Model Predictive Control with Fatigue-Damage Minimization through the Dissipativity Property of Hysteresis Operators

Barradas Berglind, J., Wisniewski, R. & Jayawardhana, B., Jul-2020, In : European Journal of Control. 54, p. 140-151 12 p.

Research output: Contribution to journalArticleAcademicpeer-review

Copy link to clipboard


  • Model Predictive Control with Fatigue-Damage Minimization through theDissipativity Property of Hysteresis Operators

    Final author's version, 3.09 MB, PDF document

    Embargo ends: 21/11/2021

    Request copy

  • Model predictive control with fatigue-damage minimization through the dissipativity property of hysteresis operators

    Final publisher's version, 2.39 MB, PDF document

    Request copy


In this paper, we propose an approximation method for the well-known fatigue-damage estimation of rainflow counting (RFC) using the dissipativity property of hysteresis operators that can be embedded in model predictive control (MPC) frameworks. Firstly, we revisit results that establish the equivalence between RFC to an energy dissipation property of an infinite-dimensional operator of the Preisach hysteresis model. Subsequently, we approximate the Preisach model using a finite- dimensional differential Duhem hysteresis model and propose an extended MPC scheme that takes into account the dissipated energy of Duhem hysteresis model as a damage proxy in the optimization problem formulation. Lastly, we present an example of control design for damage minimization in the shaft of a wind turbine where we illustrate the proposed strategy.
Original languageEnglish
Pages (from-to)140-151
Number of pages12
JournalEuropean Journal of Control
Publication statusPublished - Jul-2020


  • model predictive control, hysteresis, wind energy, SYSTEMS, STABILITY

ID: 102061317