Nonlinear Observers for Gyro Calibration Coupled with a Nonlinear Control Algorithm

Nonlinear observers for gyro calibration are presented. The first observer estimates a constant gyro bias. The second observer estimates scale factor errors. The third observer estimates the gyro alignment for three orthogonal gyros. The observers are then combined. The convergence properties of all three observers, and the combined observers, are discussed. Additionally, all three observers are coupled with a nonlinear control algorithm. The stability of each of the resulting closed loop systems is analyzed. Simulated test results are presented for each system.

[1]  Itzhack Y. Bar-Itzhack,et al.  In-Space Calibration of a Skewed Gyro Quadruplet , 2002 .

[2]  John L. Crassidis,et al.  VISION-BASED RELATIVE NAVIGATION FOR FORMATION FLYING OF SPACECRAFT , 2000 .

[3]  Joseph A. Hashmall,et al.  On-Orbit Calibration of Satellite Gyroscopes , 2000 .

[4]  Raman K. Mehra,et al.  A globally stable scheme for Spacecraft control in the presence of sensor bias , 2000, 2000 IEEE Aerospace Conference. Proceedings (Cat. No.00TH8484).

[5]  Thor I. Fossen,et al.  Nonlinear observer design for integration of DGPS and INS , 1999 .

[6]  Robert M. Sanner,et al.  A coupled nonlinear spacecraft attitude controller and observer with an unknown constant gyro bias and gyro noise , 2003, IEEE Trans. Autom. Control..

[7]  Joseph E. Sedlak,et al.  Comparison of On-Orbit Performance of Rate Sensing Gyroscopes , 2000 .

[8]  Itzhack Y. Bar-Itzhack,et al.  Evaluation of Attitude and Orbit Estimation Using Actual Earth Magnetic Field Data , 2001 .

[9]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .

[10]  Gary L. Welter,et al.  Variations on the Davenport Gyroscope Calibration Algorithm , 1996 .

[11]  M. Shuster A survey of attitude representation , 1993 .

[12]  S. Salcudean A globally convergent angular velocity observer for rigid body motion , 1991 .

[13]  Robert Sanner,et al.  Adaptive attitude control using fixed and dynamically structured neural networks , 1996 .

[14]  Sai-Ming Li,et al.  Fault tolerant control of spacecraft in the presence of sensor bias , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[15]  Malcolm D. Shuster Survey of attitude representations , 1993 .

[16]  P. B. Davenport,et al.  Algorithm for in-flight gyroscope calibration , 1988 .

[17]  O. Egeland,et al.  Passivity-based adaptive attitude control of a rigid spacecraft , 1994, IEEE Trans. Autom. Control..