Adaptive and Supertwisting Adaptive Spacecraft Orbit Control Around Asteroids
Publication: Journal of Aerospace Engineering
Volume 32, Issue 4
Abstract
This paper addresses the development of control systems for the orbit control of spacecraft around irregularly shaped rotating asteroids with uncertain parameters. The objective is to steer the spacecraft along prescribed orbits. First, a nonlinear adaptive law for orbit control was designed. This was followed by the design of a supertwisting adaptive (STWA) control system. In the closed-loop system, which includes the adaptive law or the STWA law, all the signals remain bounded, and the trajectory tracking error asymptotically converges to zero for any initial condition. Finally, under the assumption of boundedness of the derivative of the uncertain functions of the model in a region of the state space, a supertwisting control (STW) law for finite-time convergence of the trajectory was obtained. Based on the Lyapunov theory, stability properties of the closed-loop systems were analyzed. Simulation results for 433 Eros and Ida asteroids were presented for illustration. The results showed that control of spacecraft along closed orbits or to a fixed point is accomplished using each of these controllers, despite uncertainties in the parameters of the asteroid models.
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Acknowledgments
The authors thank the editor and the reviewers for their valuable suggestions for improving the paper.
References
Bhat, S. P., and D. S. Bernstein. 2005. “Geometric homogeneity with applications to finite-time stability.” Math. Control Signals Syst. 17 (2): 101–127. https://doi.org/10.1007/s00498-005-0151-x.
Broschart, S. B., and D. J. Scheeres. 2005. “Control of hovering spacecraft near small bodies: Application to Asteroid 25143 Itokawa.” J. Guidance Control Dyn. 28 (2): 343–354. https://doi.org/10.2514/1.3890.
Chauvineau, B., P. Farinella, and F. Mignard. 1993. “Planar orbits about a triaxial body: Application to asteroidal satellites.” Icarus 105 (2): 370–384. https://doi.org/10.1006/icar.1993.1134.
Fridman, L., J. A. Moreno, B. Bandyopadhyay, S. Kamal, and A. Chalanga. 2015. “Continuous nested algorithms: The fifth generation of sliding mode controllers.” In Recent advances in sliding modes. Switzerland: Springer.
Furfaro, R., D. Cersosimo, and D. R. Wibben. 2013. “Asteroid precision landing via multiple sliding surfaces guidance techniques.” J. Guidance Control Dyn. 36 (4): 1075–1092. https://doi.org/10.2514/1.58246.
Guelman, M. 2015. “Closed-loop control of close orbits around asteroids.” J. Guidance Control Dyn. 38 (5): 854–860. https://doi.org/10.2514/1.G000158.
Guelman, M. 2017. “Closed-loop control for global coverage and equatorial hovering about an asteroid.” Acta Astronaut. 137: 353–361. https://doi.org/10.1016/j.actaastro.2017.04.035.
Hawkins, M., Y. Guo, and B. Wie. 2012. “ZEM/ZEV feedback guidance application to fuel-optimal orbital maneuvers around an irregular-shaped asteroid.” In Proc., AIAA Guidance Navigation Control Conf. and Exhibit American Institute of Aeronautics and Astronautics, 1–24. Reston, VA: AIAA.
Herrera-Sucarrat, E., P. L. Palmer, and R. M. Roberts. 2013. “Modeling the gravitational potential of a nonspherical asteroid.” J. Guidance Control Dyn. 36 (3): 790–798. https://doi.org/10.2514/1.58140.
Krstic, M., I. Kanellakopoulos, and P. Kokotovic. 1995. Nonlinear and adaptive control design. New York: Wiley.
Kumar, K. D. 2008. “Attitude dynamics and control of satellites orbiting rotating asteroids.” Acta Mech. 198 (1-2): 99–118. https://doi.org/10.1007/s00707-007-0508-y.
Lee, D., A. K. Sanyal, E. A. Butcher, and D. J. Scheeres. 2015. “Finite-time control for spacecraft body-fixed hovering over an asteroid.” IEEE Trans. Aerosp. Electron. 51 (1): 506–520. https://doi.org/10.1109/TAES.2014.140197.
Levant, A. 2005. “Homogeneity approaches to higher-order sliding mode design.” Automatica 41 (5): 823–830. https://doi.org/10.1016/j.automatica.2004.11.029.
Moreno, J. A., and M. Osorio. 2012. “Strict Lyapunov functions for the super-twisting algorithm.” IEEE Trans. Autom. Control 57 (4): 1035–1040. https://doi.org/10.1109/TAC.2012.2186179.
Riverin, J. L., and A. K. Misra. 2002. “Attitude dynamics of satellites orbiting small bodies.” In AIAA/AAS Astrodynamics Specialist Conf. Exhibit. Reston, VA: AIAA.
Sawai, S., D. J. Scheeres, and S. B. Broschart. 2002. “Control of hovering spacecraft using altimetry.” J. Guidance Control Dyn. 25 (4): 786–795. https://doi.org/10.2514/2.4947.
Scheeres, D. J. 1994. “Dynamics about uniformly rotating triaxial ellipsoids: Applications to asteroids.” Icarus 110 (2): 225–238. https://doi.org/10.1006/icar.1994.1118.
Scheeres, D. J., S. J. Ostro, R. S. Hudson, and R. A. Werner. 1996. “Orbits close to asteroid 4769 Castalia.” Icarus 121 (1): 67–87. https://doi.org/10.1006/icar.1996.0072.
Scheeres, D. J., B. G. Williams, and J. K. Miller. 2000. “Evaluation of the dynamic environment of an asteroid: Applications to 433 Eros.” J. Guidance Control Dyn. 23 (3): 466–475. https://doi.org/10.2514/2.4552.
Schub, H., and J. L. Junkins. 2003. Analytical mechanics of space systems. Reston, VA: American Institute of Aeronautics and Astronautics.
Shtessel, Y., C. Edwards, L. Fridman, and A. Levant. 2014. Sliding mode control and observation. New York: Springer.
Tricarico, P., and M. V. Sykes. 2010. “Dynamical environment of Dawn at Vesta.” Planet. Space Sci. 58 (12): 1516–1525. https://doi.org/10.1016/j.pss.2010.07.017.
Wie, B. 2015. Space vehicle guidance, control, and astrodynamics. Reston, VA: AIAA.
Yang, H., X. Bai, and H. Baoyin. 2017. “Finite-time control for asteroid hovering and landing via terminal sliding-mode control.” Acta Astronaut. 132 (Mar): 78–89. https://doi.org/10.1016/j.actaastro.2016.12.012.
Yang, H., and H. Baoyin. 2015. “Fuel-optimal control of soft landing on an irregular asteroid.” IEEE Trans. Aerosp. Electron. Syst. 51 (3): 1688–1697. https://doi.org/10.1109/TAES.2015.140295.
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©2019 American Society of Civil Engineers.
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Received: Aug 9, 2017
Accepted: Feb 11, 2019
Published online: Apr 27, 2019
Published in print: Jul 1, 2019
Discussion open until: Sep 27, 2019
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