Finite-time soft landing on asteroids using nonsingular terminal sliding mode control

Successful future asteroid landing missions require that the control method provides advanced disturbance rejection performance and strong robustness against parameter uncertainties to give higher accuracy and reliability in the complex space environment. Motivated by the requirement for safe and precise soft landing on asteroids, the finite-time soft-landing problem of an asteroid probe is addressed in this paper via a nonsingular terminal sliding mode (NTSM) control technique. The problem is formulated as a two-point boundary-value constraints control problem, where the initial and terminal requirements of the soft-landing problem are all included in the problem formulations. Then, according to the specific characteristics of the problem, an NTSM control law for soft landing on an asteroid is proposed. Simulation results demonstrate that, compared to the widely used traditional sling mode control method, the proposed method provides a much faster convergence rate, higher accuracies, better disturbance rejection properties and stronger robustness against parameter uncertainties.

[1]  V. Haimo Finite time controllers , 1986 .

[2]  S. Bhat,et al.  Continuous finite-time stabilization of the translational and rotational double integrators , 1998, IEEE Trans. Autom. Control..

[3]  Zhihong Man,et al.  Finite-time stabilization of stochastic nonlinear systems in strict-feedback form , 2013, Autom..

[4]  Zhihong Man,et al.  Continuous finite-time control for robotic manipulators with terminal sliding mode , 2003, Autom..

[5]  J. Miller,et al.  Determination of Shape, Gravity, and Rotational State of Asteroid 433 Eros , 2002 .

[6]  Yiguang Hong,et al.  Adaptive finite-time control of nonlinear systems with parametric uncertainty , 2006, IEEE Transactions on Automatic Control.

[7]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[8]  A. Friedlander,et al.  A simulation of orbits around asteroids using potential field modelling , 1991 .

[9]  Chung-Cheng Chen,et al.  Stability and Almost Disturbance Decoupling Analysis of Nonlinear System Subject to Feedback Linearization and Feedforward Neural Network Controller , 2008, IEEE Transactions on Neural Networks.

[10]  Zhihong Man,et al.  Finite-time stability and instability of stochastic nonlinear systems , 2011, Autom..

[11]  Qi Li,et al.  Global set stabilisation of the spacecraft attitude using finite-time control technique , 2009, Int. J. Control.

[12]  Guang-Ren Duan,et al.  Optimal soft landing control for moon lander , 2008, Autom..

[13]  Wei Lin,et al.  Global finite-time stabilization of a class of uncertain nonlinear systems , 2005, Autom..

[14]  Jun Yang,et al.  Robust Autopilot Design for Bank-to-Turn Missiles using Disturbance Observers , 2013, IEEE Transactions on Aerospace and Electronic Systems.

[15]  Ting-Li Chien,et al.  Control of AMIRA’s ball and beam system via improved fuzzy feedback linearization approach , 2010 .

[16]  Yu-Ping Tian,et al.  Finite-time stability of cascaded time-varying systems , 2007, Int. J. Control.

[17]  Hutao Cui,et al.  Autonomous navigation and guidance for landing on asteroids , 2006 .

[18]  Shihua Li,et al.  Stabilization of the attitude of a rigid spacecraft with external disturbances using finite-time control techniques , 2009 .

[19]  Ji Li,et al.  Global finite-time stabilization by output feedback for planar systems without observable linearization , 2005, IEEE Transactions on Automatic Control.

[20]  Zhihong Man,et al.  Non-singular terminal sliding mode control of rigid manipulators , 2002, Autom..

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

[22]  Jun Yang,et al.  Nonlinear disturbance observer-based control for multi-input multi-output nonlinear systems subject to mismatching condition , 2012, Int. J. Control.

[23]  Edward C. Wong,et al.  Guidance and Control Design for Hazard Avoidance and Safe Landing on Mars , 2006 .

[24]  J. De Lafontaine Autonomous spacecraft navigation and control for comet landing , 1992 .

[25]  Cui Pingyuan,et al.  An autonomous optical navigation and guidance for soft landing on asteroids , 2004 .

[26]  Weidong Wang,et al.  Robust sliding mode guidance and control for soft landing on small bodies , 2012, J. Frankl. Inst..

[27]  Xinghuo Yu,et al.  Continuous finite-time control for robotic manipulators with terminal sliding modes , 2003, Sixth International Conference of Information Fusion, 2003. Proceedings of the.

[28]  Xinghuo Yu,et al.  Sliding-mode control for systems with mismatched uncertainties via a disturbance observer , 2011, IECON 2011 - 37th Annual Conference of the IEEE Industrial Electronics Society.

[29]  Cui Pingyuan,et al.  Robust sliding mode guidance and control for soft landing on small bodies , 2012 .

[30]  Der-Cherng Liaw,et al.  Three-Dimensional Guidance Law for Landing on a Celestial Object , 2000 .

[31]  Der-Cherng Liaw,et al.  Variable structure control scheme for landing on a celestial object , 2001, Int. J. Syst. Sci..

[32]  Kok Lay Teo,et al.  Optimal Guidance for Lunar Module Soft Landing , 2009 .

[33]  Qi Li,et al.  Global set stabilization of the spacecraft attitude using finite-time control technique , 2008, 2008 IEEE International Conference on Control Applications.