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Parameter estimation methods for nonlinear systems. (English) Zbl 1417.93108

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.

MSC:

93B17 Transformations
93A30 Mathematical modelling of systems (MSC2010)
93C10 Nonlinear systems in control theory
65F10 Iterative numerical methods for linear systems

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