IEEE Transactions on Automatic Control, Vol.50, No.3, 410-416, 2005
An algorithm for sampling subsets of H-infinity with applications to risk-adjusted performance analysis and model (in)validation
In spite of their potential to reduce computational complexity, the use of probabilistic methods in robust control has been mostly limited to parametric uncertainty, since the problem of sampling causal bounded operators is largely open. In this note, we take steps toward removing this limitation by proposing a computationally efficient algorithm aimed at uniformly sampling suitably chosen subsets of H-infinity. As we show in the note, samples taken from these sets can be used to carry out model (in)validation and robust performance analysis in the presence of structured dynamic linear time-invariant uncertainty, problems known to be NP-hard in the number of uncertainty blocks.
Keywords:model (in)validation;risk-adjusted control;robust performance;sampling;structured uncertainty