2012 IEEE 10th International Symposium on Applied Machine Intelligence and Informatics (SAMI) 2012
DOI: 10.1109/sami.2012.6208995
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Smart technique for identifying hybrid systems

Abstract: The paper describes a system identification method for a nonlinear system based on a multi-point linear approximation. We show that under mild assumptions, the task can be transformed into a series of one-dimensional approximations, for which we propose an efficient solution method based on solving simple nonlinear programs (NLPs). The approach provides identification of nonlinear systems in a polynomial model structure (ARX,OE,BJ) from input-output data. The approximation is based on a neural network modellin… Show more

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Cited by 4 publications
(5 citation statements)
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“…To locate the optimal breakpoints for creating a linear‐piecewise function, a nonlinear programming problem (NLP) must be solved for each operation point. For this purpose, we used a toolbox created in previous studies,() which uses MATLAB's symbolic toolbox and fmincon solver to solve the NLP. For candidate operation points, we have selected two data points for C r ∈ {0,1} and 500 logarithmically distributed data points (from 10 −4 to 5·10 3 ) for FEC 0 .…”
Section: Methodsmentioning
confidence: 99%
“…To locate the optimal breakpoints for creating a linear‐piecewise function, a nonlinear programming problem (NLP) must be solved for each operation point. For this purpose, we used a toolbox created in previous studies,() which uses MATLAB's symbolic toolbox and fmincon solver to solve the NLP. For candidate operation points, we have selected two data points for C r ∈ {0,1} and 500 logarithmically distributed data points (from 10 −4 to 5·10 3 ) for FEC 0 .…”
Section: Methodsmentioning
confidence: 99%
“…After obtaining an appropriate form for approximation, the coefficients a i and b i , and the breakpoints r i , in Equation (A1), can be found by solving a nonlinear programming problem, defined by Equation (A4) for a pre-defined N number of pieces [52]. Therefore, an open-source toolbox, developed by Alexander Szücs et al [64][65][66], is used to determine the unknown parameters. Solutions are given in Tables A4 and A5.…”
Section: Abbreviationsmentioning
confidence: 99%
“…To locate the optimal breakpoints for creating a linearpiecewise function, a nonlinear programming problem (NLP) must be solved for each operation point. For this purpose, we used a toolbox created by Alexander Szücs et al [109][110][111][112] which uses MATLAB's symbolic toolbox and fmincon solver to solve the NLP. For candidate operation points, we have selected two data points for C r ∈ {0, 1}, and 500 logarithmically distributed data points (from 10 −4 to 5 • 10 3 ) for FEC 0 .…”
Section: Calendar Aging Linearizationmentioning
confidence: 99%
“…First, considering the desired accuracy, necessary data points for linear approximation is determined. In this study, although we have selected these data points empirically, one may also consider optimal selection of these points for one dimensional functions as in [109][110][111]164]. The loss function f AC (P AC ) and its approximation based on the selected vertices are given in Figure 5.4 where P AC ≥ 0 indicates charging.…”
Section: Approximation Of Power Electronics Efficiencymentioning
confidence: 99%
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