Worst-case analysis of finite-time control policies

Finite-time control policies are common in batch and semi-batch operations. A novel approach is proposed that quantifies the impact of parameter and control implementation inaccuracies on the performance of such control policies. This information can be used to decide whether more experiments are needed to produce parameter estimates of higher accuracy, or to define performance objectives for the lower level control loops that implement the control trajectory. The approach is evaluated through application to the multidimensional growth of crystals used in nonlinear optics applications, where the nominal parameters and uncertainties are quantified from experimental data. Robustness estimates are provided with reasonable computational requirements.