Inverse Optimal Satellite Attitude Control from a Geometric Viewpoint

Nadjim Horri, Phil Palmer, Mark Roberts

Research output: Chapter in Book/Report/Conference proceedingConference proceeding

2 Citations (Scopus)

Abstract

A geometric optimal control approach is presented, which circumvents the tedious task of numerically solving online the partial differential equations of the nonlinear global optimal control problem. In practice, operational satellite attitude control is based on standard non optimal control techniques because of the implementation complexity of nonlinear optimal control. An inverse optimal control approach is therefore proposed, based on phase space geometry. It has the advantages of low implementation complexity and low computational demand. The optimal control objective is to minimise a norm of the control torque subject to a rapidity constraint on the convergence rate of a Lyapunov function. The constraint is that the convergence rate has to exceed that of a given stabilising benchmark controller. Two benchmark controllers are considered: PD and maximum rate sliding mode to illustrate the technique. The proposed optimisation method significantly enhances the torque rapidity trade-off compared to the benchmark controller. The only practical issue is the possibility of torque saturation from certain initial conditions, which is resolved through gain scheduling.
Original languageEnglish
Title of host publicationThe Eleventh IASTED International Conference on Control and Applications CA 2009
PublisherActa Press
Publication statusPublished - Jul 2009
Event11th IASTED International Conference on
Control and Applications CA 2009
- Cambridge university, Cambridge, United Kingdom
Duration: 13 Jul 200915 Jul 2009
https://www.iasted.org/conferences/pastinfo-651.html

Conference

Conference11th IASTED International Conference on
Control and Applications CA 2009
CountryUnited Kingdom
CityCambridge
Period13/07/0915/07/09
Internet address

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  • Cite this

    Horri, N., Palmer, P., & Roberts, M. (2009). Inverse Optimal Satellite Attitude Control from a Geometric Viewpoint. In The Eleventh IASTED International Conference on Control and Applications CA 2009 [651-019] Acta Press.