Robustifying optimal experiment design for nonlinear, dynamic (bio) chemical systems

D Telen, D Vercammen, F Logist, J Van Impe - Computers & chemical …, 2014 - Elsevier
D Telen, D Vercammen, F Logist, J Van Impe
Computers & chemical engineering, 2014Elsevier
Dynamic experiments that yield as much information as possible are highly valuable for
estimating parameters in nonlinear dynamic processes. Techniques for model-based
optimal experiment design enable to systematically design such experiments. However,
these experiments depend on the current best estimate of the parameters, which are not
necessarily the true values. Consequently, in real experiments (i) the information content
can be lower than predicted and (ii) state constraints can be violated. This paper presents a …
Abstract
Dynamic experiments that yield as much information as possible are highly valuable for estimating parameters in nonlinear dynamic processes. Techniques for model-based optimal experiment design enable to systematically design such experiments. However, these experiments depend on the current best estimate of the parameters, which are not necessarily the true values. Consequently, in real experiments (i) the information content can be lower than predicted and (ii) state constraints can be violated. This paper presents a novel, computationally tractable formulation that enables the robustification of optimally designed experiments with respect to (i) information content and (ii) constraint satisfaction. To this end, the objective function is the expected value of a scalar function of the Fisher information matrix, which is efficiently computed using the sigma point method. This approach already has a robustifying effect. The sigma point method also enables the efficient computation of constraints’ variance–covariance matrix, this can be exploited for further robustification.
Elsevier
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