Parameter estimation methods for nonlinear systems

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.