A Jerk Model With Friction for the Speed Produced by an Induction Motor Drive System

Popescu, Marcela; Popescu, Paul; Nicolae, Ileana-Diana; Nicolae, Marian-Stefan; Marinescu, Radu-Florin; Nicolae, Petre-Marian

doi:10.1109/icate.2018.8551398

Cited by 1 publication

(1 citation statement)

References 21 publications

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“…A further instance of damping term is jerk-type friction. In a flat space, such a term has been mentioned, e.g., in [38]. In the present setting, we associate with such kind of friction the differential form −τ⟨∇ v ∇ v v, ⋆⟩, where τ ∈ R is constant, to which corresponds jerk-type friction…”

Section: Non-conservative Forcing Terms and Reduced-order Systemsmentioning

confidence: 99%

A Coordinate-Free Variational Approach to Fourth-Order Dynamical Systems on Manifolds: A System and Control Theoretic Viewpoint

Fiori

2024

Mathematics

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The present paper describes, in a theoretical fashion, a variational approach to formulate fourth-order dynamical systems on differentiable manifolds on the basis of the Hamilton–d’Alembert principle of analytic mechanics. The discussed approach relies on the introduction of a Lagrangian function that depends on the kinetic energy and the covariant acceleration energy, as well as a potential energy function that accounts for conservative forces. In addition, the present paper introduces the notion of Rayleigh differential form to account for non-conservative forces. The corresponding fourth-order equation of motion is derived, and an interpretation of the obtained terms is provided from a system and control theoretic viewpoint. A specific form of the Rayleigh differential form is introduced, which yields non-conservative forcing terms assimilable to linear friction and jerk-type friction. The general theoretical discussion is complemented by a brief excursus about the numerical simulation of the introduced differential model.

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Section: Non-conservative Forcing Terms and Reduced-order Systemsmentioning

confidence: 99%

A Coordinate-Free Variational Approach to Fourth-Order Dynamical Systems on Manifolds: A System and Control Theoretic Viewpoint

Fiori

2024

Mathematics

View full text Add to dashboard Cite

show abstract

A Jerk Model With Friction for the Speed Produced by an Induction Motor Drive System

Cited by 1 publication

References 21 publications

A Coordinate-Free Variational Approach to Fourth-Order Dynamical Systems on Manifolds: A System and Control Theoretic Viewpoint

A Coordinate-Free Variational Approach to Fourth-Order Dynamical Systems on Manifolds: A System and Control Theoretic Viewpoint

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