Elliptical Orbital Spacecraft Rendezvous without Velocity Measurement

AbstractThis paper presents a new robust output feedback guidance scheme for autonomous spacecraft rendezvous during the final phase in elliptical orbit. The proposed approach is essentially a compound control method, which consists of an input-to-state stable (ISS) concept and high-gain observer (HGO) methodology. More specifically, the HGO is used to estimate the relative velocity between two neighboring spacecrafts, while the ISS-based controller is used to regulate the relative position and the relative velocity to a small region around zero asymptotically. Stability analysis of the closed-loop system is also established by using Lyapunov theory. Numerical simulations are performed to demonstrate the robustness and effectiveness of the proposed method.

[1]  Jiang Wang,et al.  Autonomous spacecraft rendezvous with finite time convergence , 2015, J. Frankl. Inst..

[2]  Jin Zhang,et al.  Survey of orbital dynamics and control of space rendezvous , 2014 .

[3]  Hassan K. Khalil,et al.  High-gain observers in the presence of measurement noise: A switched-gain approach , 2009, Autom..

[4]  Wigbert Fehse,et al.  Automated Rendezvous and Docking of Spacecraft , 2003 .

[5]  Michael E. Polites,et al.  An Assessment of the Technology of Automated Rendezvous and Capture in Space , 1998 .

[6]  Fumitoshi Matsuno,et al.  Adaptive time-varying sliding mode control for autonomous spacecraft rendezvous , 2013, 52nd IEEE Conference on Decision and Control.

[7]  Steve Ulrich,et al.  Simple Adaptive Control for Spacecraft Proximity Operations , 2014 .

[8]  G. Duan,et al.  Circular orbital rendezvous with actuator saturation and delay: A parametric Lyapunov equation approach , 2012 .

[9]  Douglas J. Zimpfer,et al.  Autonomous Rendezvous, Capture and In-Space Assembly: Past, Present and Future , 2005 .

[10]  Zongli Lin,et al.  Lyapunov Differential Equation Approach to Elliptical Orbital Rendezvous with Constrained Controls , 2011 .

[11]  David B. Smith,et al.  Mars sample return: Architecture and mission design , 2003 .

[12]  W. H. Clohessy,et al.  Terminal Guidance System for Satellite Rendezvous , 2012 .

[13]  Hassan K. Khalil,et al.  A separation principle for the stabilization of a class of nonlinear systems , 1997, 1997 European Control Conference (ECC).

[14]  James R. Wertz,et al.  Space Mission Analysis and Design , 1992 .

[15]  Hassan K. Khalil,et al.  High-gain observers in the presence of measurement noise: A nonlinear gain approach , 2008, 2008 47th IEEE Conference on Decision and Control.

[16]  Angelo Alessandri,et al.  Increasing-gain observers for nonlinear systems: Stability and design , 2015, Autom..

[17]  H. Leeghim,et al.  Spacecraft intercept using minimum control energy and wait time , 2013 .

[18]  K. Yamanaka,et al.  New State Transition Matrix for Relative Motion on an Arbitrary Elliptical Orbit , 2002 .

[19]  H. Khalil,et al.  Output feedback stabilization of fully linearizable systems , 1992 .

[20]  Huijun Gao,et al.  Multi-Objective Robust $H_{\infty}$ Control of Spacecraft Rendezvous , 2009, IEEE Transactions on Control Systems Technology.

[21]  Steven R. Chesley,et al.  Deep Impact Navigation System Performance , 2008 .

[22]  Hassan K. Khalil,et al.  High-gain observers in nonlinear feedback control , 2009, 2009 IEEE International Conference on Control and Automation.

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

[24]  Mattia Zamaro,et al.  Application of SDRE technique to orbital and attitude control of spacecraft formation flying , 2014 .

[25]  Mohsen Bahrami,et al.  Optimal sliding mode control for spacecraft formation flying in eccentric orbits , 2013, The 2nd International Conference on Control, Instrumentation and Automation.

[26]  David B. Smith,et al.  Mars Sample Return: architecture and mission design , 2002, Proceedings, IEEE Aerospace Conference.

[27]  Guang-Ren Duan,et al.  Non-fragile robust H ∞ control for uncertain spacecraft rendezvous system with pole and input constraints , 2012, Int. J. Control.

[28]  Guang-Ren Duan,et al.  An optimal control approach to spacecraft rendezvous on elliptical orbit , 2015 .

[29]  Edward N. Hartley,et al.  Model predictive control system design and implementation for spacecraft rendezvous , 2012 .

[30]  Hassan K. Khalil,et al.  A Nonlinear High-Gain Observer for Systems With Measurement Noise in a Feedback Control Framework , 2013, IEEE Transactions on Automatic Control.

[31]  Xiuyun Meng,et al.  Multi-objective and reliable control for trajectory-tracking of rendezvous via parameter-dependent Lyapunov functions , 2012 .

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

[33]  T. Carter State Transition Matrices for Terminal Rendezvous Studies: Brief Survey and New Example , 1998 .