Non-overshooting output shaping for switched linear systems under arbitrary switching using eigenstructure assignment
<|reference_start|>Non-overshooting output shaping for switched linear systems under arbitrary switching using eigenstructure assignment: 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.<|reference_end|>
@article{wulff2024non-overshooting,
    title={Non-overshooting output shaping for switched linear systems under
  arbitrary switching using eigenstructure assignment},
    author={Kai Wulff, Maria Christine Honecker, Robert Schmid and Johann Reger},
    journal={arXiv preprint arXiv:2410.06688},
    year={2024},
    archivePrefix={arXiv},
    eprint={2410.06688},
    primaryClass={eess.SY cs.SY}
}