A multi-step least-squares method for nonlinear rational models
M Wang, EW Jacobsen, V Chotteau…�- 2019 American�…, 2019 - ieeexplore.ieee.org
M Wang, EW Jacobsen, V Chotteau, H Hjalmarsson
2019 American Control Conference (ACC), 2019•ieeexplore.ieee.orgModels rational in the parameters arise frequently in biosystems and other applications. As
with all models that are non-linear in the parameters, direct parameter estimation, using eg
nonlinear least-squares, can become challenging due to the issues of local minima and
finding good initial estimates. Here we propose a multi-step least-squares method for a class
of nonlinear rational models. The proposed method is applied to an extended Monod-type
model. Numerical simulations indicate that the proposed method is consistent.
with all models that are non-linear in the parameters, direct parameter estimation, using eg
nonlinear least-squares, can become challenging due to the issues of local minima and
finding good initial estimates. Here we propose a multi-step least-squares method for a class
of nonlinear rational models. The proposed method is applied to an extended Monod-type
model. Numerical simulations indicate that the proposed method is consistent.
Models rational in the parameters arise frequently in biosystems and other applications. As with all models that are non-linear in the parameters, direct parameter estimation, using e.g. nonlinear least-squares, can become challenging due to the issues of local minima and finding good initial estimates. Here we propose a multi-step least-squares method for a class of nonlinear rational models. The proposed method is applied to an extended Monod-type model. Numerical simulations indicate that the proposed method is consistent.
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