Stability Analysis and Controller Design for a Linear System with Duhem Hysteresis Nonlinearity

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...

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Veröffentlicht in:arXiv.org 2012-06
Hauptverfasser: Ouyang, Ruiyue, Jayawardhana, Bayu
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description 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.
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subjects Actuators
Control stability
Control systems design
Dynamic stability
Hysteresis
Stability analysis
title Stability Analysis and Controller Design for a Linear System with Duhem Hysteresis Nonlinearity
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