Title :
Real time control of satellite formation reconfiguration based on Gauss Pseudospectral Method
Author :
Chen Zhang ; Zhang Tao
Author_Institution :
Dept. of Autom., Tsinghua Univ., Beijing, China
Abstract :
In this paper, a real-time controller is presented to control the reconfiguration of satellite formation. The control algorithm is based on Gauss Pseudospectral Method (GPM). Different from the way using GPM for trajectory planning, the proposed controller only utilizes the Karush-Kuhn-Tucker (KKT) multipliers generated during GPM. By using costate mapping theory, the initial costate information is obtained, which, together with the Hamilton canonical model, could be conveniently used to compute the optimal control for the formation reconfiguration. To eliminate the errors caused by model linearization and external disturbance, costate information is re-initialized periodically during the control process. The rapid convergence of GPM ensures that the reinitialization will not cause time lag in the real-time control. Also, compared to the conventional formation control methods, the controller does not need a guidance law during the reconfiguration maneuver. The simulations demonstrated the validity of the controller. The reconfiguration of formation can be carried out effectively both in time optimal case and in fuel optimal case.
Keywords :
Gaussian processes; artificial satellites; optimal control; trajectory control; Gauss pseudospectral method; Hamilton canonical model; KKT multipliers; Karush-Kuhn-Tucker multipliers; costate information; costate mapping theory; external disturbance; fuel optimal case; model linearization; optimal control; real time control; reconfiguration control; reconfiguration maneuver; satellite formation reconfiguration; time optimal case; trajectory planning; Gauss Pseudospectral; Optimal control; Real-time control; Reconfiguration; Satellite formation;
Conference_Titel :
Information Science and Control Engineering 2012 (ICISCE 2012), IET International Conference on
Conference_Location :
Shenzhen
Electronic_ISBN :
978-1-84919-641-3
DOI :
10.1049/cp.2012.2335