Journal of Aeronautics & Aerospace Engineering
Open Access

Stabilizing satellite relative motion using low thrust nonlinear time-delay feedback control

International Conference and Exhibition on Satellite

August 17-19, 2015 Houston, USA

Claudiu-Lucian Prioroc

University of Turku, Finland

Posters-Accepted Abstracts: J Aeronaut Aerospace Eng

Abstract :

This paper describes the development of a stabilizing control method for the relative motion between two satellites using continues low thrust. The relative motion of two satellites is considered in the two body problem with J2 perturbation and it is described by the Clohessy�Wiltshire equations. The satellites� orbits are considered to have slightly different periods and inclinations, thus the relative motion between them will not be bounded. To stabilize the relative motion, time delay feedback control is used. The time delay feedback control eliminates the necessity of having a pre-defined reference relative motion to be tracked by the follower satellite, by using the previous relative orbit as a reference for tracking. First we consider the stability in the sense of Lyapunov. Once the Lyapunov function is found, a first order sliding mode time delay feedback controller is developed to stabilize the relative motion, based on the free variable transformation, Lyapunov transformation and considering that the J2 perturbation is bounded. Numerical simulations are used to compare the performance of the developed nonlinear time delay feedback controller with linear feedback time delay control as well as with PD controller. Also it is shown that by using the time delay feedback control one can design artificial reference relative orbits that can be tracked by using feedback control laws. Numerical simulation results prove the effectiveness of bounding the relative motion for long periods of time using the proposed stabilizing method.

Biography :

Email: cllupr@utu.fi