Abstract

This paper presents a new dynamic friction model based on a static friction model and a linear parameter-varying first-order lowpass filter. The static model considers viscous, Coulomb, and Stribeck friction and is defined by continuous functions, yielding a smooth force transition at standstill. The adaptive filter changes its time constant dependent on the actual velocity and supplements the static model with hysteresis and memory effect. The combination of both parts offers a high accuracy in simulations using high sample rates and shows a numerically robust behaviour and a good qualitative representation of the friction for small sample rates, making it applicable for practical control tasks using an observer-based approach.

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