Vibration control for a flexible satellite with input constraint based on Nussbaum function via backstepping method

Abstract

In this paper, the vibration control for a flexible satellite subject to input constraint and external disturbance is considered. The symmetrical flexible solar panels are described as symmetrical Euler–Bernoulli beams modelled as partial differential equations (PDEs). By using the backstepping method, a vibration control scheme is designed to regulate the satellite's vibration. An auxiliary system based on a smooth hyperbolic function and a Nussbaum function is designed to satisfy the constrained input. In order to overcome external disturbance, a robust item is introduced. It is proved that the vibration, the constrained input and external disturbance can be handled simultaneously. Simulations results are demonstrated for illustration.