@inproceedings{Kahl-IFAC-2020, abstract = {In this paper, the problem of order selection for nonlinear dynamical Takagi-Sugeno (TS) fuzzy models is adressed. It is solved by reformulating the TS model in its Linear Parameter Varying (LPV) form and applying an extension of a recently proposed Regularized Least Squares Support Vector Machine (R-LSSVM) technique for LPV models. For that, a nonparametric formulation of the TS identi cation problem is proposed which uses data-dependent basis functions. By doing so, the partition of unity of the TS model is preserved and the scheduling dependencies of the model are obtained in a nonparametric manner. For the local order selection, a regularization approach is used which forces the coeffcient functions of insignifcant values of the lagged input and output towards zero.}, address = {Berlin, Germany}, author = {Kahl, Matthias and Kroll, Andreas}, booktitle = {21th IFAC World Congress}, interhash = {e39dcde9cad061ebab140c7a19ad184c}, intrahash = {7bddbf69780b0f1b0a555f62ef0c7b73}, journal = {IFAC-PapersOnLine}, language = {english}, mrtnote = {peer,SFS_TS}, number = 2, organization = {IFAC}, owner = {duerrbaum}, pages = {1182--1187}, publisher = {Elsevier}, title = {Extending Regularized Least Squares Support Vector Machines for Order Selection of Dynamical Takagi-Sugeno Models}, volume = 53, year = 2020 }