Identification of Piecewise Affine Systems Using Sum-of-Norms Regularization
2011 (English)In: Proceedings of the 18th IFAC World Congress, 2011, 6640-6645 p.Conference paper (Refereed)
Systems today often consist of logic switches working besides continuous physical systems. The demand for novel hybrid system identification algorithms is therefore of growing interest and essential for the development of control algorithms for this type of systems. An important type of hybrid systems is piecewise affine systems. The identification of piecewise affine systems is here tackled by overparametrizing and assigning a regressor-parameter to each of the observations. The regressor parameters are forced to be the same if that not causes a major increase in the fit term. The formulation takes the shape of a least-squares problem with sum-of-norms regularization over regressor parameter differences, a generalization of l1-regularization. The regularization constant is used to trade off fit and the number of partitions of the model.
Place, publisher, year, edition, pages
2011. 6640-6645 p.
Hybrid systems modeling and control, Nonlinear system identification, Nonparametric methods
IdentifiersURN: urn:nbn:se:liu:diva-60984DOI: 10.3182/20110828-6-IT-1002.00611ISBN: 978-3-902661-93-7OAI: oai:DiVA.org:liu-60984DiVA: diva2:360026
18th IFAC World Congress, Milano, Italy, 28 August-2 September, 2011
FunderSwedish Foundation for Strategic Research Swedish Research Council