Lie group projection operator approach: optimal control on TSO(3)

A. Saccon; A.P. Aguiar; J. Hauser

doi:10.1109/CDC.2011.6160672

Lie group projection operator approach: optimal control on TSO(3)

A. Saccon, A.P. Aguiar, J. Hauser

Dynamics and Control

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

15 Citations (Scopus)

12 Downloads (Pure)

Abstract

The Lie group projection operator approach is an iterative scheme for solving continuous-time optimal control problems on Lie groups. This work details the approach for optimal control problems on T SO(3), the tangent bundle of the special orthogonal group SO(3). The dynamics of a rigid satellite is used as illustrative example. Numerical simulations are presented and discussed.

Original language	English
Title of host publication	Proceedings of 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), 12-15 December 2011, Orlando, Florida
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	6973-6978
ISBN (Print)	978-1-61284-799-3
DOIs	https://doi.org/10.1109/CDC.2011.6160672
Publication status	Published - 2011

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10.1109/CDC.2011.6160672

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title = "Lie group projection operator approach: optimal control on TSO(3)",

abstract = "The Lie group projection operator approach is an iterative scheme for solving continuous-time optimal control problems on Lie groups. This work details the approach for optimal control problems on T SO(3), the tangent bundle of the special orthogonal group SO(3). The dynamics of a rigid satellite is used as illustrative example. Numerical simulations are presented and discussed.",

author = "A. Saccon and A.P. Aguiar and J. Hauser",

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language = "English",

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Saccon, A, Aguiar, AP & Hauser, J 2011, Lie group projection operator approach: optimal control on TSO(3). in Proceedings of 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), 12-15 December 2011, Orlando, Florida. Institute of Electrical and Electronics Engineers, Piscataway, pp. 6973-6978. https://doi.org/10.1109/CDC.2011.6160672

Lie group projection operator approach: optimal control on TSO(3). / Saccon, A.; Aguiar, A.P.; Hauser, J.
Proceedings of 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), 12-15 December 2011, Orlando, Florida. Piscataway: Institute of Electrical and Electronics Engineers, 2011. p. 6973-6978.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AU - Saccon, A.

AU - Aguiar, A.P.

AU - Hauser, J.

PY - 2011

Y1 - 2011

N2 - The Lie group projection operator approach is an iterative scheme for solving continuous-time optimal control problems on Lie groups. This work details the approach for optimal control problems on T SO(3), the tangent bundle of the special orthogonal group SO(3). The dynamics of a rigid satellite is used as illustrative example. Numerical simulations are presented and discussed.

AB - The Lie group projection operator approach is an iterative scheme for solving continuous-time optimal control problems on Lie groups. This work details the approach for optimal control problems on T SO(3), the tangent bundle of the special orthogonal group SO(3). The dynamics of a rigid satellite is used as illustrative example. Numerical simulations are presented and discussed.

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DO - 10.1109/CDC.2011.6160672

M3 - Conference contribution

SN - 978-1-61284-799-3

SP - 6973

EP - 6978

BT - Proceedings of 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), 12-15 December 2011, Orlando, Florida

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

ER -

Lie group projection operator approach: optimal control on TSO(3)

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