Analytic Solution of the Time-Optimal Control of a Double Integrator from an Arbitrary State to the State-space Origin

Marcello Romano; Fabio Curti

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arXiv · 1909.03192

Analytic Solution of the Time-Optimal Control of a Double Integrator from an Arbitrary State to the State-space Origin

Marcello Romano·Fabio Curti

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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.

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BibTeX RIS

Marcello Romano, Fabio Curti. 2019-09-07. Analytic Solution of the Time-Optimal Control of a Double Integrator from an Arbitrary State to the State-space Origin. https://arxiv.org/abs/1909.03192

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