Validation of continuous-time control models by finite experimental data

This paper develops a theoretical framework, and a computational solution, for the model validation problem in the case where the model, including unknown perturbations and signals, is given in the continuous time, yet the experimental datum is a finite, sampled, signal. The continuous nature of the unknown components is treated directly with a sampled data lifting theory, giving results which are valid for any sample period and any datum length. A common class of robust control models is treated in both open- and closed-loop and yields a convex matrix optimization problem. A simulation example illustrates the approach.