Robust Optimal Designs for Dynamic Experiments

Abstract

Abstract The quality of experiments designed using standard optimisation-based techniques can be adversely affected by poor starting values of the parameters. Thus, there is a necessity for design methods that are insensitive ( “robust” ) to these starting values. Here, a novel, robust criterion is presented for computing optimal dynamic inputs for experiments aiming at improving parameter precision. The criterion is based on the information matrix derived for dynamic systems. The design problem is cast as an optimal control problem, with a max-min optimisation objective for design robustness. A typical semi-continuous bioreactor application is presented.