G. Ferrari-Trecate, M. Muselli, D. Liberati, and M. Morari. A clustering technique for the identification of piecewise affine and hybrid systems. Technical Report AUT00-21, Automatic Control Lab, ETH Zurich, Switzerland, 2000. http://control.ethz.ch/
In this paper we focus on the identification of discrete-timehybrid systems in the Piece-Wise Affine (PWA) form. This problemcan be formulated as the reconstruction of a possiblydiscontinuous PWA map with a multi-dimensional domain. In order toachieve our goal, we propose an algorithm that exploits thecombined use of clustering, linear identification, andclassification techniques. This allows to identify both the affinesubmodels and the polyhedral partition of the domain on which eachsubmodel is valid.