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Fuel efficient relative orbit control strategies for formation flying and rendezvous within PRISMA
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2006 (English)Conference paper (Refereed)
Abstract [en]

This article will outline the relative orbit control, including guidance and control tasks developed for the PRISMA technology in-orbit formation flying testbed mission. The focus is on real-time implementable solutions, working in arbitrary orbits (0 ≤ e < 1). The algorithms presented are based on linear Model Predictive Control(MPC). The computational heavy part of a MPC approach is usually to setup the matrices, associated with the linear program, if zero order hold discretization methods are used. This article introduces a different approach which uses the state transition matrices developed in [1], that accommodate steps of arbitrary length. This approach allows much larger time steps than the time varying dynamics would allow when zero order hold discretizing the dynamics. The computational complexity will instead depend on the number of state constraints and the number of allowed control inputs. These two factors can be designed to meet real-time execution requirements. The initial tests show that the expected ΔV consumption compares well to previous works in this area with only a small fraction of the computational load. To date, a version of the control algorithm for the Proximity Operations has been implemented and successfully demonstrated in real-time on flight representative hardware as a part of SSC's demonstration at the 6th International ESA Conference on Guidance, Navigation and Control Systems. The maximum processor load increase over one second was about 3%, on a Leon2 processor running at 32 MHz, with code not optimized for computational efficiency.

Place, publisher, year, edition, pages
Univelt Inc., USA , 2006. 25-40 p.
, Advances in the Astronautical Sciences, ISSN 0065-3438 ; 125
Keyword [en]
Algorithms, Computational complexity, Computational efficiency, Linear programming, Model predictive control, Orbits, Computational load, Orbit control, Proximity Operations, State transition matrices, Motion control
National Category
URN: urn:nbn:se:kth:diva-155374ISI: 000242467400003ScopusID: 2-s2.0-34247127831ISBN: 0877035326ISBN: 9780877035329OAI: diva2:761971
Guidance and Control 2006, 4-8 February 2006, Breckenridge, CO, USA

QC 20141110

Available from: 2014-11-10 Created: 2014-11-05 Last updated: 2016-04-18Bibliographically approved

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Larsson, RobinJönsson, Ulf T.
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