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This content will become publicly available on July 10, 2025

Title: Minimum-Time Planar Paths with Up to Two Constant Acceleration Inputs and L2 Velocity and Acceleration Constraints
Given starting and ending positions and velocities, L2 bounds on the acceleration and velocity, and the restriction to no more than two constant control inputs, this paper provides routines to compute the minimal-time path. Closed form solutions are provided for reaching a position in minimum time with and without a velocity bound, and for stopping at the goal position. A numeric solver is used to reach a goal position and velocity with no more than two constant control inputs. If a cruising phase at the terminal velocity is needed, this requires solving a non-linear equation with a single parameter. Code is provided on GitHub 1 , extended paper version at [1]. [1] https://github.com/RoboticSwarmControl/MinTimeL2pathsConstraints/  more » « less
Award ID(s):
2130793 1932572 1553063
PAR ID:
10552111
Author(s) / Creator(s):
; ; ; ;
Publisher / Repository:
IEEE
Date Published:
ISBN:
979-8-3503-8265-5
Page Range / eLocation ID:
925 to 930
Subject(s) / Keyword(s):
Three-dimensional displays Codes Closed-form solutions Velocity control
Format(s):
Medium: X
Location:
Toronto, ON, Canada
Sponsoring Org:
National Science Foundation
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