Stability Analysis and Controller Design for a Linear System with Duhem Hysteresis Nonlinearity
Optimization and Control
2012-06-19 v1 Systems and Control
Abstract
In this paper, we investigate the stability of a feedback interconnection between a linear system and a Duhem hysteresis operator, where the linear system and the Duhem hysteresis operator satisfy either the counter-clockwise (CCW) or clockwise (CW) input-output dynamics. More precisely, we present sufficient conditions for the stability of the interconnected system that depend on the CW or CCW properties of the linear system and the Duhem operator. Based on these results we introduce a control design methodology for stabilizing a linear plant with a hysteretic actuator or sensor without requiring precise information on the hysteresis operator.
Cite
@article{arxiv.1206.3065,
title = {Stability Analysis and Controller Design for a Linear System with Duhem Hysteresis Nonlinearity},
author = {Ruiyue Ouyang and Bayu Jayawardhana},
journal= {arXiv preprint arXiv:1206.3065},
year = {2012}
}
Comments
30 pages