Singularities of optimal attitude motions

J.D. Biggs

Research output: Contribution to conferencePaper

Abstract

This paper considers the problem of planning optimal attitude motions for spacecraft. The extremal solutions that result from this optimization problem are characterized and their singularities identified. Following this these singularities are solved analytically inferring the form of particular optimal velocities. These particular solutions are then integrated and their corresponding motions derived independently of a local coordinate chart. These motions have the potential to be used as smooth, optimal reference trajectories for performing certain re-orientations for spacecraft.

Conference

Conference18th IFAC Symposium on Automatic Control in Aerospace, ACA 2010
CityNara, Japan
Period6/09/1010/09/10

Fingerprint

Spacecraft
Singularity
Motion
Extremal Solutions
Trajectories
Particular Solution
Chart
Planning
Trajectory
Optimization Problem
Form

Keywords

  • motion planning
  • attitude control
  • maximum principle
  • singularities

Cite this

Biggs, J. D. (2010). Singularities of optimal attitude motions. Paper presented at 18th IFAC Symposium on Automatic Control in Aerospace, ACA 2010, Nara, Japan, .
Biggs, J.D. / Singularities of optimal attitude motions. Paper presented at 18th IFAC Symposium on Automatic Control in Aerospace, ACA 2010, Nara, Japan, .
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author = "J.D. Biggs",
year = "2010",
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language = "English",
note = "18th IFAC Symposium on Automatic Control in Aerospace, ACA 2010 ; Conference date: 06-09-2010 Through 10-09-2010",

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Biggs, JD 2010, 'Singularities of optimal attitude motions' Paper presented at 18th IFAC Symposium on Automatic Control in Aerospace, ACA 2010, Nara, Japan, 6/09/10 - 10/09/10, .

Singularities of optimal attitude motions. / Biggs, J.D.

2010. Paper presented at 18th IFAC Symposium on Automatic Control in Aerospace, ACA 2010, Nara, Japan, .

Research output: Contribution to conferencePaper

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AU - Biggs, J.D.

PY - 2010/9/6

Y1 - 2010/9/6

N2 - This paper considers the problem of planning optimal attitude motions for spacecraft. The extremal solutions that result from this optimization problem are characterized and their singularities identified. Following this these singularities are solved analytically inferring the form of particular optimal velocities. These particular solutions are then integrated and their corresponding motions derived independently of a local coordinate chart. These motions have the potential to be used as smooth, optimal reference trajectories for performing certain re-orientations for spacecraft.

AB - This paper considers the problem of planning optimal attitude motions for spacecraft. The extremal solutions that result from this optimization problem are characterized and their singularities identified. Following this these singularities are solved analytically inferring the form of particular optimal velocities. These particular solutions are then integrated and their corresponding motions derived independently of a local coordinate chart. These motions have the potential to be used as smooth, optimal reference trajectories for performing certain re-orientations for spacecraft.

KW - motion planning

KW - attitude control

KW - maximum principle

KW - singularities

UR - http://www.space.t.u-tokyo.ac.jp/aca2010/

M3 - Paper

ER -

Biggs JD. Singularities of optimal attitude motions. 2010. Paper presented at 18th IFAC Symposium on Automatic Control in Aerospace, ACA 2010, Nara, Japan, .