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A Unifying Construction of Orthonormal Bases for System Identification
University of Newcastle, Australia.
Linköpings universitet, Institutionen för systemteknik, Reglerteknik. Linköpings universitet, Tekniska högskolan.
1995 (engelsk)Inngår i: Proceedings of the 3rd European Control Conference, 1995, s. 13-18Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

In this paper we develop a general and very simple construction for complete orthonormal bases for system identification. This construction provides a unifying formulation of all known orthonormal bases since the FIR, Laguerre and Kautz model structures are restrictive special cases of our construction as is another construction method based on balanced realisations of all-pass functions. However, in contrast to these special cases, the basis vectors in our unifying construction can have nearly arbitrary magnitude frequency response according to the prior information the user wishes to inject into the problem. We also provide results characterising the completeness properties of our bases.

sted, utgiver, år, opplag, sider
1995. s. 13-18
Emneord [en]
Frequency response, Identification, Orthonormal bases
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-93730OAI: oai:DiVA.org:liu-93730DiVA, id: diva2:629008
Konferanse
3rd European Control Conference, Rome, Italy, September, 1995
Tilgjengelig fra: 2013-06-15 Laget: 2013-06-10 Sist oppdatert: 2013-08-09

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