The problem in parameter identification is to estimate unknown parameters of the dynamic model. (inverse problem). Measurement values of an experiment are given which have been obtained at the l times where .
Measurement values at times are quantities depending on
The efficiency of the numerical computations can be improved if the case of directly measured state variables is treated separately from the case that only functions of them have been measured.
Positive real constants can be used in order to weight the deviations from the -values in the nonlinear least squares objective
The parameters have to minimize subject to the differential-algebraic equations (1), the boundary conditions (2), and the inequality constraints (3).
The resulting nonlinear least squares problem with nonlinear constraints can be solved by either a generalized Gauss-Newton or a Sequential Quadratic Programming Method.