Ferroelectric materials are attractive for use in a wide range of applications due to their unique transduction capabilities. However, taking full advantage of these capabilities requires a control design which accounts for the materials’ inherent hysteretic behavior. A common approach is to partially cancel the hysteretic effects in the system by employing an approximate inversion algorithm in...

This article introduces straightforward techniques for modeling, identification and inversion of a class of hysteretic systems. The assumed model structure consists of the parametric hysteresis operator and an input or output shaping function. The parametric hysteresis operator isolates the most general multi-valued hysteretic behavior in a well-defined operator form, while the remaining biject...

A class of RC-OTA hysteretic-chaotic oscillators has been previously reported using electronics; therefore, hysteresis is realized by an electronic circuit. To obtain a mathematical model of this RC-OTA chaotic-electronic device, hysteresis modeling turns an important issue. Here, we develop a new mathematical hysteretic model proposing a new jounce-chaotic oscillator. Chaosity test is proved u...

A disturbance rejection based control approach, active disturbance rejection control (ADRC), is proposed for hysteretic systems with unknown characteristics. It is an appealing alternative to hysteresis compensation because it does not require a detailed model of hysteresis, by treating the nonlinear hysteresis as a common disturbance and actively rejecting it. The stability characteristic of t...

Experimental studies were conducted by some researchers to investigate the cyclic performance of CFSretrofitted columns; however there is a need to develop analytical methods which can simulate its hysteretic response. This study presents an analysis of the hysteretic behavior of CFS-retrofitted reinforced concrete circular columns. Fiber element analysis was conducted based on cyclic constitut...

Experiments in drums or cylinders partly filled with a granular system and rotated constantly about their horizontally aligned axis of symmetry show a hysteretic transition from discrete avalanches to continuous flow if the rotation rate is adiabatically changed. Herein, we show that this hysteresis can be explained by the impact of global Langevin-type fluctuations in a recently proposed minim...

We show that the coupling of simple dynamical systems with a typical model for hysteresis, the Preisach model, leads to interesting new scenarios in nonlinear dynamics. The Preisach model is known from many branches of science to be a universal model for complex, non-local hysteresis. We provide results for three cases, for two, where the Preisach model simply acts as hysteretic transducer for ...

The Derjaguin-Broekhoff-de Boer theory of capillary condensation is employed to describe deformation of mesoporous solids in the course of adsorption-desorption hysteretic cycles. We suggest a thermodynamic model, which relates the mechanical stress induced by the adsorbed phase to the adsorption isotherm. Analytical expressions are derived for the dependence of the solvation pressure on the va...

The recently proposed hysteretic optimization (HO) procedure is applied to the 1D Ising spin chain with long range interactions. To study its effectiveness, the quality of ground state energies found as a function of the distance dependence exponent, σ, is assessed. It is found that the transition from an infinite range to a long range interaction at σ = 0.5 is accompanied by a sharp decrease i...