This article presents a new fractional-order normalized Bouc–Wen (BW) (FONBW) model to describe the asymmetric and rate-dependent hysteresis nonlinearity of piezoelectric actuators (PEAs). In view fact that classical BW (CBW) is only efficient for symmetric rate-independent description, FONBW devoted characterizing behaviors in PEAs by adopting an <inline-formula xmlns:mml="http://www.w3.org/19...

Most studies tackling hysteresis identification in the technical literature follow white-box approaches, i.e. they rely on the assumption that measured data obey a specific hysteretic model. Such an assumption may be a hard requirement to handle in real applications, since hysteresis is a highly individualistic nonlinear behaviour. The present paper adopts a black-box approach based on nonlinea...

J.L. Andersen proved that there is 5-torsion in the bottom nonvanishing homology group of the simplicial complex of graphs of degree at most two on seven vertices. We use this result to demonstrate that there is 5-torsion also in the bottom nonvanishing homology group of the matching complex M14 on 14 vertices. Combining our observation with results due to Bouc and to Shareshian and Wachs, we c...

In this paper the vibration suppression problem relative to the vertical motion of road vehicles is investigated. In particular, the goal of the research is to design control laws for active suspension systems of road vehicles in order to reduce unwanted vibrations induced by a rough road profile. The road vehicle has been represented with a quarter-car model whereas the suspension system has b...

The tracking control accuracy of the piezoelectric actuator (PEA) is limited due to its inherent hysteresis nonlinearity. A new piezoelectric-actuator model is synthesized based on two first-order transfer systems in parallel with two tuned parameters determined from one experiment. Two open-loop tracking controllers are implemented with the proposed model to compensate the hysteresis of linear...

Magnetorheological elastomer (MRE) base isolator is a new semi-active control device that has recently acquired more attention. This paper proposes a new model for MRE base isolator to portray the nonlinear hysteresis between generated force and the displacement. In this model, a hyperbolic expression is proposed to compare with the classical Bouc-Wen model, which includes internal dynamics rep...

To compensate for missing functions of lower extremity amputees, this paper proposes a model of an intelligent bionic leg semi-actively controlled by a magnetorheological damper (MRD). A mechanical structure of the leg is designed, and with the help of Bouc-Wen model, a MRD forward dynamics model is constructed for simulation. On the basis of data obtained from simulations, the MRD inverse dyna...