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Formulation of Fatigue Dynamics as Hybrid Dynamical System for Model Predictive Control

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Abstract The standard fatigue estimation procedure is formulated as a hybrid dynamical system, which subsequently is utilized to calculate an economic terminal cost in MPC. This formulation is enabled by… Click to show full abstract

Abstract The standard fatigue estimation procedure is formulated as a hybrid dynamical system, which subsequently is utilized to calculate an economic terminal cost in MPC. This formulation is enabled by the development of a novel algorithm for continuous stress cycle identification. A second hybrid dynamical system is designed to provide fatigue cost gradients. The formulation turns out to be a powerful generalization of previous fatigue cost formulations, and additionally introduces consideration of past stress into the cost function. Presented closed-loop simulations using a wind turbine model provide insight into the subsystems of the hybrid dynamical system, and show the benefit of memorizing the past.

Keywords: hybrid dynamical; fatigue; formulation; dynamical system; cost

Journal Title: IFAC-PapersOnLine
Year Published: 2020

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