Exploiting structure in piecewise affine identification of LFT systems
نویسندگان
چکیده
منابع مشابه
Identification of Piecewise Affine and Hybrid Systems
In this paper we focus on the identification of discrete-time hybrid systems in the Mixed-Logic Dynamical (MLD)/Piece-Wise Affine (PWA) form. This problem can be formulated as the reconstruction of a possibly discontinuous PWA map with a multi-dimensional domain. In order to achieve our goal, we propose an algorithm that exploits the combined use of clustering, linear identification, and classi...
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Piecewise affine systems serve as an important approximation of nonlinear systems. The identification of piecewise affine systems is here tackled by overparametrizing and assigning a regressor-parameter to each of the observations. Regressor parameters are then 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 w...
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Approaches for the identification of piecewise affine systems are presented. The identification problem for piecewise affine systems is formulated as a smooth constrained, and a nonsmooth unconstrained optimization problem. The main advantage of the new problem formulations is the fact that no mixed integer problems have to be solved within this method. The feasibility and performance of the pr...
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ژورنال
عنوان ژورنال: IFAC Proceedings Volumes
سال: 2009
ISSN: 1474-6670
DOI: 10.3182/20090706-3-fr-2004.00096