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Hysteresis Systems: Characterization, Modelling, and Control

Call for Papers

Hysteresis system is commonly characterized by the memory effect, where the effects of input to the system are experienced with a certain delay in time and the response does not only depend on the input and output at the current instant but also depend on the history of the input and output. This phenomenon is originated from magnetic, ferromagnetic, and ferroelectric materials and microsliding friction. It is like the elastic property of materials in which a lag occurs between the application and the removal of a force or field and its subsequent effect.

Hysteresis phenomenon might lead to performance degradation, for example, in positioning applications, where the systems involve the nonlinearity. If this phenomenon is neglected, it will give rise to inaccuracy in open loop control and degrades the tracking performance of the system. In a worse case, it could cause undesirable oscillations in the system which could even lead to instability in the closed loop.

The hysteresis phenomenon might exhibit complex behaviours due to its memory effect. This leads to a need of memory stacking in some hysteresis models. Many different models have tried to capture this behaviour, ranging from physics approach and phenomenological approach until black-box approach. An example of the first approach can be seen in generic models that capture some physical properties of the system, which includes stochastic properties of surface asperities, which are used to model hysteresis in frictional forces. On the other hand, disregarding the physical properties, some models are used to represent the input-output relationship using NARX (nonlinear autoregressive exogenous) or NARMAX (nonlinear autoregressive-moving-average model with exogenous inputs). These examples represent the latter class of the black-box approach. In between, there are also some models that try to mathematically capture the hysteresis behaviour from its physical properties. Some examples of this class are Preisach’s, Maxwell-slip, or Bouc-Wen models.

In order to compensate for the error in a system due to a hysteresis phenomenon, accurate models, identification strategy, and effective control are prerequisite. As a consequence of the complex behaviour of hysteresis, linear control strategies are generally unsuitable for providing an optimal performance. If an accurate model of the system using any of the three aforementioned approaches is available, a compensation of the error in the system can be made easily by implementing model-based controllers. However, in some cases, complete characterization of the hysteresis phenomenon on the system is not available. Some nonlinear and adaptive control strategies have been sought to be a potential answer to the problem. Sliding mode, adaptive backstepping, disturbance observer and gain-scheduling are a few among many nonlinear controllers to deal with the problem.

This special issue journal focusses on a mathematical analysis of some systems that involve hysteresis such as in smart materials, magnetic fields, or microsliding friction where hysteresis is dramatically represented as compared to other (geometric nonlinear) systems. This includes original theoretical work and application-based studies on hysteresis encompassing all phenomena associated with mechanical, structural, civil, aeronautical, ocean, electrical, and control systems.

All manuscripts are prereviewed by the editor, and if appropriate, sent for blind peer review. Contributions must be original, not previously or simultaneously published elsewhere, and are critically reviewed before they are published.

Potential topics include but are not limited to the following:

  • Developments of hysteresis and backlash models for mechatronic, electronic, and robotic systems
  • Identification techniques for the hysteresis and backlash models
  • Signal processing technique for hysteresis and backlash systems
  • Compensation control of systems with hysteresis and backlash
  • Ferroelectric materials
  • Frictional hysteresis
  • Hysteresis systems and stability theory
  • Hysteresis nonlinearity modelling and identification with backlash
  • Hysteresis and backlash in magnetic, ferromagnetic, and pneumatic actuators, piezoelectric materials, shape memory alloy, thermal systems cable-driven systems, and flexible and stretchable sensors/actuators
  • Hysteresis and backlash in electronic systems, mechatronics, and robotics

Authors can submit their manuscripts through the Manuscript Tracking System at

Manuscript DueFriday, 3 March 2017
First Round of ReviewsFriday, 26 May 2017
Publication DateFriday, 21 July 2017

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