On the attitude recovery of an underactuated spacecraft using two control moment gyroscopes

In recent years there has been a growing interest in development and utilization of small satellites (smallsats) for scientific missions using single or multiple spacecraft (SC). Due to their small size and low mass, it is not generally possible to equip smallsats with redundant actuators. In case of a failure in the SC's attitude control actuators, one has to reconfigure the control laws in order to maintain the SC's attitude by using only the remaining healthy actuators. In this work, an algorithm that is based on nonholonomic control theory and hybrid control systems is presented for recovery of an underactuated axis-symmetric SC (having only two control torque channels). Our goal is that the recovered SC, in addition to being stabilized, can slew to a desired attitude. Using Lyapunov analysis, the asymptotic stability of the system is guaranteed by employing the proposed control law. Simulations are performed to demonstrate the performance capabilities of the recovered system.

[1]  R. W. Brockett,et al.  Asymptotic stability and feedback stabilization , 1982 .

[2]  M. Akella.  Rigid body attitude tracking without angular velocity feedback , 2000 .

[3]  Martin Sweeting,et al.  BILSAT-1: A low-cost, agile, earth observation microsatellite for Turkey , 2002 .

[4]  P. Crouch,et al.  Spacecraft attitude control and stabilization: Applications of geometric control theory to rigid body models , 1984 .

[5]  Thomas Parisini,et al.  Global asymptotic stabilization of the attitude and the angular rates of an underactuated non-symmetric rigid body , 2008, Autom..

[6]  Nadjim Horri.  Attitude control of underactuated small satellites. , 2004 .

[7]  Rush D. Robinett,et al.  Nonlinear Adaptive Control of Spacecraft Maneuvers , 1997 .

[8]  Bong Wie,et al.  Space Vehicle Dynamics and Control , 1998 .

[9]  Panagiotis Tsiotras,et al.  Control of underactuated spacecraft with bounded inputs , 2000, Autom..

[10]  Jaymie M. Matthews,et al.  Most ( m icrovariability & o scillations of st ars) Canadian astronomical micro-satellite , 2003 .

[11]  Erkan Zergeroglu,et al.  Nonlinear tracking control of an underactuated spacecraft , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[12]  N. Harris McClamroch,et al.  Attitude stabilization of a rigid spacecraft using two momentum wheel actuators , 1993 .

[13]  Christopher I. Byrnes,et al.  On the attitude stabilization of rigid spacecraft , 1991, Autom..

[14]  S. Sastry.  Nonlinear Systems: Analysis, Stability, and Control , 1999 .

[15]  Jianbo Lu,et al.  Feedback control logic for spacecraft eigenaxis rotations under slew rate and control constraints , 1994 .

[16]  Congying Han,et al.  Underactuated Satellite Attitude Control with Two Parallel CMGs , 2007, 2007 IEEE International Conference on Control and Automation.

[17]  Martin Sweeting,et al.  UoSAT-12 minisatellite for high performance earth observation at low cost 1 1 Paper IAF-96-B2-09 pre , 1997 .

[18]  Yao Zhang,et al.  Attitude control for part actuator failure of agile small satellite , 2008 .

[19]  Mak Tafazoli,et al.  A study of on-orbit spacecraft failures , 2009 .

[20]  Zhong-Ping Jiang,et al.  Robust exponential regulation of nonholonomic systems with uncertainties , 2000, Autom..

[21]  Panagiotis Tsiotras.  Further passivity results for the attitude control problem , 1998, IEEE Trans. Autom. Control..