Adaptive robust stabilization of rigid spacecraft in presence of disturbances

In this paper the problem of robust stabilization of rigid spacecraft subject to a gravity-gradient disturbance has been considered. Different control laws have been derived either in the cases of knowledge of the inertia matrix of the system or when only estimations of its parameters are available. It is assumed that the entire state of the system can be used to implement the control. An overparametrization of the initial parameterization is introduced in order to give a bound on the disturbance independent on the inertia matrix of the spacecraft. Simulations show the different performances of the controls derived and demonstrate the improvements due to the adaptive control.

[1]  Sahjendra Singh,et al.  Nonlinear Adaptive Attitude Control of Spacecraft , 1987, IEEE Transactions on Aerospace and Electronic Systems.

[2]  T. Dwyer.  Exact nonlinear control of large angle rotational maneuvers , 1984 .

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

[4]  Sahjendra N. Singh.  Rotational maneuver of nonlinear uncertain elastic spacecraft , 1988 .

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

[6]  B. Ickes.  A new method for performing digital control system attitude computations using quaternions , 1970 .

[7]  A. Isidori,et al.  Nonlinear decoupling via feedback: A differential geometric approach , 1981 .

[8]  A. Annaswamy,et al.  Adaptive control of nonlinear systems with a triangular structure , 1994, IEEE Trans. Autom. Control..

[9]  Salvatore Monaco,et al.  A Nonlinear Feedback Control Law for Attitude Control , 1986 .

[10]  D. Normand-Cyrot,et al.  Multirate three axes attitude stabilization of spacecraft , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[11]  S. N. Singh,et al.  Control and stabilization of nonlinear uncertain elastic robotic arm , 1988 .

[12]  A. Isidori,et al.  Adaptive control of linearizable systems , 1989 .

[13]  S. Di Gennaro,et al.  Output feedback stabilization of a rigid spacecraft with unknown disturbances , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

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

[15]  D. Normand-Cyrot,et al.  On the linearizing feedback in nonlinear sampled data control schemes , 1986, 1986 25th IEEE Conference on Decision and Control.

[16]  S. Monaco,et al.  Variable structure control of globally feedback-decoupled deformable vehicle meneuvers , 1987, 26th IEEE Conference on Decision and Control.

[17]  S. Battilotti.  Global output regulation and disturbance attenuation with global stability via measurement feedback for a class of nonlinear systems , 1996, IEEE Trans. Autom. Control..