We derive novel criteria for designing stabilizing dynamic output-feedback controllers for a class of aperiodic impulsive systems subject to a range dwell-time condition. Our synthesis conditions are formulated as clock-dependent linear matrix inequalities (LMIs) which can be solved numerically, e.g., by using matrix sum-of-squares relaxation methods. We show that our results allow us to design dynamic output-feedback controllers for aperiodic sample-data systems and illustrate the proposed approach by means of a numerical example.
@article{arxiv.1910.03486,
title = {Output-Feedback Synthesis for a Class of Aperiodic Impulsive Systems},
author = {Tobias Holicki and Carsten W. Scherer},
journal= {arXiv preprint arXiv:1910.03486},
year = {2022}
}