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No AccessEngineering Notes

Robust Model Predictive Control for Proximity Operations with Experimental Demonstrations

Published Online:25 Jun 2024https://doi.org/10.2514/1.G008190
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References

  • [1] Quadrelli M. B., Wood L. J., Riedel J. E., McHenry M. C., Aung M., Cangahuala L. A., Volpe R. A., Beauchamp P. M. and Cutts J. A., “Guidance, Navigation, and Control Technology Assessment for Future Planetary Science Missions,” Journal of Guidance, Control, and Dynamics, Vol. 38, No. 7, 2015, pp. 1165–1186. https://doi.org/10.2514/1.G000525 LinkGoogle Scholar

  • [2] Habib T. M. A., “A Comparative Study of Spacecraft Attitude Determination and Estimation Algorithms (A Cost-Benefit Approach),” Aerospace Science and Technology, Vol. 26, No. 1, 2013, pp. 211–215. https://doi.org/10.1016/j.ast.2012.04.005 CrossrefGoogle Scholar

  • [3] Lu P., “Introducing Computational Guidance and Control,” Journal of Guidance, Control, and Dynamics, Vol. 40, No. 2, 2017, p. 193. https://doi.org/10.2514/1.G002745 LinkGoogle Scholar

  • [4] Tsiotras P. and Mesbahi M., “Toward an Algorithmic Control Theory,” Journal of Guidance, Control, and Dynamics, Vol. 40, No. 2, 2017, pp. 1–3. https://doi.org/10.2514/1.G002754 Google Scholar

  • [5] Malyuta D., Yu Y., Elango P. and Açikmese B., “Advances in Trajectory Optimization for Space Vehicle Control,” Annual Reviews in Control, Vol. 52, Jan. 2021, pp. 282–315. https://doi.org/10.1016/j.arcontrol.2021.04.013 CrossrefGoogle Scholar

  • [6] Chai R., Tsourdos A., Savvaris A., Chai S., Xia Y. and Philip Chen C., “Review of Advanced Guidance and Control Algorithms for Space/Aerospace Vehicles,” Progress in Aerospace Sciences, Vol. 122, April 2021, Paper 100696. https://doi.org/10.1016/j.paerosci.2021.100696 CrossrefGoogle Scholar

  • [7] Eren U., Prach A., Koçer B. B., Raković S. V., Kayacan E. and Açıkmeşe B., “Model Predictive Control in Aerospace Systems: Current State and Opportunities,” Journal of Guidance, Control, and Dynamics, Vol. 40, No. 7, 2017, pp. 1541–1566. https://doi.org/10.2514/1.G002507 LinkGoogle Scholar

  • [8] Açikmese B. and Blackmore L., “Lossless Convexification of a Class of Optimal Control Problems with Non-Convex Control Constraints,” Automatica, Vol. 47, No. 2, 2011, pp. 341–347. https://doi.org/10.1016/j.automatica.2010.10.037 CrossrefGoogle Scholar

  • [9] Bemporad A. and Morari M., “Robust Model Predictive Control: A Survey,” Robustness in Identification and Control, edited by Garulli A. and Tesi A., Springer–Verlag, Berlin, 1999, pp. 207–226. CrossrefGoogle Scholar

  • [10] Kouvaritakis B. and Cannon M., “Model Predictive Control: Classical, Robust and Stochastic,” Advanced Textbooks in Control and Signal Processing, 1st ed., Springer, Cham, 2015, pp. 121–144. https://doi.org/10.1007/978-3-319-24853-0 Google Scholar

  • [11] Bonaccorsi G., Quadrelli M. B. and Braghin F., “Dynamic Programming and Model Predictive Control Approach for Autonomous Landings,” Journal of Guidance, Control, and Dynamics, Vol. 45, No. 11, 2022, pp. 2164–2173. https://doi.org/10.2514/1.G006667 LinkGoogle Scholar

  • [12] Heirung T. A. N., Paulson J. A., O’Leary J. and Mesbah A., “Stochastic Model Predictive Control—How Does It Work?,” Computers & Chemical Engineering, Vol. 114, June 2018, pp. 158–170. https://doi.org/10.1016/j.compchemeng.2017.10.026 Google Scholar

  • [13] Löfberg J., “Approximations of Closed-Loop Minimax MPC,” Proceedings of the IEEE Conference on Decision and Control, Vol. 2, Inst. of Electrical and Electronics Engineers, New York, 2003, pp. 1438–1442. Google Scholar

  • [14] Mayne D., Seron M. and Rakovic S., “Robust Model Predictive Control of Constrained Linear Systems with Bounded Disturbances,” Automatica, Vol. 41, No. 2, 2005, pp. 219–224. https://doi.org/10.1016/j.automatica.2004.08.019 CrossrefGoogle Scholar

  • [15] Limon D., Alvarado I., Alamo T. and Camacho E., “Robust Tube-Based MPC for Tracking of Constrained Linear Systems with Additive Disturbances,” Journal of Process Control, Vol. 20, No. 3, 2010, pp. 248–260. https://doi.org/10.1016/j.jprocont.2009.11.007 CrossrefGoogle Scholar

  • [16] Mammarella M., Capello E., Park H., Guglieri G. and Romano M., “Tube-Based Robust Model Predictive Control for Spacecraft Proximity Operations in the Presence of Persistent Disturbance,” Aerospace Science and Technology, Vol. 77, June 2018, pp. 585–594. https://doi.org/10.1016/j.ast.2018.04.009 CrossrefGoogle Scholar

  • [17] Rakovic S. V., “The Implicit Rigid Tube Model Predictive Control,” Automatica, Vol. 157, Nov. 2023, Paper 111234. https://doi.org/10.1016/j.automatica.2023.111234 Google Scholar

  • [18] Frekhaug T., Sanjurjo Rivo M. and Soler M., “Output-Feedback Tube Model Predictive Control for Robust Autonomous Descent and Landing on Asteroid,” Proceedings of the 2022 CEAS EuroGNC Conference, CEAS-GNC-2022-018, May 2022, https://eurognc.ceas.org/archive/EuroGNC2022/html/CEAS-GNC-2022-018.html. Google Scholar

  • [19] Zagaris C., Park H., Virgili-Llop J., Zappulla R., Romano M. and Kolmanovsky I., “Model Predictive Control of Spacecraft Relative Motion with Convexified Keep-Out-Zone Constraints,” Journal of Guidance, Control, and Dynamics, Vol. 41, No. 9, 2018, pp. 1–9. https://doi.org/10.2514/1.G003549 Google Scholar

  • [20] Park H., Zappulla R., Zagaris C., Virgili-Llop J. and Romano M., “Nonlinear Model Predictive Control for Spacecraft Rendezvous and Docking with a Rotating Target,” 27th AAS/AIAA Space Flight Mechanics Meeting, AAS Paper 17-496, 2017. Google Scholar

  • [21] Mayne D., Rakovic S., Findeisen R. and Allgöwer F., “Robust Output Feedback Model Predictive Control of Constrained Linear Systems,” Automatica, Vol. 42, No. 7, 2006, pp. 1217–1222. https://doi.org/10.1016/j.automatica.2006.03.005 CrossrefGoogle Scholar

  • [22] Dong K., Luo J., Dang Z. and Wei L., “Tube-Based Robust Output Feedback Model Predictive Control for Autonomous Rendezvous and Docking with a Tumbling Target,” Advances in Space Research, Vol. 65, No. 4, 2020, pp. 1158–1181. https://doi.org/10.1016/j.asr.2019.11.014 CrossrefGoogle Scholar

  • [23] Subramanian S., Lucia S. and Engell S., “A Novel Tube-Based Output Feedback MPC for Constrained Linear Systems,” 2017 American Control Conference (ACC), Inst. of Electrical and Electronics Engineers, New York, 2017, pp. 3060–3065. https://doi.org/10.23919/ACC39154.2017 Google Scholar

  • [24] Specht C., Bishnoi A. and Lampariello R., “Autonomous Spacecraft Rendezvous Using Tube-Based Model Predictive Control: Design and Application,” Journal of Guidance, Control, and Dynamics, Vol. 46, No. 7, 2023, pp. 1243–1261. https://doi.org/10.2514/1.G007280 LinkGoogle Scholar

  • [25] Bashnick C. and Ulrich S., “Fast Model Predictive Control for Spacecraft Rendezvous and Docking with Obstacle Avoidance,” Journal of Guidance, Control, and Dynamics, Vol. 46, No. 5, 2023, pp. 998–1007. https://doi.org/10.2514/1.G007314 LinkGoogle Scholar

  • [26] Albee K., Oestreich C., Specht C., Teran Espinoza A., Todd J., Hokaj I., Lampariello R. and Linares R., “A Robust Observation, Planning, and Control Pipeline for Autonomous Rendezvous with Tumbling Targets,” Frontiers in Robotics and AI, Vol. 8, Sept. 2021, Paper 641338. https://doi.org/10.3389/frobt.2021.641338 Google Scholar

  • [27] Frekhaug T. A., Sanjurjo-Rivo M. and Soler M., “Output-Feedback Tube Model Predictive Control for Asteroid Circumnavigation and Descent,” Journal of Guidance, Control, and Dynamics, Vol. 46, No. 11, 2023, pp. 2235–2244. https://doi.org/10.2514/1.G007522 LinkGoogle Scholar

  • [28] Zappulla R., Virgili-Llop J., Zagaris C., Park H. and Romano M., “Dynamic Air-Bearing Hardware-in-the-Loop Testbed to Experimentally Evaluate Autonomous Spacecraft Proximity Maneuvers,” Journal of Spacecraft and Rockets, Vol. 54, No. 4, 2017, pp. 825–839. https://doi.org/10.2514/1.A33769 LinkGoogle Scholar

  • [29] Merriaux P., Dupuis Y., Boutteau R., Vasseur P. and Savatier X., “A Study of Vicon System Positioning Performance,” Sensors, Vol. 17, No. 7, 2017, Paper 1591. https://doi.org/10.3390/s17071591 Google Scholar

  • [30] Rakovic S., Kerrigan E., Kouramas K. and Mayne D., “Invariant Approximations of the Minimal Robust Positively Invariant Set,” IEEE Transactions on Automatic Control, Vol. 50, No. 3, 2005, pp. 406–410. https://doi.org/10.1109/TAC.2005.843854 Google Scholar

  • [31] Darup M. S. and Teichrib D., “Efficient Computation of RPI Sets for Tube-Based Robust MPC,” 18th European Control Conference (ECC), Inst. of Electrical and Electronics Engineers, New York, 2019, pp. 325–330. https://doi.org/10.23919/ECC.2019.8796265 Google Scholar

  • [32] Raković S. V., “The Implicit Rigid Tube Model Predictive Control,” Automatica, Vol. 157, Nov. 2023, Paper 111234. https://doi.org/10.1016/j.automatica.2023.111234 Google Scholar

  • [33] Avis D. and Fukuda K., “A Pivoting Algorithm for Convex Hulls and Vertex Enumeration of Arrangements and Polyhedra,” Discrete & Computational Geometry, Vol. 8, No. 3, 1992, pp. 295–313. https://doi.org/10.1007/BF02293050 Google Scholar

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