Time Efficient Robust PID Plus Controller for Satellite Attitude Stabilization Control Considering Angular Velocity and Control Torque Constraint

Abstract

A time efficient robust proportional, integral, differential (PID) plus controller for satellite attitude stabilization control is proposed in this paper. A time efficient sliding mode with two-stage structure is designed to improve the system convergence rate and a standard PID controller is modified to ensure the system state reaches the sliding mode. The controller in this paper does not need an accurate system inertia matrix and is robust to unknown disturbance torque with a norm upper bound. The angular velocity and control torque constraint to ensure the system states do not exceed their upper bound is discussed. A novel method to estimate the norm of angular velocity is proposed. The globally asymptotic stability for all conditions considered in this paper is proved, and the sliding mode state is also proved to have global asymptotic stability. The performance of the controller is demonstrated by simulation results.