Optimal Traction Control during High-Speed Maneuvering in Dry Friction Conditions

S. A. Reshmin; Решмин С. А.

doi:10.31857/S0032823523040112

Optimal Traction Control during High-Speed Maneuvering in Dry Friction Conditions

Authors: Reshmin S.A.¹
Affiliations:
1. Ishlinsky Institute for Problems in Mechanics RAS
Issue: Vol 87, No 4 (2023)
Pages: 604-617
Section: Articles
URL: https://ruspoj.com/0032-8235/article/view/675111
DOI: https://doi.org/10.31857/S0032823523040112
EDN: https://elibrary.ru/MKNJAE
ID: 675111

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Abstract

The problem of controlling the direction of the traction force during the motion of an inertial object is considered. The maximal possible value of the traction force is constant and is determined by the maximal dry friction force. At a finite time interval, the problem of bringing an object to a given rectilinear trajectory with simultaneous velocity maximization in the appropriate direction is considered.

Keywords

optimal control, maximum principle, bilinear tangent law, dry friction, wheel systems, high-speed maneuver, motion in a plane

About the authors

S. A. Reshmin

Ishlinsky Institute for Problems in Mechanics RAS

Author for correspondence.
Email: reshmin@ipmnet.ru
Russia, Moscow

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