Time-delay Compensation and Stabilization for a Flexible Satellite

This paper investigates two-dimensional manoeuvre of a flexible satellite with time-delay in observation. Considered satellite consists of a rigid hub in center and two flexible appendages. In this paper, an observer and a predictor are developed for compensating time-delay in observation and a controller is developed to eliminate the deformation of two panels. Finally, stability of the system under proposed controller is obtained based on Lyapunov's arguments, and numerical simulation results prove that the developed delay compensation scheme and control method can effectively suppress the vibration of satellite.