International Journal of Aeronautical and Space Sciences

The Korean Society for Aeronautical and Space Sciences (한국항공우주학회)
권호 표지
DOI QR코드

DOI QR Code

Sliding Mode Control for the Configuration of Satellite Formation Flying using Potential Functions

  • Published : 2005.12.31
Download PDF
⟨ Previous Next ⟩

Abstract

Some methods have been presented to avoid collisions among satellites for satellite formation flying mission. The potential function method based on Lyapunov's theory is known as a powerful tool for collision avoidance in the robotic system because of its robustness and flexibility. During the last decade, a potential function has also been applied to UAV's and spacecraft operations, which consists of repulsive and attractive potential. In this study, the controller is designed using a potential function via sliding mode technique for the configuration of satellite formation flying. The strategy is based on enforcing the satellite to move along the gradient of a given potential function. The new scalar velocity function is introduced such that all satellites reach the goal points simultaneously. Simulation results show that the controller drives the satellite toward the desired point along the gradient of the potential function and is robust against external disturbances.

Keywords

References

  1. McInnes, C. R., 'Potential function methods for autonomous spacecraft guidance and control', Advances in Astronautical Sciences, AAS 95-447, 1995, pp. 2093-2109
  2. Johnston, A. G. Y. and McInnes, C. R., 'Autonomous control of a ring of satellites', Advances in Astronautical Sciences, AAS 97-104, 1997, pp. 93-107
  3. Lopez, I. and McInnes, C. R., 'Autonomous rendezvous using artificial potential function guidance', Journal of Guidance, Control, and Dyanmics, Vol. 8, No. 2, 1995, pp. 237-241
  4. Barraquand, J., Kavraki, L., Latombe, J. C., Motwani, R., Li, T. Y. and Raghavan, P., 'A random sampling scheme for path planning', International Journal of Robotics Research, Vol. 16, No. 6, 1997, pp. 759-774 https://doi.org/10.1177/027836499701600604
  5. Singh, G. and Hadaegh, F. Y., 'Collision avoidance guidance for formation flying applications', AIAA Guidance, Navigation and Control Conference and Exhibit, August 6-9, Montreal, Canada, AlAA 2001-4088, 2001
  6. Richards, A., Schouwenaars, T., How, J. P. and Ferson, E., 'Spacecraft trajectory planning with avoidance constraints using mixed-integer linear programming', Journal of Guidance, Control, and Dyanmics, Vol. 25, No. 4, 2002, pp. 755-764 https://doi.org/10.2514/2.4943
  7. Lim, H. C., Bang, H., Park, K. D. and Lee, W. K., 'Optimal formation trajectory-planning using parameter optimization technique', Journal of Astronomy and Space Science, Vol. 21, No. 3, 2004, pp. 209-220
  8. Queiroz, M. S., Kapila, V. and Yan, Q., 'Adaptive nonlinear control of multiple spacecraft formation flying', Journal of Guidance, Control, and Dynamics, Vol. 23, No. 3, 2000, pp. 385-390 https://doi.org/10.2514/2.4549
  9. Gurfil, P., ldan, M. and Kasdin, N. J., 'Adaptive neural control of deep-space formation flying', Journal of Guidance, Control, and Dyanmics, Vol. 26, No. 3, 2003, pp. 491-501 https://doi.org/10.2514/2.5072
  10. Lim, H. C., Bang, H., Park, K. D. and Park, P. H., 'Tracking control design using sliding mode techniques for satellite formation flying', Journal of Astronomy and Space Science, Vol. 20, No. 4, 2003, pp. 365-374
  11. Pongvthithum, R., Veres, S. M., Gabriel, S. B. and Rogers, E., 'Universal adaptive control of satellite formation flying', lnt. J. Control, Vol. 78, No. 1, 2005, pp. 45-52 https://doi.org/10.1080/00207170412331330887
  12. Wong, H., Kapila, V. and Sparks, A. G., 'Adaptive output feedback tracking control of spacecraft formation', lnt. J. Robust and Nonlinear Control, Vol. 12, No. 2, 2002, pp. 117-139 https://doi.org/10.1002/rnc.679
  13. Guldner, J. and Utkin, V. I., 'Sliding mode control for gradient tracking and robot navigation using artificial potential fields', IEEE Trans. Robot. and Automat., Vol. 11, No. 2, 1995, pp, 247-254 https://doi.org/10.1109/70.370505

Cited by

  1. Collision Avoidance Using Linear Quadratic Control in Satellite Formation Flying vol.11, pp.4, 2010, https://doi.org/10.5139/IJASS.2010.11.4.351
  2. Collision Avoidance Maneuver Design for the Multiple Indoor UAV by using AR. Drone vol.42, pp.9, 2014, https://doi.org/10.5139/JKSAS.2014.42.9.752