Tuning an H-Infinity Controller with a Given Order and a Structure for Interconnected Systems with Delays
Abstract
An eigenvalue based framework is developed for the H-infinity norm analysis and its norm minimization of coupled systems with time-delays, which are naturally described by delay differential algebraic equations (DDAEs). For these equations H-infinity norms are analyzed and their sensitivity with respect to small delay perturbations is studied. Subsequently, numerical methods for the H-infinity norm computation and for designing controllers minimizing the H-infinity norm with a prescribed structure or order, based on a direct optimization approach, are briefly addressed. The effectiveness of the approach is illustrated with a software demo. The chapter concludes by pointing out the similarities with the computation and optimization of characteristic roots of DDAEs.
Cite
@article{arxiv.2003.12356,
title = {Tuning an H-Infinity Controller with a Given Order and a Structure for Interconnected Systems with Delays},
author = {Suat Gumussoy and Wim Michiels},
journal= {arXiv preprint arXiv:2003.12356},
year = {2020}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2003.09252, arXiv:2003.04695, arXiv:2003.05728