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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 726945, 11 pages
http://dx.doi.org/10.1155/2013/726945
Research Article

Robust Tracking Control for Rendezvous in Near-Circular Orbits

1Research Center of Satellite Technology, Harbin Institute of Technology, Harbin 150001, China
2Department of Engineering, Faculty of Technology and Science, University of Agder, 4898 Grimstad, Norway

Received 1 October 2013; Revised 6 November 2013; Accepted 6 November 2013

Academic Editor: Rongni Yang

Copyright © 2013 Neng Wan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper investigates a robust guaranteed cost tracking control problem for thrust-limited spacecraft rendezvous in near-circular orbits. Relative motion model is established based on the two-body problem with noncircularity of the target orbit described as a parameter uncertainty. A guaranteed cost tracking controller with input saturation is designed via a linear matrix inequality (LMI) method, and sufficient conditions for the existence of the robust tracking controller are derived, which is more concise and less conservative compared with the previous works. Numerical examples are provided for both time-invariant and time-variant reference signals to illustrate the effectiveness of the proposed control scheme when applied to the terminal rendezvous and other astronautic missions with scheduled states signal.