eprintid: 2456 rev_number: 6 eprint_status: archive userid: 6 dir: disk0/00/00/24/56 datestamp: 2015-01-12 11:36:39 lastmod: 2015-01-12 11:36:39 status_changed: 2015-01-12 11:36:39 type: book_section metadata_visibility: show creators_name: Lataire, John creators_name: Piga, Dario creators_name: Tóth, Roland creators_id: creators_id: dario.piga@imtlucca.it creators_id: title: Frequency-Domain Least-Squares Support Vector Machines to deal with correlated errors when identifying linear time-varying systems ispublished: pub subjects: QA75 divisions: CSA full_text_status: none keywords: Frequency domain identification; Linear parametrically varying (LPV) methodologies; Nonparametric methods note: 19th IFAC World Congress, Cape Town, South Africa, August 24-29 2014 abstract: A Least-Squares Support Vector Machine (LS-SVM) estimator, formulated in the frequency domain is proposed to identify linear time-varying dynamic systems. The LS-SVM aims at learning the structure of the time variation in a data driven way. The frequency domain is chosen for its superior robustness w.r.t. correlated errors for the calibration of the hyper parameters of the model. The time-domain and the frequency-domain implementations are compared on a simulation example to show the effectiveness of the proposed approach. It is demonstrated that the time-domain formulation is mislead during the calibration due to the fact that the noise on the estimation and calibration data sets are correlated. This is not the case for the frequency-domain implementation. date: 2014 publisher: IFAC pagerange: 10024-10029 id_number: doi:10.3182/20140824-6-ZA-1003.00119 refereed: TRUE issn: 1474-6670 book_title: Proceedings of the 19th IFAC World Congress official_url: http://dx.doi.org/10.3182/20140824-6-ZA-1003.00119 citation: Lataire, John and Piga, Dario and Tóth, Roland Frequency-Domain Least-Squares Support Vector Machines to deal with correlated errors when identifying linear time-varying systems. In: Proceedings of the 19th IFAC World Congress. IFAC, pp. 10024-10029. (2014)