Nonlinear observers for spacecraft attitude estimation in case of yaw angle measurement absence

This paper provides a brief presentation and a useful comparison between two nonlinear observers Extended Kalman Filter (EKF) and sliding mode observer (SMO). Both can be used for moderate-accuracy attitude determination systems for Low Earth Orbit (LEO) Earth-pointing spacecraft (s/c), which is typically achieved using Gyroscopes, Earth, and Sun sensors for attitude sensing. The use of these observers provides a substitute for the yaw data in case of the s/c eclipse periods or limited field of views. The nonlinear observability for this system is analytically investigated via the calculation of Lie derivatives to check the possibility of the system states estimation. The performances of both observers are presented, the SMO stability is proved and the SMO enhanced estimates are shown by simulation.

[1]  Thomas Bak,et al.  Spacecraft Attitude Determination: A Magnetometer Approach , 1999 .

[2]  F. Markley,et al.  Unscented Filtering for Spacecraft Attitude Estimation , 2003 .

[3]  James R. Wertz,et al.  Spacecraft attitude determination and control , 1978 .

[4]  J. Hedrick,et al.  Nonlinear Observers—A State-of-the-Art Survey , 1989 .

[6]  Taeyoung Lee,et al.  Deterministic Global Attitude Estimation , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[7]  S. Haykin Kalman Filtering and Neural Networks , 2001 .

[8]  John Y. Hung,et al.  Variable structure control: a survey , 1993, IEEE Trans. Ind. Electron..

[9]  Shih-Che Lo,et al.  Sliding-Mode Controller Design for Spacecraft Attitude Tracking Maneuvers , 1993, 1993 American Control Conference.

[10]  Mohinder S. Grewal,et al.  Kalman Filtering: Theory and Practice Using MATLAB , 2001 .

[11]  Vadim I. Utkin,et al.  A control engineer's guide to sliding mode control , 1999, IEEE Trans. Control. Syst. Technol..

[12]  Katsuhiko Ogata,et al.  Modern Control Engineering , 1970 .

[13]  Y. Shtessel,et al.  A de-coupled sliding mode controller and observer for satellite attitude control , 1997, Proceedings The Twenty-Ninth Southeastern Symposium on System Theory.

[14]  John L. Crassidis,et al.  Survey of nonlinear attitude estimation methods , 2007 .

[15]  Christopher D. Hall,et al.  Spacecraft Dynamics and Control , 2002 .

[16]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[17]  Vladimir A. Chobotov Spacecraft Attitude Dynamics and Control , 1991 .