Time optimal swing-up of the planar pendulum

Paolo Mason; Mireille E. Broucke; Benedetto Piccoli

doi:10.1109/CDC.2007.4434688

Time optimal swing-up of the planar pendulum

Paolo Mason, Mireille E. Broucke, Benedetto Piccoli

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

This paper presents results on the global structure of the time optimal trajectories of the planar pendulum on a cart. Relying on the geometric theory of time optimal synthesis, we provide a discontinuous feedback giving optimal solutions for any initial data.

Original language	English (US)
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Pages	5389-5394
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2007.4434688
State	Published - 2007
Externally published	Yes
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: Dec 12 2007 → Dec 14 2007

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0191-2216

Other

Other	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 12/14/07

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/CDC.2007.4434688

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title = "Time optimal swing-up of the planar pendulum",

abstract = "This paper presents results on the global structure of the time optimal trajectories of the planar pendulum on a cart. Relying on the geometric theory of time optimal synthesis, we provide a discontinuous feedback giving optimal solutions for any initial data.",

author = "Paolo Mason and Broucke, {Mireille E.} and Benedetto Piccoli",

year = "2007",

doi = "10.1109/CDC.2007.4434688",

language = "English (US)",

isbn = "1424414989",

series = "Proceedings of the IEEE Conference on Decision and Control",

pages = "5389--5394",

booktitle = "Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC",

note = "46th IEEE Conference on Decision and Control 2007, CDC ; Conference date: 12-12-2007 Through 14-12-2007",

}

Mason, P, Broucke, ME & Piccoli, B 2007, Time optimal swing-up of the planar pendulum. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434688, Proceedings of the IEEE Conference on Decision and Control, pp. 5389-5394, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434688

TY - GEN

T1 - Time optimal swing-up of the planar pendulum

AU - Mason, Paolo

AU - Broucke, Mireille E.

AU - Piccoli, Benedetto

PY - 2007

Y1 - 2007

N2 - This paper presents results on the global structure of the time optimal trajectories of the planar pendulum on a cart. Relying on the geometric theory of time optimal synthesis, we provide a discontinuous feedback giving optimal solutions for any initial data.

AB - This paper presents results on the global structure of the time optimal trajectories of the planar pendulum on a cart. Relying on the geometric theory of time optimal synthesis, we provide a discontinuous feedback giving optimal solutions for any initial data.

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U2 - 10.1109/CDC.2007.4434688

DO - 10.1109/CDC.2007.4434688

M3 - Conference contribution

AN - SCOPUS:62749124284

SN - 1424414989

SN - 9781424414987

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 5389

EP - 5394

BT - Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC

T2 - 46th IEEE Conference on Decision and Control 2007, CDC

Y2 - 12 December 2007 through 14 December 2007

ER -

Time optimal swing-up of the planar pendulum

Abstract

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All Science Journal Classification (ASJC) codes

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