N. Hanke, Z. Liu and O. Stursberg: On the Synthesis of Stable Switching Dynamics to Approximate Limit Cycles of Nonlinear Oscillators. In: 22nd International Conference on Informatics in Control, Automation and Robotics, Vol. 1, pp. 509-516, 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.

BibTex

@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},
issn={2184-2809},
}

DOI

https://doi.org/10.5220/0013835000003982