Validation methods for mathematical models of flexible satellite dynamics
Abstract
The linear equations of the dynamics of a rotating or three axis stabilized satellite are analyzed, using a second order Lagrange, a frequential, modal and a variable state model. Satellite sensor equations are solved. It is shown that satellite nonvibration modes are not observed by accelerometers and gyrometers. A fast Fourier transformation nonparametric method which identifies system order is presented. Parameter identification conditions for a second order model are established, and a maximum likelihood estimate algorithm for model parameters is described. An algorithm which identifies modal vectors and frequencies which intervene in the mode model as state variables, and second order model matrices for each observable mode is shown.
- Publication:
-
Final Report Institut National de Recherche d'Informatique et d'Automatique
- Pub Date:
- 1983
- Bibcode:
- 1983inri.rept.....D
- Keywords:
-
- Dynamic Response;
- Dynamic Structural Analysis;
- Equations Of Motion;
- Fast Fourier Transformations;
- Flexible Spacecraft;
- Laguerre Functions;
- Algorithms;
- Guidance Sensors;
- Mathematical Models;
- Matrix Methods;
- Parameter Identification;
- Launch Vehicles and Space Vehicles