Direct parametric control approach to robust integrated relative position and attitude control for non-cooperative rendezvous

In this paper, the integrated relative position and attitude nonlinear second-order model for non-cooperative rendezvous with the parameter uncertainty has been established, which consists of orbit dynamical model in the line of coordinate system and attitude dynamical model described by Euler angle, furthermore we consider the gravity discrepancy item to be the uncertain parameter, which be neglected generally, the 6 degree of freedom(6DOF) model complete in the sense that no approximation is taken. Based on the eigenstructure assignment and direct parametric control approach, we design the robust control law for non-cooperative rendezvous in the final phase subject to parameter uncertainty. The control law is constructed with the closed-loop poles system state and the design freedom parameters. Through solving an optimization problem, we obtain free parametric to calculate the control law. A numerical simulation demonstrates the effect of the designed control strategy.

[1]  Yindong Liu,et al.  Robust Parametric Control of Spacecraft Rendezvous , 2014 .

[2]  Guang-Ren Duan,et al.  Non-cooperative rendezvous and interception —A direct parametric control approach , 2014, Proceeding of the 11th World Congress on Intelligent Control and Automation.

[3]  John Leif Jørgensen,et al.  Noncooperative Rendezvous Using Angles-Only Optical Navigation: System Design and Flight Results , 2013 .

[4]  Hirohisa Kojima.  Position and Attitude Adaptive Tracking Controller Based on Exact Linearization , 2003 .

[5]  Duan Guang-Ren,et al.  Direct parametric control of fully-actuated second-order nonlinear systems—The normal case , 2014, Proceedings of the 33rd Chinese Control Conference.

[6]  Tim Luu,et al.  Space shuttle testing of the TriDAR 3D rendezvous and docking sensor , 2012, J. Field Robotics.

[7]  Guang-Ren Duan.  Satellite attitude control—A direct parametric approach , 2014, Proceeding of the 11th World Congress on Intelligent Control and Automation.

[8]  Guang-Ren Duan,et al.  Generalized Sylvester Equations: Unified Parametric Solutions , 2015 .

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

[10]  V. Kapila,et al.  Output feedback control for spacecraft formation flying with coupled translation and attitude dynamics , 2005, Proceedings of the 2005, American Control Conference, 2005..

[11]  Graham G. Swinerd,et al.  Dynamics of Spacecraft , 2011 .

[12]  Hirohisa Kojima.  Fly-Around Motion Control Based on Exact Linearization with Adaptive Law , 2005 .

[13]  Farhad Aghili,et al.  Optimal Control for Robotic Capturing and Passivation of a Tumbling Satellite with Unknown Dynamics , 2008 .

[14]  O. Yakimenko,et al.  Optimal Rendezvous Trajectories of a Controlled Spacecraft and a Tumbling Object , 2011 .

[15]  Farhad Aghili,et al.  Time-Optimal Detumbling Control of Spacecraft , 2009 .

[16]  V. Kapila,et al.  Output feedback control for spacecraft with coupled translation and attitude dynamics , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[17]  Shu-Nan Wu,et al.  Robust H ∞ Control for Spacecraft Rendezvous with a Noncooperative Target , 2013, TheScientificWorldJournal.

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

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