Detumbling and Partial Attitude Stabilization of a Rigid Spacecraft Under Actuator Failure

We consider the problem of attitude and angular velocity stabilization of a rigid spacecraft subject toa single actuator failure. Only two pairs of gas jet actuators are available to perform the control objectives.Various controllers have been proposed for this problem in the case that the spacecraft is axisymmetric aboutone of its axis. In this paper the spacecraft under consideration is a rigid body that is almost axisymmetricabout its body 3-axis. A small parameteregives a measure of the non-symmetry of the spacecraft about thisaxis. A control law is introduced for a special subsystem of the complete dynamical system under consideration.This control law can be used either alone for detumbling maneuvers of nearly symmetric spacecraft, or as partof a more general control strategy to stabilize the complete attitude of non-symmetric spacecraft. Numericalexamples demonstrate the success of the theoretical developments.

[1]  Zhong-Ping Jiang,et al.  Time-varying feedback stabilization of the attitude of a rigid spacecraft with two controls , 1994 .

[2]  Ralph E. Bach,et al.  Linearization of attitude-control error dynamics , 1993, IEEE Trans. Autom. Control..

[3]  Panagiotis Tsiotras.  Feasible Trajectory Generation for Underactuated Spacecraft Using Differential Flatness , 1999 .

[4]  Mahmut Reyhanoglu,et al.  On the Attitude Stabilization of a Rigid Spacecraft Using Two Control Torques , 1992, 1992 American Control Conference.

[5]  Ilya Kolmanovsky,et al.  Application of Integrator Backstepping to Nonholonomic Control Problems , 1995 .

[6]  Panagiotis Tsiotras,et al.  Reduced Effort Control Laws for Underactuated Rigid Spacecraft , 1997 .

[7]  James M. Longuski,et al.  A New Parameterization of the Attitude Kinematics , 1995 .

[8]  R. Murray,et al.  Nonholonomic systems and exponential convergence: some analysis tools , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[9]  Haim Weiss,et al.  Quarternion feedback regulator for spacecraft eigenaxis rotations , 1989 .

[10]  J. Wen,et al.  The attitude control problem , 1991 .

[11]  R. W. Brockett.  Asymptotic stability and feed back stabilization , 1983 .

[12]  Jean-Michel Coron,et al.  Explicit feedbacks stabilizing the attitude of a rigid spacecraft with two control torques , 1996, Autom..

[13]  James M. Longuski,et al.  Comments on a new parameterization of the attitude kinematics , 1996 .

[14]  R. Mortensen.  A globally stable linear attitude regulator , 1968 .

[15]  Andrea Bacciotti,et al.  Local Stabilizability of Nonlinear Control Systems , 1991, Series on Advances in Mathematics for Applied Sciences.

[16]  L. Rosier.  Homogeneous Lyapunov function for homogeneous continuous vector field , 1992 .

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

[18]  Mahmut Reyhanoglu,et al.  Attitude stabilization of a rigid spacecraft using two control torques: A nonlinear control approach based on the spacecraft attitude dynamics , 1994, Autom..

[19]  Panagiotis Tsiotras,et al.  Stabilization and Tracking of Underactuated Axisymmetric Spacecraft with Bounded Control , 1998 .

[20]  C. Samson,et al.  Time-varying exponential stabilization of a rigid spacecraft with two control torques , 1997, IEEE Trans. Autom. Control..

[21]  J. Coron,et al.  Adding an integrator for the stabilization problem , 1991 .

[22]  P. Tsiotras,et al.  CONTROL OF SPACECRAFT SUBJECT TO ACTUATOR FAILURES : STATE-OFTHE-ART AND OPEN PROBLEMS , 2000 .

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

[24]  J. Coron,et al.  Lyapunov design of stabilizing controllers for cascaded systems , 1991 .

[25]  Christopher I. Byrnes,et al.  Analysis and simulation of a controlled rigid spacecraft: stability and instability near attractors , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[26]  Panagiotis Tsiotras,et al.  A novel approach to the attitude control of axisymmetric spacecraft , 1995, Autom..