2012/06/14 by Ruiyue Ouyang, Ouyang, Ruiyue, Bayu Jayawardhana +1
Engineering · Materials Science · #34C55 #34H05 #37N35 #47J40 #70Q05 #FOS: Electrical engineering #FOS: Mathematics #Magnetic Properties and Applications #Optimization and Control (math.OC) #Piezoelectric Actuators and Control #Shape Memory Alloy Transformations #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1206.3065
openalex publication_date 2012/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.