Abstract
Integration, test and validation results, in a real-time environment, of a novel concept for spacecraft control are presented in this paper. The proposed method commands simultaneously a group of actuators optimizing a given set of objective functions based on a multiobjective optimization technique. Since close proximity maneuvers play an important role in orbital servicing missions, the entire GNC system has been integrated and tested at a hardware-in-the-loop (HIL) rendezvous and docking simulator known as European Proximity Operations Simulator (EPOS). During the test campaign at EPOS facility, a visual camera has been used to provide the necessary measurements for calculating the relative position with respect to the target satellite during closed-loop simulations. In addition, two different configurations of spacecraft control have been considered in this paper: a thruster reaction control system and a mixed actuators mode which includes thrusters, reaction wheels, and magnetic torqrods. At EPOS, results of HIL closed-loop tests have demonstrated that a safe and stable rendezvous approach can be achieved with the proposed GNC loop.
Similar content being viewed by others
Abbreviations
- AMCM:
-
: Actuators Multiobjective Command Method
- AOCS:
-
: Attitude and Orbit Control System
- CLW:
-
: Clohessy-Wiltshire coordinate frame
- CoM:
-
: Center of Mass
- EPOS:
-
: European Proximity Operations Simulator
- GNC:
-
: Guidance, Navigation and Control
- HIL:
-
: Hardware-in-the-loop
- LEO:
-
: Low Earth Orbit
- MIB:
-
: Minimum Impulse Bit
- OOS:
-
: On-Orbit Servicing
- PID:
-
: Proportional-Integrative-Derivative
- PWPF:
-
: Pulse Width Pulse Frequency
- RCS:
-
: Reaction Control System
- RvD:
-
: Rendezvous and Docking
- SLC:
-
: Smallest Loss Criterion
- A :
-
: Configuration matrix
- F,F a :
-
: Requested and applied force and torque control vector
- \(\dot {h}_{w}\) :
-
: Flywheel inertial torque, Nm
- T c :
-
: Torque command of the controller, Nm
- T m :
-
: Magnetic control torque, Nm
- u :
-
: Thrust time duration, s
- x :
-
: Decision variable vector
- x b :
-
: Best compromise solution
- x ∗ :
-
: Barycenter solution
- Z :
-
: Objective functions vector
- δ :
-
: Nozzle inclination angle, deg
- ω w :
-
: Flywheel angular velocity, rpm
References
Akin, D., Sullivan, B.: A survey of serviceable spacecraft failures. In: AIAA Space 2001 Conference and Exposition, American Institute of Aeronautics and Astronautics, pp. 2001–4540. AIAA (2001)
Basic, M.: On hardware-in-the-loop simulation. In: Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, pp. 3194–3198. IEEE, Seville (2005)
Benninghoff, H., Rems, F., Boge, T.: Development and hardware-in-the-loop test of a guidance, navigation and control system for on-orbit servicing. Acta Astronaut. 102, 67–80 (2014)
Boge, T., Benninghoff, H., Tzschichholz, T.: Hardware-in-the-loop rendezvous simulation using a vision based sensor. In: 8th International ESA Conference on Guidance, Navigation and Control Systems. European Space Agency, ESA, Karlovy (2011)
Boge, T., Benninghoff, H., Zebenay, M., Rems, F.: Using robots for advanced rendezvous and docking simulation. In: Simulation and EGSE facilities for Space Programmes (SESP). SESP, Noordwijk (2012)
Brualdi, R.A.: Introductory Combinatorics, p. 612. Pearson Education, New York (1992)
Bruno, D.: Contigency mixed actuator controller implementation for the dawn asteroid rendezvous spacecraft. In: AIAA 2012 Conference and Exposition, American Institute of Aeronautics and Astronautics, pp. 2012–5289. AIAA, Pasadena (2012)
Chung, C.A.: Simulation Modeling Handbook: A Practical Approach, p. 574. CRC Press LLC, Washington, D.C. (2004)
Cohon, J.L.: Multiobjective Programming and Planning, p. 333. Dover Publications, Mineola (2003)
Collette, Y., Siarry, P.: Multiobjective Optimization: Principles and Case Studies, 1st edn. Springer-Verlag, Berlin (2004). 293 p.
Crawford, B.S.: Configuration design and efficient operation of redundant multi-jet systems. In: AIAA Guidance Control and Flight Mechanics Conference, American Institute of Aeronautics and Astronautics, pp. 69–845. AIAA, Princeton (1969)
Dennehy, C.J.: Spacecraft hybrid (mixed-actuator) attitude control experiences on nasa science missions. In: 9th International ESA Conference on Guidance, Navigation & Control Systems, European Space Agency, pp. 1–16. ESA, Porto (2014)
Ehrgott, M., Gandibleux, X.: Multiple Criteria Optimization. Kluwer Academic Publishers, New York (2003). chapter 8
Fehse, W.: Automated rendezvous and docking of spacecraft. Cambridge University Press, Cambridge (2003)
Ge, S., Cheng, H.: A comparative design of satellite attitude control system with reaction wheel. In: Proceedings of the first NASA/ESA Conference on Adaptive Hardware and Systems, pp. 359–364. IEEE, Istambul (2006)
Gonnaud, J.L., Pascal, V.: Atv guidance navigation and control for rendezvous with iss. In: Proceedings 4th ESA International Conference on Spacecraft Guidance, Navigation and Control System (ESTEC), pp. 501–510. European Space Agency, ESA, Noordwijk (2000). ESA SP-425
Hartley, R., Zisserman, A.: Multiple View Geometry in Computer Vision, 2nd edn. Cambridge University Press, Cambridge (2004)
Jeon, S.W., Jung, S.: Hardware-in-the-loop simulation for the reaction control system using pwm-based limit cycle analysis. IEEE Trans. Control Syst. Technol. 20(2), 538–545 (2012)
Johnson, M.A., Moradi, M.H.: PID Control, p. 543. Springer, London (2005)
Kristiansen, R., Hagen, D.: Modelling of actuator dynamics for spacecraft attitude control. J. Guid. Control Dyn. 32(3), 1022–1025 (2009)
Ley, W., Wittmann, K., Hallmann, W.: Handbook of Space Technology, p. 908. Wiley, United Kingdom (2009)
Ma, O., Flores-Abad, A., Boge, T.: Use of industrial robots for hardware-in-the-loop simulation of satellite rendezvous and docking. Acta Astronaut. 81(1), 335–347 (2012)
Macala, G.A., Lee, A.Y., Wang, E.K.: Feasibility study of two cassini reaction wheel/thruster hybrid controllers. J. Spacecraft Rockets 51(2), 574–585 (2014)
Marler, R.T., Arora, J.S.: Survey of multi-objective optimization methods for engineering. Struct. Multidiscip. Optim. 26(6), 369–395 (2004)
Nash, J.F., Jr.: The bargaining problem. Econometrica 18(2), 155–162 (1950)
Pareto, V.: Manuale de economia politica. Societa Editrice Libraria, New York, translated into English by A. S. Schwier as ”Manual of political economy”, edited by A.S. Schwier and A.N. Page, A.M. Kelley (1992)
Roberts, B.A., Kruk, J.W., Ake, T.B., Englar, T.S., Class, B.F., Rovner, D.M.: Three-axis attitude control with two reaction wheels and magnetic torquer bars. In: AIAA Guidance, Navigation, and Control Conference and Exhibit, American Institute of Aeronautics and Astronautics, pp. 2004–5245. AIAA, Providence (2004)
Rocco, E.M., Souza, M.L.O., Prado, A.F.B.A.: Multi-objective optimization applied to satellite constellations i: Formulation of the smallest loss criterion. In: 54th International Astronautical Congress, American Institute of Aeronautics and Astronautics. AIAA, Bremen (2003)
Rocco, E.M., Souza, M.L.O., Prado, A.F.B.A.: Further application of the smallest loss criterion in the multi-objective optimization of a satellite constellation. In: 56th International Astronautical Congress, American Institute of Aeronautics and Astronautics, pp. 3165–3172. AIAA, Fukuoka (2005)
Rocco, E.M., Souza, M.L.O., Prado, A.F.B.A.: Station keeping of constellations using multiobjective strategies. Math. Probl. Eng. 2013, 1–15 (2013)
Santos, W.G.: Discrete multiobjective optimization applied to the spacecraft actuators command problem and tested in a hardware-in-the-loop rendezvous simulator. Thesis (doctorate in space engineering and technology). National Institute for Space Research (INPE), São José dos Campos (2015)
Santos, W.G., Rocco, E.M., Boge, T., Benninghoff, H., Rems, F.: Multi-objective optimization applied to real-time command problem of spacecraft thrusters. AIAA J. Spacecraft Rockets 52(5), 1407–1416 (2015a)
Santos, W.G., Rocco, E.M., Boge, T., Rems, F., Benninghoff, H.: Discrete multiobjective optimization methodology applied to the mixed actuators problem and tested in a hardware-in-the-loop rendezvous simulator. In: AIAA Guidance, Navigation and Control Conference, American Institute of Aeronautics and Astronautics. AIAA, Kissimmee (2015b)
Sellmaier, F., Boge, T., Spurmann, J., Gully, S., Rupp, T., Huber, F.: On-orbit servicing missions: Challenges and solutions for spacecraft operations. In: SpaceOps 2010 Conference, American Institute of Aeronautics and Astronautics, pp. 2010–2159. AIAA, Alabama (2010)
Shahrokni, A., Drummond, P., Fua, P.: Texture boundary detection for real-time tracking. In: 8th European Conference on Computer Vision, vol. 3022, pp. 566–577. Springer, Berlin Heidelberg (2004)
Sidi, M.J.: Spacecraft Dynamics and Control, p. 432. Cambridge University Press, Cambridge (1997)
Silani, E., Lovera, M.: Magnetic spacecraft attitude control: A survey and some new results. Control Eng. Pract. 13(3), 357–371 (2005)
Silva, N., Martel, F., Delpy, P.: Automated transfer vehicle thrusters selection and management function. In: Proceedings of the 6th International ESA Conference on Guidance, Navigation and Control Systems. ESA, Loutraki. ESA SP-606 (2006)
Sobel, I., Feldman, G.: A 3x3 isotropic gradient operator for image processing. In: A talk at the Stanford Artificial Project, pp. 271–272 (1968)
Stoll, E., Letschnik, J., Walter, U., Artigas, J., Kremer, P., Preusche, C., Hirzinger, G.: On-orbit servicing. IEEE Robot. Autom. Mag. 16(4), 29–33 (2009)
Tewari, A.: Atmospheric and space flight dynamics, 1st edn. Birkhauser, Boston (2007). 556 p.
Tzschichholz, T., Boge, T., Benninghoff, H.: A flexible image processing framework for vision-based navigation using monocular imaging sensors. In: 8th International ESA Conference on Guidance, Navigation & Control Systems, p. 15. Karlovy Vary, Czech Republic (2011)
Tzschichholz, T., Boge, T., Schilling, K.: Relative pose estimation of satellites using pmd-/ccd-sensor data fusion. Acta Astronaut. 109, 25–33 (2015)
Acknowledgments
This research was sponsored by the CAPES Foundation, Ministry of Education of Brazil, process number BEX 3512/13-4. The authors also wish to thank the German Aerospace Center (DLR) and the National Institute for Space Research (INPE) which provided all the necessary support for the development of the work.
Author information
Authors and Affiliations
Corresponding author
Additional information
Dedicated to Toralf Boge (in memoriam)
Rights and permissions
About this article
Cite this article
Gomes dos Santos, W., Marconi Rocco, E., Boge, T. et al. Hardware-in-the-Loop Rendezvous Tests of a Novel Actuators Command Concept. J of Astronaut Sci 63, 287–307 (2016). https://doi.org/10.1007/s40295-016-0094-0
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40295-016-0094-0