Evgeny A. Mityushov, Fedor D. Misyura. Calculations of The Shape Trajectories of Vehicles and The Ackermann Principle of Steering

Natural Sciences / Mathematics / Dynamical systems

Submitted on: Apr 06, 2013, 08:49:10

Description: This paper investigates the output of invariant equations connection between the control of a vehicle and the trajectory of its movement. A control function is the angle Ackerman, defined as the difference between the angles of rotation of the front wheels of the car. The relations are illustrated by calculating the radius of the curve of the trajectory of the moving car and the required space for the car to move safely.

Key words: dynamical systems, nonholonomic systems, Ackerman principle of steering, the Ackerman angle, the trajectory of a vehicle, secure position corridor, perfect parking, mobile robots.

The Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.

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Calculations of The Shape Trajectories.pdf

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