The Prandtl–Ishlinskii hysteresis model: fundamentals of the model and its inverse compensator [Lecture notes]

M Al Janaideh, M Al Saaideh… - IEEE Control Systems …, 2023 - ieeexplore.ieee.org
Hysteresis is a nonlinear phenomenon arising in diverse fields such as mechanics, biology,
electronics, and economics (see “Summary”). In particular, hysteresis is ubiquitously …

Adaptive control of positioning systems with hysteresis based on magnetic shape memory alloys

L Riccardi, D Naso, B Turchiano… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
This paper considers a control strategy for systems affected by time-varying hysteretic
phenomena, such as those observed in magnetic shape memory alloys subject to …

Realization of arbitrary hysteresis by a low-dimensional gradient flow

D Rachinskii - arXiv preprint arXiv:1506.03842, 2015 - arxiv.org
We consider gradient systems with an increasing potential that depends on a scalar
parameter. As the parameter is varied, critical points of the potential can be eliminated or …

Hopf bifurcation in symmetric networks of coupled oscillators with hysteresis

Z Balanov, W Krawcewicz, D Rachinskii… - Journal of Dynamics and …, 2012 - Springer
The standard approach to study symmetric Hopf bifurcation phenomenon is based on the
usage of the equivariant singularity theory developed by M. Golubitsky et al. In this paper …

Robust control for shape memory alloy micro-actuators based flap positioning system

Y Feng, CA Rabbath, H Hong… - Proceedings of the …, 2010 - ieeexplore.ieee.org
In this paper, the control approach for a flap positioning based shape memory alloy micro-
actuator is addressed. The challenge here are to model the saturation-type hysteresis in the …

Inverse Duhem model based robust adaptive control for flap positioning system with SMA actuators

Y Feng, CA Rabbath, CY Su - IFAC Proceedings Volumes, 2011 - Elsevier
In this paper, a control approach for a flap positioning system based on shape memory alloy
(SMA) actuators is addressed. SMA actuators are a class of smart materials based actuators …

Experimental characterization and modeling of stress-dependent hysteresis of a giant magnetostrictive actuator

Z Zhang, JQ Mao, KM Zhou - Science China Technological Sciences, 2013 - Springer
The hysteresis nonlinearity of giant magnetostrictive actuator (GMA) is stress-dependent. In
this paper, laboratory experiments were performed to characterize the stress-dependent …

An open-loop control approach for magnetic shape memory actuators considering temperature variations

K Schlüter, L Riccardi, A Raatz - Advances in Science and …, 2013 - Trans Tech Publ
Magnetic shape memory alloys (MSMA) offer remarkable potentials for actuation purposes
because of a large achievable strain and a short response time. But, apart from these …

Inverse hysteresis control for shape memory alloy micro-actuators based flap positioning system

Y Feng, CA Rabbath, H Hong, CY Su… - 49th IEEE Conference …, 2010 - ieeexplore.ieee.org
As a strong non-smooth nonlinearity, hysteresis has multivalued and nondifferential
characteristics, which make it difficult to mitigate the effects caused by the hysteresis directly …

EFFECT OF POSITIVE FEEDBACK ON DEVIL'S STAIRCASE INPUT-OUTPUT RELATIONSHIP.

A Pokrovskii, D Rachinskii - Discrete & Continuous …, 2013 - search.ebscohost.com
We consider emerging hysteresis behaviour in a closed loop system that includes a
nonlinear link f of the Devil's staircase (Cantor function) type and a positive feedback. This …