Li, Junhong; Ding, Rui Parameter estimation methods for nonlinear systems. (English) Zbl 1417.93108 Appl. Math. Comput. 219, No. 9, 4278-4287 (2013). Summary: This paper discusses parameter estimation problems of nonlinear system modeling. Two model transformation based estimation methods are proposed. The basic idea is to transform a complex nonlinear optimization problem into a linear or simple nonlinear optimization problem which is easy to solve. Then, according to the gradient search principle and the Newton method, a gradient based iterative algorithm and a Newton iterative algorithm are derived to determine the parameters of the nonlinear systems. Finally a numerical example is provided. Cited in 6 Documents MSC: 93B17 Transformations 93A30 Mathematical modelling of systems (MSC2010) 93C10 Nonlinear systems in control theory 65F10 Iterative numerical methods for linear systems Keywords:system modeling; nonlinear systems; parameter estimation; gradient iteration; Newton iteration Software:CARMA PDFBibTeX XMLCite \textit{J. Li} and \textit{R. Ding}, Appl. Math. Comput. 219, No. 9, 4278--4287 (2013; Zbl 1417.93108) Full Text: DOI