relation: http://eprints.imtlucca.it/469/
title: Identification of piecewise affine systems via mixed-integer programming
creator: Roll, Jacob
creator: Bemporad, Alberto
creator: Ljung, Lennart
subject: QA75 Electronic computers. Computer science
description: This paper addresses the problem of identification of hybrid dynamical systems, by focusing the attention on hinging hyperplanes and Wiener piecewise affine autoregressive exogenous models, in which the regressor space is partitioned into polyhedra with affine submodels for each polyhedron. In particular, we provide algorithms based on mixed-integer linear or quadratic programming which are guaranteed to converge to a global optimum. For the special case where the estimation data only seldom switches between the different submodels, we also suggest a way of trading off between optimality and complexity by using a change detection approach.
publisher: Elsevier
date: 2004-01
type: Article
type: PeerReviewed
identifier:   Roll, Jacob and Bemporad, Alberto and Ljung, Lennart  Identification of piecewise affine systems via mixed-integer programming.  Automatica, 40 (1).  pp. 37-50.  ISSN 0005-1098      (2004)  
relation: http://www.sciencedirect.com/science/article/pii/S000510980300270X
relation: 10.1016/j.automatica.2003.08.006