The invention relates to methods, a computer program product and a spacecraft landing system on a celestial body. The inventive method for the numerical calculation of control signals for a spacecraft landing position control apparatus on a celestial body provides for transforming the original non-convex optimal control problem into a convex optimal control problem with discretization of the convex computational problem and the numerical solution of discrete differential and integral equation systems the solution of the optimal control problem occurs. The method is characterized in that for the discretization nodes from the leg of Legendre-Radau polynomials, which represent a linear combination of Legrendre polynomials of different orders, are used.
Sagliano, M. (2017). Landeverfahren und Landesystem.
Landeverfahren und Landesystem
Marco Sagliano
2017
Abstract
The invention relates to methods, a computer program product and a spacecraft landing system on a celestial body. The inventive method for the numerical calculation of control signals for a spacecraft landing position control apparatus on a celestial body provides for transforming the original non-convex optimal control problem into a convex optimal control problem with discretization of the convex computational problem and the numerical solution of discrete differential and integral equation systems the solution of the optimal control problem occurs. The method is characterized in that for the discretization nodes from the leg of Legendre-Radau polynomials, which represent a linear combination of Legrendre polynomials of different orders, are used.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.


