Attitude control using higher order sliding mode

Abstract This paper proposes a chattering-free global finite-time convergent robust control method for the attitude control of a rigid spacecraft. The control method is formulated using higher order sliding mode control in integral sliding mode. The sliding mode order is higher than the system relative degree and therefore, chattering elimination is ensured. In the control design process, unmeasured sliding vector derivative is estimated using a robust exact differentiator. To verify the effectiveness of the proposed control method, simulations are performed in the presence of external disturbances and inertia uncertainty. The proposed controller successfully negates the effect of external disturbances and inertia uncertainty and attitude states attain the desired accuracy with good steady state precision and high convergence speed.

[1]  Pyare Mohan Tiwari,et al.  Rigid spacecraft attitude control using adaptive integral second order sliding mode , 2015 .

[2]  Franck Plestan,et al.  Higher order sliding mode control based on integral sliding mode , 2007, Autom..

[3]  Xinghuo Yu,et al.  On finite time mechanism: terminal sliding modes , 1996, Proceedings. 1996 IEEE International Workshop on Variable Structure Systems. - VSS'96 -.

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

[5]  Franck Plestan,et al.  An adaptive solution for robust control based on integral high‐order sliding mode concept , 2015 .

[6]  V. Utkin Variable structure systems with sliding modes , 1977 .

[7]  S. Vadali Variable-Structure Control of Spacecraft Large-Angle Maneuvers , 1986 .

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

[9]  Zhaowei Sun,et al.  Robust controllers design with finite time convergence for rigid spacecraft attitude tracking control , 2008 .

[10]  Song Shen-min Rigid spacecraft attitude tracking maneuver control based on second-order sliding mode , 2010 .

[11]  Shih-Che Lo,et al.  Sliding-Mode Controller Design for Spacecraft Attitude Tracking Maneuvers , 1993, 1993 American Control Conference.

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

[13]  Kemao Ma Comments on “Quasi-Continuous Higher Order Sliding-Mode Controllers for Spacecraft-Attitude-Tracking Maneuvers” , 2013, IEEE Transactions on Industrial Electronics.

[14]  A. Levant Sliding order and sliding accuracy in sliding mode control , 1993 .

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

[16]  Qun Zong,et al.  Brief paper: Higher order sliding mode control with self-tuning law based on integral sliding mode , 2010 .

[17]  S. Bhat,et al.  Finite-time stability of homogeneous systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[18]  Arie Levant,et al.  Principles of 2-sliding mode design , 2007, Autom..

[19]  S. Gulati,et al.  Terminal sliding modes: a new approach to nonlinear control synthesis , 1991, Fifth International Conference on Advanced Robotics 'Robots in Unstructured Environments.

[20]  Xinghuo Yu,et al.  Fast terminal sliding-mode control design for nonlinear dynamical systems , 2002 .

[21]  V. Utkin,et al.  Integral sliding mode in systems operating under uncertainty conditions , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[22]  Weibing Gao,et al.  Variable structure control of nonlinear systems: a new approach , 1993, IEEE Trans. Ind. Electron..

[23]  Yuanqing Xia,et al.  Finite‐time attitude stabilization for rigid spacecraft , 2013 .

[24]  Xinghuo Yu,et al.  Terminal sliding mode control of MIMO linear systems , 1997 .

[25]  C. Mahanta,et al.  Adaptive integral higher order sliding mode controller for uncertain systems , 2013 .

[26]  Yuanqing Xia,et al.  Controller design for rigid spacecraft attitude tracking with actuator saturation , 2013, Inf. Sci..

[27]  Pedro Paglione,et al.  Sliding mode attitude control using thrusters and pulse modulation for the ASTER mission , 2015 .

[28]  May-Win L. Thein,et al.  Quasi-Continuous Higher Order Sliding-Mode Controllers for Spacecraft-Attitude-Tracking Maneuvers , 2010, IEEE Transactions on Industrial Electronics.

[29]  Dennis S. Bernstein,et al.  Geometric homogeneity with applications to finite-time stability , 2005, Math. Control. Signals Syst..