Systematic performance-oriented guidance tuning for descent & landing on small planetary bodies

Abstract Descent & landing (D&L) on small planetary bodies are scientifically rewarding exploration missions but they are technically challenging due to the complex and poorly-known environment around those bodies. The standard guidance synthesis approach considers nominal conditions and applies optimal control theory to obtain guidance law gains, followed by intensive verification and validation. In this article, it is shown that the standard approach may yield gains that are not optimal once dispersions (and/or other optimality metrics) are taken into account and a tuning approach is then proposed based on a priori methodological system assessment. The proposed approach employs systematic high-fidelity simulations to generate trade-off maps. These maps can be generated by on ground operators based on the best estimated conditions and uploaded to the spacecraft as it approaches the target. The proposed systematic guidance tuning and resulting maps also provide a valuable understanding of the system dynamics towards the application of other industry-oriented tools such as structured ℋ ∞ optimisation. It is shown that the proposed tuning enables propellant consumption reductions of around 40% compared to state-of-practice gain selections.

[1]  Christelle Pittet,et al.  Structured Accelero-Stellar Estimator for Microscope Drag-Free Mission , 2015 .

[2]  R. Battin An introduction to the mathematics and methods of astrodynamics , 1987 .

[3]  J. Gil-Fernández,et al.  Impacting small Near Earth Objects , 2008 .

[4]  A. Ratcliffe,et al.  Phootprint: A European Phobos Sample Return Mission , 2014 .

[5]  Christopher N. D'Souza,et al.  AN OPTIMAL GUIDANCE LAW FOR PLANETARY LANDING , 1997 .

[6]  Andrés Marcos,et al.  Flight testing of an structured H-infinity controller: An EU-Japan collaborative experience , 2017, 2017 IEEE Conference on Control Technology and Applications (CCTA).

[7]  Paul Zarchan,et al.  Tactical and strategic missile guidance , 1990 .

[8]  Pierre Apkarian,et al.  Structured H∞ Synthesis in MATLAB , 2011 .

[9]  Eric Joffre,et al.  Parameterised Laws for Robust Guidance and Control of Planetary Landers , 2017 .

[10]  Masashi Uo,et al.  Hayabusa-final autonomous descent and landing based on target marker tracking , 2006 .

[11]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[12]  Christelle Pittet,et al.  Systematic design methods of robust and structured controllers for satellites , 2015 .

[13]  Stephan Ulamec,et al.  Rosetta Lander: On-Comet Operations Preparation and Planning , 2014 .

[14]  J. Doyle,et al.  Review of LFTs, LMIs, and mu. [Linear Fractional Transformations, Linear Matrix Inequalities , 1991 .

[15]  D. G. Kubitschek Impactor spacecraft targeting for the Deep Impact mission to comet Tempel 1 , 2003 .

[16]  Mattia Zamaro,et al.  Natural motion around the Martian moon Phobos: the dynamical substitutes of the Libration Point Orbits in an elliptic three-body problem with gravity harmonics , 2015 .

[17]  Yanning Guo,et al.  Spacecraft Guidance Algorithms for Asteroid Intercept and Rendezvous Missions , 2012 .

[18]  Joseph E. Riedel,et al.  Optical Navigation for the STARDUST Wild 2 Encounter , 2004 .

[19]  Eric Joffre,et al.  Landing on small bodies trajectory design, robust nonlinear guidance and control , 2017 .

[20]  Dante S. Lauretta,et al.  An Overview of the OSIRIS-REx Asteroid Sample Return Mission , 2012 .

[21]  Pierre Apkarian,et al.  Parametric Robust Structured Control Design , 2014, IEEE Transactions on Automatic Control.

[22]  Eric Joffre,et al.  Synthesis and analysis of robust control compensators for Space descent & landing , 2018 .

[23]  Behrouz Ebrahimi,et al.  Optimal sliding-mode guidance with terminal velocity constraint for fixed-interval propulsive maneuvers , 2008 .

[24]  J. Doyle,et al.  Review of LFTs, LMIs, and mu , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.