The paper in PDF format and the implemented code in MatLab and LabVIEW are available at
https://yan9a.github.io/DiscreteBacklashOperator/yan-naing-aye-wytu-icstsd-2018.pdf
and
https://github.com/yan9a/DiscreteBacklashOperator
Abstract
A new invertible digitized model called Discrete Backlash Operator is proposed to model complex hysteretic nonlinearities. A discrete backlash operator is formed by combining multiple elementary virtual gears called discrete backlash gears. A discrete backlash operator with n discrete backlash gears has 2 power n possible states. The inverse model of discrete backlash operator is also developed for a feedforward controller to control the piezoelectric actuator.