Flexible model structures for LPV identification with static scheduling dependency

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

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A discrete-time linear parameter-varying (LPV) model can be seen as the combination of local LTI models together with a scheduling signal dependent function set, that selects one of the models to describe the continuation of the signal trajectories at every time instant. An identification strategy of LPV models is proposed that consists of the separate approximation of the local model set and the scheduling functions. The local model set is represented as a linear combination (series expansion) of orthonormal basis functions (OBFs). The expansion coefficients are dynamically dependent (weighting) functions of the scheduling parameters (depending on time shifted scheduling). To approximate this dependency class with a static one (non-shifted scheduling), a feedback-based structure of the weighting functions is introduced. The proposed model structure is identified in a two step procedure. First the OBFs, that guarantee the least asymptotic worst-case modeling error for the local models, are selected through the fuzzy Kolmogorov c-Max approach. With the resulting OBFs, the weighting functions are identified through a separable least-squares algorithm. The method is demonstrated by means of simulation examples and analyzed in terms of applicability, convergence, and consistency of the model estimates.
Originele taal-2Engels
TitelProceedings of the 47th IEEE Conference on Decision and Control (CDC 2008), 9-11 December 2008, Cancun, Mexico
Plaats van productiePiscataway
UitgeverijInstitute of Electrical and Electronics Engineers
ISBN van geprinte versie978-1-4244-3123-6
StatusGepubliceerd - 2008
Evenement47th IEEE Conference on Decision and Control (CDC 2008) - Fiesta Americana Grand Coral Beach, Cancún, Mexico
Duur: 9 dec 200811 dec 2008
Congresnummer: 47


Congres47th IEEE Conference on Decision and Control (CDC 2008)
Verkorte titelCDC 2008
AnderIEEE Conference on Decision and Control
Internet adres


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