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 differential state variables ,
- the algebraic state variables or
- functions of the state variables .

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.

Tue Feb 1 13:50:42 CET 2000