Modified nonlinear integral sliding mode control for satellite attitude stabilization using Magnetically Suspended Gimbaled Momentum Wheel

This paper treats the attitude stabilization problem for satellite using only one MSGMW (Magnetically Suspended Gimbaled Momentum Wheel). To start, the coupled dynamic model of satellite and MSGMW is defined and simplified based on the fact that the attitude errors are small during the mission mode that the MSGMW services. In order to improve the dynamic performance, reduce the steady state error and avoid the chattering phenomenon, a modified integral chattering-free sliding mode controller with a nonlinear integral function and a saturation function is introduced. Lyapunov theory is employed to prove the convergence characteristic outside the boundary layer and the terminal convergence characteristic inside the boundary layer. A numerical simulation example is employed to show the effectiveness and suitability of the proposed controller.

[1]  John L. Crassidis,et al.  Sliding Mode Control Using Modified Rodrigues Parameters , 1996 .

[2]  Johari Halim Shah Osman,et al.  A class of proportional-integral sliding mode control with application to active suspension system , 2004, Syst. Control. Lett..

[3]  T. Chern,et al.  Design of integral variable structure controller and application to electrohydraulic velocity servosystems , 1991 .

[4]  L. Gang Research on the Stability of Magnetic Bearing System in Magnetically Suspended Momentum Wheel under on Orbit Condition , 2009 .

[5]  L. Fridman,et al.  Robust Output LQ Optimal Control via Integral Sliding Modes , 2014 .

[6]  Hideyuki Sawada,et al.  High-Stability Attitude Control of Satellites by Magnetic Bearing Wheels , 2001 .

[7]  Moshe Idan,et al.  Sliding-Mode Control for Integrated Missile Autopilot Guidance , 2004 .

[8]  I. Nakatani,et al.  Attitude control system design of a satellite with a magnetically suspended momentum wheel based on two-degree-of-freedom control system theory , 1993 .

[9]  Liu Gang Satellite Roll-yaw Axis Attitude Stable Control Based on Magnetically Suspended Momentum Wheel with Vernier Gimballing Capacity , 2010 .

[10]  Shunan Wu,et al.  Quaternion-based finite time control for spacecraft attitude tracking , 2011 .

[11]  Yuanqing Xia,et al.  Adaptive Sliding Mode Control for Attitude Stabilization With Actuator Saturation , 2011, IEEE Transactions on Industrial Electronics.

[12]  Myung-Joong Youn,et al.  Robust nonlinear speed control of PM synchronous motor using boundary layer integral sliding mode control technique , 2000, IEEE Trans. Control. Syst. Technol..

[13]  F. Terui Position and Attitude Control of a Spacecraft by Sliding Mode Control. , 1998 .

[14]  Xi Liu,et al.  Finite-Time Attitude Tracking Control for Spacecraft Using Terminal Sliding Mode and Chebyshev Neural Network , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[15]  Alexander S. Poznyak,et al.  Integral Sliding Mode Control , 2014 .

[16]  Leonid M. Fridman,et al.  Analysis and design of integral sliding manifolds for systems with unmatched perturbations , 2006, IEEE Transactions on Automatic Control.

[17]  Myeong-Ryong Nam,et al.  Control system design to cope with non-linearities of a magnetically suspended momentum wheel for satellites , 1994 .

[18]  Hakan Elmali,et al.  Robust output tracking control of nonlinear MIMO systems via sliding mode technique , 1992, Autom..

[19]  Qinglei Hu,et al.  Variable structure control and active vibration suppression of flexible spacecraft during attitude maneuver , 2005 .

[20]  Zheng Zhi-qiang,et al.  Sliding mode control approach with nonlinear integrator , 2011 .

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

[22]  Shih-Che Lo,et al.  Smooth Sliding-Mode Control for Spacecraft Attitude Tracking Maneuvers , 1995 .

[23]  Paul E. Allaire,et al.  Integral sliding-mode control of a magnetically suspended balance beam: analysis, simulation, and experiment , 2001 .

[24]  Sun Fuchun Research and development on theory and algorithms of sliding mode control , 2007 .