On the Synthesis of Stable Switching Dynamics to Approximate Limit Cycles of Nonlinear Oscillators

Nils Hanke, Zonglin Liu, Olaf Stursberg

2025

Abstract

This paper presents a novel method for approximating periodic behavior of nonlinear systems by use of switching affine dynamics. While previous work on approximating limit cycles by switching systems has been restricted to state space partitions with only two regions or approximations in the plane, this study employs more general partitions in higher-dimensional spaces as well as external signals to develop a scheme for synthesizing models with guaranteed existence of a globally stable limit cycle. The synthesis approach is formulated as a constrained numeric optimization problem, starting from sampled nonlinear dynamics data. It minimizes deviations between this data and the switching affine model’s limit cycle, while satisfying constraints to ensure global stability. The principle and effectiveness of the proposed method is illustrated through examples.

Paper Citation

in Harvard Style

Hanke N., Liu Z. and Stursberg O. (2025). On the Synthesis of Stable Switching Dynamics to Approximate Limit Cycles of Nonlinear Oscillators. In Proceedings of the 22nd International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO; ISBN 978-989-758-770-2, SciTePress, pages 509-516. DOI: 10.5220/0013835000003982

in Bibtex Style

@conference{icinco25,
author={Nils Hanke and Zonglin Liu and Olaf Stursberg},
title={On the Synthesis of Stable Switching Dynamics to Approximate Limit Cycles of Nonlinear Oscillators},
booktitle={Proceedings of the 22nd International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO},
year={2025},
pages={509-516},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013835000003982},
isbn={978-989-758-770-2},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 22nd International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - On the Synthesis of Stable Switching Dynamics to Approximate Limit Cycles of Nonlinear Oscillators
SN - 978-989-758-770-2
AU - Hanke N.
AU - Liu Z.
AU - Stursberg O.
PY - 2025
SP - 509
EP - 516
DO - 10.5220/0013835000003982
PB - SciTePress