Linearization in satellite attitude control with modified Rodriguez parameters

摘要

Purpose - The purpose of this paper is to analyze the results of the Jacobian matrix linearization of the satellite attitude dynamics with modifiedrnRodriguez parameters (MRP) as attitude representation.rnDesign/methodology/approach - The satellite dynamics is linearized using Jacobian differentiation around origin and reference values of the MRP.rnThe controller is designed through linear quadratic regulation approach.rnFindings - It is found that, for both cases the overall system converges but there exists a tracking error. The error can be reduced by increasing therncontroller coefficients in both cases however cannot be eliminated. In the case of linearization around zero, the torque requirements are quite higherrnthan the case of linearization around the reference attitude trajectory.rnOriginality/value - The attempt of Jacobian linearization of a satellite dynamics with the MRP as the attitude representation constitutes the value of this paper. In addition, the results obtained in the derivations may be used in future research.