elsevier, 2004. Vol. 40, no 9, 1629-1635 p.
Linear systems, Optimization, Parametrization, State-space models
IdentifiersURN: urn:nbn:se:liu:diva-45638DOI: 10.1016/j.automatica.2004.04.015OAI: oai:DiVA.org:liu-45638DiVA: diva2:266534
© 2004 Elsevier Ltd. All rights reserved.2009-10-112009-10-112013-07-17