SDRE Based Attitude Control Using Modified Rodriguez Parameters

TL;DR

This paper applies the SDRE method to satellite attitude control using Modified Rodriguez Parameters, demonstrating effective performance and robustness through MATLAB simulations despite the method's complexity.

Contribution

It introduces an SDRE-based attitude control approach with MRP modeling, including interpolation of solutions for nonlinear satellite dynamics.

Findings

Controllers perform satisfactorily in simulations

Robustness against inertial uncertainties demonstrated

Interpolation approach manages nonlinearities effectively

Abstract

The purpose of this paper is to present an application of the State Dependent Riccati Equation (SDRE) method to satellite attitude control where the satellite kinematics is modeled by Modified Rodriguez Parameters (MRP). The SDRE methodology is applicable on special forms of nonlinear systems where satellite model is one of the candidates. It is not easy to find an analytical solution from the SDRE. Thus point wise solutions are interpolated with respect to the operating conditions. The point wise solutions are obtained from the MATLAB algorithms which are derived from the positive definite solutions of the SDRE. The global stability analysis is difficult due to the nature of the methodology. The resultant attitude controllers outside the breakpoints (the selected operating conditions for interpolation) are suboptimal. The performance of the designs is examined by simulations on MATLAB - Simulink environment. The simulation results show that, the designed attitude controllers are working satisfactorily even in the presence of inertial uncertainties.