Control Design of Nonlinear Spacecraft System Based on Feedback Linearization Approach

Abstract

In this paper, based on simple quadratic matrix algebra, feedback linearization and neural network methods, the kinematics and almost perturbation decoupling and tracking performances of nonlinear spacecraft attitude control represented by improved Rodriguez parameters are studied. A nonlinear robust attitude controller is proposed to ensure the global stability and the almost disturbance decoupling performance without any learning or adaptation rules used in neural network approach and without having to solve the complex Hamilton-Jacobi equation of H-infinity control approach. This study presents an example that cannot be solved by the first paper on the problem of almost disturbance decoupling, to illustrate the point that this method can easily solve the tracking and almost disturbance decoupling performance. In addition, we propose a novel algorithm and two theorems that design a controller with almost disturbance decoupling and tracking performances. On the basis of meeting the standards we proposed, we successfully carried out some simulations on the spacecraft system to solve the effects of external disturbance torques.

Keywords

• Spacecraft system
• almost disturbance decoupling
• feedback linearization approach
• neural network
• quadratic matrix algebra