Abstract
A motion planning technique for efficiently generating smooth spacecraft attitude slew manoeuvres is presented. The attitude trajectory (using quaternions) is shaped by a polynomial, determined by matching prescribed boundary conditions and the manoeuvre time. This method allows constraints such as limits on velocity, acceleration, jerk, and torque to be evaluated via inverse dynamics. Pointing constraints are also considered. A spin-to-spin case is presented whereby an axis-azimuth parameterisation is used. The problem of time minimization (within the set of trajectories defined by the given polynomials) is addressed, and a method for analytically estimating the minimum time of a manoeuvre is proposed. The method requires low computational capacity, and a comparison with optimal control solutions shows its relative performance.
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References
Biggs, J.D., Horri, N.: Optimal geometric motion planning for a spin-stabilized spacecraft. Syst. Control Lett. 4 (61), 609–616 (2012)
Bonnamy, O., Bonneau, C., Ecale, E., Denis, M.: Mars express AOCS in-flight behaviour. In: Proceedings of the 6th International ESA Conference on Guidance, Navigation and Control Systems, vol. 33, pp. 17–20 (2006)
Byers, R.M., Vadali, S.R., Junkins, J.L.: Near-minimum time, closed-loop slewing of flexible spacecraft. J. Guid. Control Dyn. (1990). doi:10.2514/3.20517
Cheng, X., Cui, H., Cui, P., Xu, R.: Large angular autonomous attitude maneuver of deep spacecraft using pseudospectral method. In: 3rd International Symposium on Systems and Control in Aeronautics and Astronautics (2010). doi:10.1109/ISSCAA.2010.5632498
Froissart, C., Mechler, P.: On-line polynomial path planning in Cartesian space for robot manipulators. Robotica (1993). doi:10.1017/S0263574700016118
Guan, Y., Yokoi, K., Stasse, O.: On robotic trajectory planning using polynomial interpolations. In: IEEE International Conference on Robotics and Biomimetic, pp. 111–116 (2005)
Hou, H.H.H., Andrews, H.: Cubic splines for image interpolation and digital filtering. IEEE Trans. Acoust. Speech Signal Process. (1978). doi:10.1109/TASSP.1978.1163154
Kim, Y., Mesbahi, M., Singh, G., Hadaegh, F.Y.: On the constrained attitude control problem. In: AIAA Guidance, Navigation, and Control Conference and Exhibit, pp. 10.2514/6.2004–5129 (2004)
Kim, J., Agrawal, B.N.: Experiments on jerk-limited slew maneuvers of a flexible spacecraft. In: AIAA Guidance, Navigation, and Control Conference and Exhibit, pp. 1–20 (2006)
Kjellberg, H.C., Lightsey, E.G.: A constrained attitude control module for small satellites. In: Proceedings of the AIAA/USU Conference on Small Satellites, Series SSC12-XII-1 (2014)
LaValle, S.M.: Planning Algorithms, pp. 3–5. Cambridge University Press, Cambridge (2006)
McInnes, C.R.: Satellite attitude slew manoeuvres using inverse control. Aeronaut. J. 102, 259–265 (1998)
Shuster, M.D.: A survey of attitude representations. J. Astronaut. Sci. (1993). doi:10.2514/6.2012-4422
Singh, G., Kabamba, P.T., Mcclamrochj, N.H.: Bang-bang control of flexible spacecraft slewing maneuvers: guaranteed terminal pointing accuracy. J. Guid. Control Dyn. (1989). doi:10.2514/3.56512
Skaar, S.B., Tang, L.: On-Off attitude control of flexible satellites. J. Guid. Control Dyn. (1986). doi:10.2514/3.20140
Ventura, J., Romano, M., Walter, U.: Performance evaluation of the inverse dynamics method for optimal spacecraft reorientation. Acta Astronaut. (2015). doi:10.1016/j.actaastro.2014.11.041
Wie, B.: Space Vehicle Dynamics and Control, pp. 344–345, 2nd edn. AIAA, Washington (2008)
Zhang, Y., Zhang, J.-R.: Combined control of fast attitude maneuver and stabilization for large complex spacecraft. Acta Mech. Sin. (2013). doi:10.1007/s10409-013-0080-8
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Caubet, A., Biggs, J.D. (2016). An Efficient Sub-optimal Motion Planning Method for Attitude Manoeuvres. In: Gómez, G., Masdemont, J. (eds) Astrodynamics Network AstroNet-II. Astrophysics and Space Science Proceedings, vol 44. Springer, Cham. https://doi.org/10.1007/978-3-319-23986-6_2
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DOI: https://doi.org/10.1007/978-3-319-23986-6_2
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