Analytic Solution of the Time-Optimal Control of a Double Integrator from an Arbitrary State to the State-space Origin
Optimization and Control
2019-09-10 v1 Systems and Control
Systems and Control
Dynamical Systems
Abstract
This brief note presents known results about the minimum-time control of a double integrator system from an arbitrary initial state to the state-space origin (minimum-time regulation problem, or special problem). The main purpose of this note is didactical. Results are presented in all details and following a step by step procedure.
Keywords
Cite
@article{arxiv.1909.03192,
title = {Analytic Solution of the Time-Optimal Control of a Double Integrator from an Arbitrary State to the State-space Origin},
author = {Marcello Romano and Fabio Curti},
journal= {arXiv preprint arXiv:1909.03192},
year = {2019}
}
Comments
5 pages, 1 figure, 3 tables