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Inverse control of systems with hysteresis and creep
Since the beginning of the 1990s, hysteresis operators have been employed on a larger scale for the linearisation of hysteretic transducers. One reason for this is the increasing number of…
Inverse Rate-Dependent Prandtl–Ishlinskii Model for Feedforward Compensation of Hysteresis in a Piezomicropositioning Actuator
- M. Al Janaideh, P. Krejčí
- EngineeringIEEE/ASME Transactions on Mechatronics
- 1 October 2013
Piezomicropositioning actuators, which are widely used in micropositioning applications, exhibit strong rate-dependent hysteresis nonlinearities that affect the accuracy of these micropositioning…
Evolution variational inequalities and multidimensional hysteresis operators.
- P. Krejčí
- Mathematics
- 26 November 2005
Rate independent Kurzweil processes
The Kurzweil integral technique is applied to a class of rate independent processes with convex energy and discontinuous inputs. We prove existence, uniqueness, and continuous data dependence of…
Wellposedness of kinematic hardening models in elastoplasticity
- M. Brokate, P. Krejčí
- Mathematics
- 1998
On considere une famille de lois de comportement elastoplastiques independantes de la vitesse pour le renforcement cinematique non lineaire qui comprend les modeles d'Armstrong-Frederick, Bower et…
Compensation of Complex Hysteresis and Creep Effects in Piezoelectrically Actuated Systems —A New Preisach Modeling Approach
TLDR
Optimal control of ODE systems involving a rate independent variational inequality
- M. Brokate, P. Krejčí
- Mathematics
- 1 November 2012
This paper is concerned with an optimal control problem for a system
of ordinary differential equations with rate independent hysteresis
modelled as a rate independent evolution variational…
The Kurzweil integral and hysteresis
- P. Krejčí
- Mathematics
- 1 December 2006
A hysteresis operator, called the play, with variable (possibly degenerate) characteristics, is considered in the space of right-continuous regulated functions. The Lipschitz continuity of the…
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