Bearings-Only Rendezvous with Enhanced Performance
Employing only bearing/angular measurements for navigation during the far to medium range rendezvous with a non-cooperative target has several advantages with respect to directly measuring the range using active sensors such as RADAR or LIDAR. Angular measurements can be acquired using simple sensors such as a single optical camera, significantly reducing the mass and power requirements. Nevertheless, several challenges arise form the lack of a direct range measurement, which renders the problem instantaneously unobservable. The execution of known maneuvers is thus necessary to introduce observability in the estimation problem, which results in the navigation performance being directly dependent on the trajectory followed. A few single-maneuver schemes have been proposed to enhance bearings-only navigation performance. Nonetheless, little research has been published on the use of on-line trajectory optimization methods accounting for observability on the complete rendezvous trajectory. This paper presents the non-linear simulation results of a Model Predictive Control architecture for rendezvous that simultaneously enhances bearings-only observability in order to improve navigation performance. A detailed simulation environment provided by Thales Alenia Space France is used to show that the proposed scheme based on linearized equations displays satisfactory performance in a higher fidelity non-linear environment, when observability is considered in the trajectory optimization.
KeywordsTrajectory Optimization Model Predictive Control Navigation Performance Model Predictive Control Algorithm Hold Point
Unable to display preview. Download preview PDF.
- 1.Aida, S., Patzelt, T., Leushacke, L., Kirschner, M., Kiehling, R.: Monitoring and Mitigation of Close Proximities in Low Earth Orbit. In: 21st International Symposium on Space Flight Dynamics, vol. 49 (2009)Google Scholar
- 7.Gaias, G., D’Amico, S., Ardaens, J.-S.: Angles-only Navigation to a Non-Cooperative Satellite using Relative Orbital Elements. In: AIAA/AAS Astrodynamics Specialist Conference, Reston, Virigina. American Institute of Aeronautics and Astronautics (August 2012)Google Scholar
- 9.Grzymisch, J., Fichter, W., Casasco, M., Losa, D.: A Spherical Coordinate Parametrization for an In-Orbit Bearings-Only Navigation Filter. In: Advances in Aerospace Guidance, Navigation and Control, pp. 215–231 (2013)Google Scholar
- 11.Grzymisch, J., Fichter, W.: Observability Criteria and Unobservable Maneuvers for In-Orbit Bearings-Only Navigation. Journal of Guidance, Control, and Dynamics, 1–10 (January 2014)Google Scholar
- 12.Grzymisch, J., Fichter, W.: Optimal Rendezvous Guidance with Enhanced Bearings-Only Observability. Journal of Guidance, Control, and Dynamics (2014) (under review)Google Scholar
- 14.Losa, D., Le-Peuvedic, C.: Simulator of a Chaser and Target Satellite Dynamics in Earth Environment. Thales Alenia Space TR 01 (2014)Google Scholar
- 15.Richards, A., How, J.: Performance Evaluation of Rendezvous Using Model Predictive Control. In: AIAA Guidance, Navigation, and Control Conference and Exhibit, Austin, Texas, pp. 1–9 (August 2003)Google Scholar
- 17.Wassel, D., Buskens, C.: Modeling and Optimization in Space Engineering. Springer Optimization and Its Applications, vol. 73 (2013)Google Scholar
- 18.Wassel, D., Wolff, F., Vogelsang, J., Büskens, C.: The ESA NLP-Solver WORHP – Recent Developments and Applications. In: International Conference on Astrodynamic Tools and Techniques (2012)Google Scholar
- 22.Yim, J.R., Crassidis, J., Junkins, J.L.: Autonomous orbit navigation of two spacecraft system using relative line of sight vector measurements. Advances in the Astronautical Sciences AAS 04-257, 1–14 (2004)Google Scholar