Analog cross coupled controller for oscillations: modeling and design via dominant system theory
Systems and Control
2022-03-31 v1 Systems and Control
Abstract
We propose a new analog feedback controller based on the classical cross coupled electronic oscillator. The goal is to drive a linear passive plant into oscillations. We model the circuit as Lur'e system and we derive a new graphical condition to certify oscillations (inverse circle criterion for dominance theory). These conditions are then specialized to minimal control architectures like RLC and RC networks, and are illustrated with an example based on a DC motor model.
Cite
@article{arxiv.2203.16300,
title = {Analog cross coupled controller for oscillations: modeling and design via dominant system theory},
author = {Weiming Che and Thomas Chaffey and Fulvio Forni},
journal= {arXiv preprint arXiv:2203.16300},
year = {2022}
}