A new approach to the solution of free rigid body motion for attitude manoeuvers

Daniele Pagnozzi; Craig David Maclean; James Biggs

A new approach to the solution of free rigid body motion for attitude manoeuvers

Daniele Pagnozzi, Craig David Maclean, James Biggs

Mechanical And Aerospace Engineering

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Abstract

A Hamiltonian formulation of free rigid body motion defined on the Special Unitary Group SU(2) is used to integrate the system to obtain a convenient quaternion representation for attitude engineering applications. Novel content of this paper concerns applying a modern approach, based on geometric control theory to obtain the kinematic solution in an elegant and compact form. Moreover, this integration leads to an attitude representation which is not Euler-angle-like, thus
enhancing its applicability (e.g. to attitude motion design).

Original language	English
Number of pages	6
Publication status	Published - 17 Jul 2013
Event	European Control Conference, ECC 2013 - Zurich, Switzerland Duration: 17 Jul 2013 → 19 Jul 2013

Conference

Conference	European Control Conference, ECC 2013
Country/Territory	Switzerland
City	Zurich
Period	17/07/13 → 19/07/13

Keywords

rigid body motion
Hamiltonian system
special unitary group
attitude engineering
attitude motion design

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Pagnozzi D MacLean C Biggs JD Pure A new approach to the solution of free rigid body motion for attitude manoeuvres Jul 2013Submitted manuscript, 290 KB

Cite this

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title = "A new approach to the solution of free rigid body motion for attitude manoeuvers",

abstract = "A Hamiltonian formulation of free rigid body motion defined on the Special Unitary Group SU(2) is used to integrate the system to obtain a convenient quaternion representation for attitude engineering applications. Novel content of this paper concerns applying a modern approach, based on geometric control theory to obtain the kinematic solution in an elegant and compact form. Moreover, this integration leads to an attitude representation which is not Euler-angle-like, thusenhancing its applicability (e.g. to attitude motion design).",

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AU - Pagnozzi, Daniele

AU - Maclean, Craig David

AU - Biggs, James

PY - 2013/7/17

Y1 - 2013/7/17

N2 - A Hamiltonian formulation of free rigid body motion defined on the Special Unitary Group SU(2) is used to integrate the system to obtain a convenient quaternion representation for attitude engineering applications. Novel content of this paper concerns applying a modern approach, based on geometric control theory to obtain the kinematic solution in an elegant and compact form. Moreover, this integration leads to an attitude representation which is not Euler-angle-like, thusenhancing its applicability (e.g. to attitude motion design).

AB - A Hamiltonian formulation of free rigid body motion defined on the Special Unitary Group SU(2) is used to integrate the system to obtain a convenient quaternion representation for attitude engineering applications. Novel content of this paper concerns applying a modern approach, based on geometric control theory to obtain the kinematic solution in an elegant and compact form. Moreover, this integration leads to an attitude representation which is not Euler-angle-like, thusenhancing its applicability (e.g. to attitude motion design).

KW - rigid body motion

KW - Hamiltonian system

KW - special unitary group

KW - attitude engineering

KW - attitude motion design

UR - http://www.ecc13.ch/

M3 - Paper

T2 - European Control Conference, ECC 2013

Y2 - 17 July 2013 through 19 July 2013

ER -

A new approach to the solution of free rigid body motion for attitude manoeuvers

Abstract

Conference

Keywords

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