Optimization and Sensitivity Analysis of Trajectories for Autonomous Small Celestial Body Operations
by , , ,
Abstract:
Within this paper, a method for on-board trajectory calculation in the vicinity of a small celestial body is introduced. Therefor, high precision methods of nonlinear optimization and optimal control are used. Additionally, a parametric sensitivity analysis is implemented. This tool allows to approximate a perturbed optimal solution in case of model parameter deviations from nominal values without noticeable computational effort. Parametric sensitivity analysis is a recent research area of great interest. Parameter perturbations that occur in the dynamic of the system as well as in boundary conditions or in state and control constraints can be analyzed. Thus, additional stability information is provided. Furthermore, the fast and reliable approximation of perturbed controls can be used for real-time control in time critical navigation phases.
Reference:
Optimization and Sensitivity Analysis of Trajectories for Autonomous Small Celestial Body Operations (A. Schattel, A. Cobus, M. Echim, C. Büskens), In Progress in Industrial Mathematics at ECMI 2016 (Peregrina Quintela, Patricia Barral, Dolores G\'ømez, Francisco J. Pena, Jer\'ønimo Rodríguez, Pilar Salgado, Miguel E. Vazquez-Mendez, eds.), Springer, volume 26, 2017.
Bibtex Entry:
@inproceedings{schattel2017optimization,
  title        = {Optimization and Sensitivity Analysis of Trajectories for Autonomous Small Celestial Body Operations},
  author       = {Schattel, A. and Cobus, A. and Echim, M. and B{\"u}skens, C.},
  booktitle    = {Progress in Industrial Mathematics at ECMI 2016},
  year         = {2017},
  volume       = {26},
  organization = {ECMI 2016},
  publisher    = {Springer},
  editor       = {Peregrina Quintela and Patricia Barral and Dolores G{\'{\o}}mez and Francisco J. Pena and Jer{\'{\o}}nimo Rodr{\'{\i}}guez and Pilar Salgado and Miguel E. Vazquez-Mendez},,
  doi          = {10.1007/978-3-319-63082-3_105},
  url          = {10.1007/978-3-319-63082-3_105">https://doi.org/10.1007/978-3-319-63082-3_105},
  abstract     = {Within this paper, a method for on-board trajectory calculation in the vicinity of a small celestial body is introduced. Therefor, high precision methods of nonlinear optimization and optimal control are used.
Additionally, a parametric sensitivity analysis is implemented. This tool allows to approximate a perturbed optimal solution in case of model parameter deviations from nominal values without noticeable computational effort.
Parametric sensitivity analysis is a recent research area of great interest. Parameter perturbations that occur in the dynamic of the system as well as in boundary conditions or in state and control constraints can be analyzed.
Thus, additional stability information is provided. Furthermore, the fast and reliable approximation of perturbed controls can be used for real-time control in time critical navigation phases.}
}