Total stability and integral action for discrete-time nonlinear systems
Systems and Control
2022-10-10 v1 Systems and Control
Abstract
Robustness guarantees are important properties to be looked for during control design. They ensure stability of closed-loop systems in face of uncertainties, unmodeled effects and bounded disturbances. While the theory on robust stability is well established in the continuous-time nonlinear framework, the same cannot be stated for its discrete-time counterpart. In this paper, we propose the discrete-time parallel of total stability results for continuous-time nonlinear system. This enables the analysis of robustness properties via simple model difference in the discrete-time context. First, we study how existence of equilibria for a nominal model transfers to sufficiently similar ones. Then, we provide results on the
Cite
@article{arxiv.2210.03450,
title = {Total stability and integral action for discrete-time nonlinear systems},
author = {Samuele Zoboli and Daniele Astolfi and Vincent Andrieu},
journal= {arXiv preprint arXiv:2210.03450},
year = {2022}
}