We present a new approach to parametric robust controller design, where we compute controllers of arbitrary order and structure which minimize the worst-case H∞ norm over a pre-specified set of uncertain parameters. At the core of our method is a nonsmooth minimization method tailored to functions which are semi-infinite minima of smooth functions. A rich test bench and a more detailed example illustrate the potential of the technique, which can deal with complex problems involving multiple possibly repeated uncertain parameters.
@article{arxiv.1405.4202,
title = {Parametric robust structured control design},
author = {P. Apkarian and M. N. Dao and D. Noll},
journal= {arXiv preprint arXiv:1405.4202},
year = {2020}
}