A GENERAL STRATEGY FOR PARAMETER-ESTIMATION IN DIFFERENTIAL ALGEBRAIC SYSTEMS

In this paper, a general method is presented for parameter estimation in differential and algebraic equation systems (DAE systems). It is more specifically developed for the kinetic parameter estimation of an isothermal batch reactor kinetic model. How to improve the Gauss-Newton method used for parameter estimation in the context of dynamic simulation involving DAE systems is shown. Emphasis is put on the calculation and conditioning of the Gauss-Newton operator. At the minimum, the joint linearized confidence region is evaluated and used to discriminate among rival models. The given methodology has been applied to determine a suitable Langmuir-Hinshelwood model for multiple catalytic hydrogenations.