6-DOF integrated adaptive backstepping control for spacecraft proximity operations

Relative motion control with 6 degrees of freedom (6 DOF) is investigated for a chaser spacecraft with parametric uncertainties to approach an unknown tumbling space target. Unlike the conventional relative motion model described in the target orbital frame, the relative motion model formulated in the chaser's body-fixed frame can simplify modeling and control design for spacecraft proximity operations, while the chaser's thrust misalignment and the natural couplings between relative translation and relative rotation are considered in the 6-DOF integrated dynamics. After the coupled relative motion dynamics are modeled, a 6-DOF integrated state feedback controller is designed by combining the classical backstepping technique with a simple norm-estimation adaptive method to achieve good control performance and decrease the computational burden. The chaser's and target's unknown inertial parameters, unknown thrust misalignment, and upper bound of unknown disturbances are estimated by online adaptive laws. Ultimately, uniformly bounded convergence of the relative position and relative attitude is proved via Lyapunov analysis. The performance of the proposed controller is demonstrated through numerical simulations.

[1]  Wei Huo,et al.  Nonlinear Robust Adaptive Control for Spacecraft Proximity Operations , 2014 .

[2]  Son-Goo Kim,et al.  Kalman filtering for relative spacecraft attitude and position estimation , 2005 .

[3]  Ou Ma,et al.  Angular velocity tracking for satellite rendezvous and docking , 2011 .

[4]  Shai Segal,et al.  Stereovision-Based Estimation of Relative Dynamics Between Noncooperative Satellites: Theory and Experiments , 2014, IEEE Transactions on Control Systems Technology.

[5]  Ilya Kolmanovsky,et al.  Model Predictive Control approach for guidance of spacecraft rendezvous and proximity maneuvering , 2012 .

[6]  M. Xin,et al.  Nonlinear optimal control of spacecraft approaching a tumbling target , 2011 .

[7]  Ming Xin,et al.  Integrated nonlinear optimal control of spacecraft in proximity operations , 2010, Int. J. Control.

[8]  G.-R. Duan,et al.  Integrated translational and rotational finite-time maneuver of a rigid spacecraft with actuator misalignment , 2012 .

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

[10]  D. Mayne.  Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[11]  Kamesh Subbarao,et al.  Adaptive Output Feedback Control for Spacecraft Rendezvous and Docking Under Measurement Uncertainty , 2006 .

[12]  Marcel J. Sidi,et al.  Spacecraft Dynamics and Control: A Practical Engineering Approach , 1997 .

[13]  Takashi Kida,et al.  Nonlinear tracking control of rigid spacecraft under disturbance using PD and PID type ℋ∞ state feedback , 2011, IEEE Conference on Decision and Control and European Control Conference.

[14]  Christopher J. Damaren,et al.  EFFECT OF ATTITUDE PARAMETERIZATION ON THE PERFORMANCE OF PASSIVITY-BAS ED ADAPTIVE ATTITUDE CONTROL , 2001 .

[15]  Ming Xin,et al.  Indirect Robust Control of Spacecraft via Optimal Control Solution , 2012, IEEE Transactions on Aerospace and Electronic Systems.

[16]  Kamesh Subbarao,et al.  Nonlinear Control of Motion Synchronization for Satellite Proximity Operations , 2008 .

[17]  N. K. Philip,et al.  Relative position and attitude estimation and control schemes for the final phase of an autonomous docking mission of spacecraft , 2003 .

[18]  D. T. Stansbery,et al.  Position and attitude control of a spacecraft using the state-dependent Riccati equation technique , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[19]  Guang-Ren Duan,et al.  Integrated relative position and attitude control of spacecraft in proximity operation missions , 2012, Int. J. Autom. Comput..

[20]  Marios M. Polycarpou,et al.  A Robust Adaptive Nonlinear Control Design , 1993, 1993 American Control Conference.

[21]  Ziyang Meng,et al.  Decentralised cooperative attitude tracking using modified Rodriguez parameters based on relative attitude information , 2010, Int. J. Control.