In this paper we focus on the identification of discrete- time hybrid systems in the Piece-Wise Affine (PWA) form. This problem can be formulated as the recon- struction of a possibly discontinuous PWA map with a multi-dimensional domain. In order to achieve our goal, we propose an algorithm that exploits the com- bined use of clustering; linear identification, and clas- sification techniques. This allows to identlfy both the affine submodels and the polyhedral partition of the do- main on which each submodel is valid.
Identification of piecewise affine and hybrid systems
M Muselli;D Liberati;
2001
Abstract
In this paper we focus on the identification of discrete- time hybrid systems in the Piece-Wise Affine (PWA) form. This problem can be formulated as the recon- struction of a possibly discontinuous PWA map with a multi-dimensional domain. In order to achieve our goal, we propose an algorithm that exploits the com- bined use of clustering; linear identification, and clas- sification techniques. This allows to identlfy both the affine submodels and the polyhedral partition of the do- main on which each submodel is valid.File in questo prodotto:
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