Reset control systems: the zero-crossing resetting law
Systems and Control
2021-05-31 v1 Systems and Control
Abstract
A novel representation of reset control systems with a zero-crossing resetting law, in the framework of hybrid inclusions, is postulated. The problems of well-posedness and stability of the resulting hybrid dynamical system are investigated, with a strong motivation in how non-deterministic behavior is accomplished in control practice. Several stability conditions, based on the eigenstructure of matrices related with periods of the reset interval sequences, and on Lyapunov function-based conditions, are developed.
Cite
@article{arxiv.2105.13950,
title = {Reset control systems: the zero-crossing resetting law},
author = {Alfonso Baños and Antonio Barreiro},
journal= {arXiv preprint arXiv:2105.13950},
year = {2021}
}
Comments
29 pages, 11 figures