Decentralised finite-time attitude synchronisation and tracking control for rigid spacecraft

The problem of finite-time attitude synchronisation and tracking for a group of rigid spacecraft nonlinear dynamics is investigated in this paper. First of all, in the presence of environmental disturbance, a novel decentralised control law is proposed to ensure that the spacecraft attitude error dynamics can converge to the sliding surface in finite time; then the final practical finite-time stability of the attitude error dynamics can be guaranteed in small regions. Furthermore, a modified finite-time control law is proposed to address the control chattering. The control law can guarantee a group of spacecraft to attain desired time-varying attitude and angular velocity while maintaining attitude synchronisation with other spacecraft in the formation. Simulation examples are provided to illustrate the feasibility of the control algorithm presented in this paper.

[1]  Guang-Ren Duan,et al.  Robust adaptive integrated translation and rotation finite-time control of a rigid spacecraft with actuator misalignment and unknown mass property , 2014, Int. J. Syst. Sci..

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

[3]  Jean-Jacques E. Slotine,et al.  Adaptive sliding controller synthesis for non-linear systems , 1986 .

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

[5]  Sahjendra N. Singh,et al.  Sliding mode control of flexible spacecraft under disturbance torque , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

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

[7]  Hyochoong Bang,et al.  Spacecraft attitude control by combination of various torquers , 2009, Int. J. Syst. Sci..

[8]  Jiangping Hu,et al.  Tracking control for multi-agent consensus with an active leader and variable topology , 2006, Autom..

[9]  Baolin Wu,et al.  Decentralized Robust Adaptive Control for Attitude Synchronization Under Directed Communication Topology , 2011 .

[10]  R. Merris.  Laplacian matrices of graphs: a survey , 1994 .

[11]  Shihua Li,et al.  Finite-Time Attitude Tracking Control of Spacecraft With Application to Attitude Synchronization , 2011, IEEE Transactions on Automatic Control.

[12]  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.

[13]  Frank L. Lewis,et al.  Robust spacecraft attitude control using adaptive fuzzy logic , 2000, Int. J. Syst. Sci..

[14]  Abdelkader Abdessameud,et al.  Attitude Synchronization of a Group of Spacecraft Without Velocity Measurements , 2009, IEEE Transactions on Automatic Control.

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

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

[17]  Hebertt Sira-Ramírez,et al.  Variable-structure control of spacecraft attitude maneuvers , 1988 .

[18]  Junquan Li,et al.  Decentralized Fault-Tolerant Control for Satellite Attitude Synchronization , 2012, IEEE Transactions on Fuzzy Systems.

[19]  Wei Ren,et al.  Distributed Cooperative Attitude Synchronization and Tracking for Multiple Rigid Bodies , 2010, IEEE Transactions on Control Systems Technology.

[20]  Tianyou Chai,et al.  Neural-Network-Based Terminal Sliding-Mode Control of Robotic Manipulators Including Actuator Dynamics , 2009, IEEE Transactions on Industrial Electronics.

[21]  Yuanqing Xia,et al.  Finite-time fault-tolerant control for rigid spacecraft with actuator saturations , 2013 .

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

[23]  An-Min Zou,et al.  Distributed Attitude Coordination Control for Spacecraft Formation Flying , 2012, IEEE Transactions on Aerospace and Electronic Systems.

[24]  Masayuki Fujita,et al.  Passivity-Based Attitude Synchronization in $SE(3)$ , 2009, IEEE Transactions on Control Systems Technology.

[25]  Bing Xiao,et al.  Adaptive fault tolerant control using integral sliding mode strategy with application to flexible spacecraft , 2013, Int. J. Syst. Sci..

[26]  Yuanqing Xia,et al.  Adaptive attitude tracking control for rigid spacecraft with finite-time convergence , 2013, Autom..

[27]  J. Y. Yang,et al.  Robust attitude control of spacecraft using sliding mode control and productive networks , 1997, Int. J. Syst. Sci..

[28]  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).

[29]  Charles R. Johnson,et al.  Topics in Matrix Analysis , 1991 .

[30]  Chun-Yi Su,et al.  Robust adaptive control of a class of nonlinear systems with unknown dead-zone , 2004, Autom..