Stability analysis and controller design for a linear system with Duhem hysteresis nonlinearity
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 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.
30 pages
- University of Gronigen Netherlands
- University of Groningen Netherlands
Hysteresis, Stability analysis, Linear systems, Systems and Control (eess.SY), Electrical Engineering and Systems Science - Systems and Control, Closed loop systems, Optimization and Control (math.OC), Negative feedback, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, 34H05, 34C55, 37N35, 70Q05, 47J40, Mathematics - Optimization and Control, Control design, Clocks
Hysteresis, Stability analysis, Linear systems, Systems and Control (eess.SY), Electrical Engineering and Systems Science - Systems and Control, Closed loop systems, Optimization and Control (math.OC), Negative feedback, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, 34H05, 34C55, 37N35, 70Q05, 47J40, Mathematics - Optimization and Control, Control design, Clocks
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!