Non-overshooting output shaping for switched linear systems under arbitrary switching using eigenstructure assignment
Abstract
We consider the analytical control design for a pair of switched linear multiple-input multiple-output (MIMO) systems that are subject to arbitrary switching signals. A state feedback controller design method is proposed to obtain an eigenstructure assignment that ensures that the closed-loop switched system is globally asymptotically stable, and the outputs achieve the non-overshooting tracking of a step reference. Our analysis indicates whether non-overshooting or even monotonic tracking is achievable for the given system and considered outputs and provides a choice of possible eigenstructures to be assigned to the constituent subsystems. We derive a structural condition that verifies the feasibility of the chosen assignment. A constructive algorithm to obtain suitable feedback matrices is provided, and the method is illustrated with numerical examples.
Cite
@article{arxiv.2410.06688,
title = {Non-overshooting output shaping for switched linear systems under arbitrary switching using eigenstructure assignment},
author = {Kai Wulff and Maria Christine Honecker and Robert Schmid and Johann Reger},
journal= {arXiv preprint arXiv:2410.06688},
year = {2026}
}