Frequency domain validation of structured uncertain models. -- A structural tangential Nevanlinna-Pick interpolation approach (Q2744507)

The authors consider the frequency domain validation of structured uncertain models using the structured tangential Nevanlinna-Pick interpolation theory. The model uncertainty includes both the uncertainty part of a nominal model, which is not easy to measure, and the perturbations uncertainty. The combination of identification and validation is a new research object, so, they convert the above problem into finding a feasible solution of a biaffine matrix inequality, which can be solved by a biaffine iteration algorithm. The theoretical analysis shows that the conclusion of whether the uncertain model set can be validated is obtainable in a finite number of steps.