Optimal experimental design for LPV identification using a local approach

A. Khalate, X. Bombois, R. Toth, R. Babuska

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

21 Citaten (Scopus)
141 Downloads (Pure)

Samenvatting

A common approach for dealing with non-linear systems is to describe the system by a model with parameters that vary as a function of the operating point. Consequently, the non-linear system is seen as a combination of local Linear Time-Invariant (LTI) systems, one for each value of the operating point. Such representations are called Linear Parameter-Varying (LPV) models. Due to the importance of this representation for the control of nonlinear systems, numerous algorithms have recently been developed to identify LPV models. However, the optimal design of such identification experiments remains completely unexplored. In this paper, we consider the so-called local approach for the LPV identification. In the local approach, the local linear models, corresponding to a series of fixed operating points, are identified by performing one identification experiment at each of these operating points. The LPV nature of the system is then retrieved by interpolating the value of the parameters at other operating points for example with a polynomial function which is fitted through the parameters identified at the operating points considered. We present an approach to choose optimally the value of the operating-points at which the local identification experiments will be performed. By optimal, we mean that the value of the operating points are optimized in such a way that the LPV model obtained after interpolation has a maximum accuracy.
Originele taal-2Engels
TitelProceedings of the 15th IFAC Symposium on System Identification, 6-8 July 2009, St. Malo, France
Plaats van productieOxford
UitgeverijPergamon
Pagina's162-167
ISBN van geprinte versie978-3-902661-47-0
DOI's
StatusGepubliceerd - 2009
Evenement15th IFAC Symposium on System Identification (SYSID 2009) - Saint-Malo, Frankrijk
Duur: 6 jul 20098 jul 2009
Congresnummer: 15
http://www.sysid2009.org/

Congres

Congres15th IFAC Symposium on System Identification (SYSID 2009)
Verkorte titelSYSID 2009
Land/RegioFrankrijk
StadSaint-Malo
Periode6/07/098/07/09
AnderIFAC Symposium on System Identification
Internet adres

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