Flexible model structures for LPV identification with static scheduling dependency

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Abstract

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.
Original languageEnglish
Title of host publicationProceedings of the 47th IEEE Conference on Decision and Control (CDC 2008), 9-11 December 2008, Cancun, Mexico
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages4522-4527
ISBN (Print)978-1-4244-3123-6
DOIs
Publication statusPublished - 2008
Event47th IEEE Conference on Decision and Control (CDC 2008) - Fiesta Americana Grand Coral Beach, Cancún, Mexico
Duration: 9 Dec 200811 Dec 2008
Conference number: 47
http://www.ieeecss.org/CAB/conferences/cdc2008/

Conference

Conference47th IEEE Conference on Decision and Control (CDC 2008)
Abbreviated titleCDC 2008
CountryMexico
CityCancún
Period9/12/0811/12/08
Internet address

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    Toth, R., Heuberger, P. S. C., & Hof, Van den, P. M. J. (2008). Flexible model structures for LPV identification with static scheduling dependency. In Proceedings of the 47th IEEE Conference on Decision and Control (CDC 2008), 9-11 December 2008, Cancun, Mexico (pp. 4522-4527). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2008.4739028