Title :
Identification of piecewise affine and hybrid systems
Author :
Ferrari-Trecate, Giancmlo ; Muselli, Marco ; Liberati, Diego ; Morari, Manfred
Author_Institution :
Inst. fur Automatik, Eidgenossische Tech. Hochschule, Zurich, Switzerland
Abstract :
We focus on the identification of discrete time hybrid systems in the piecewise affine (PWA) form. This problem can be formulated as the reconstruction of a possibly discontinuous PWA map with a multidimensional domain. In order to achieve our goal, we propose an algorithm that exploits the combined use of clustering, linear identification, and classification techniques. This allows one to identify both the affine sub-models and the polyhedral partition of the domain on which each submodel is valid
Keywords :
autoregressive processes; discrete time systems; identification; pattern clustering; clustering; discrete time systems; hybrid systems; identification; linear regression; mixed logic dynamical form; multidimensional domain; piecewise ARX models; piecewise affine form; Bioinformatics; Circuits; Clustering algorithms; Genomics; Logic; Marine technology; Multi-layer neural network; Neural networks; Partitioning algorithms; State estimation;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.946178
