Stabilization of flexible spacecraft based on non-smooth control technique

Flexible spacecraft is a kind of complex systems consisting of rigid bodies and flexible appendages. The attitude maneuvering or external disturbances will unavoidably lead to a continuous vibration of flexible appendages. It is known that non-smooth control systems have rapid convergence performance and better disturbance rejection property. To this end, by utilizing non-smooth control technique, a backstepping control scheme with flexible modal observer is deduced for stabilizing a class of flexible spacecraft. Based on stability theory of cascaded system, the corresponding closed loop systems have been rigorously proved to be asymptotically stable. Simulation results verify the effectiveness of the proposed method.

[1]  Shihua Li,et al.  Global set stabilization of the spacecraft attitude control problem based on quaternion , 2010 .

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

[3]  Jie Huang,et al.  On an output feedback finite-time stabilization problem , 2001, IEEE Trans. Autom. Control..

[4]  X. Xia,et al.  Semi-global finite-time observers for nonlinear systems , 2008, Autom..

[5]  S. Di Gennaro Passive Attitude Control of Flexible Spacecraft from Quaternion Measurements , 2003 .

[6]  V. Kapila,et al.  Adaptive tracking control using synthesized velocity from attitude measurements , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

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

[8]  Shihua Li,et al.  Global set stabilization of the spacecraft attitude control problem based on quaternion , 2010 .

[9]  Shihua Li,et al.  Stabilization of the attitude of a rigid spacecraft with external disturbances using finite-time control techniques , 2007, 2007 American Control Conference.

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

[11]  S. Di Gennaro,et al.  Passive Attitude Control of Flexible Spacecraft from Quaternion Measurements , 2003 .

[12]  Tarunraj Singh,et al.  Robust Time-Optimal Control of Flexible Structures With Parametric Uncertainty , 1997 .

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

[14]  S. Di Gennaro,et al.  Output stabilization of flexible spacecraft with active vibration suppression , 2003 .

[15]  Shihua Li,et al.  Stability analysis for a second-order continuous finite-time control system subject to a disturbance , 2009 .

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

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

[18]  Zhong-Ping Jiang,et al.  Finite-Time Stabilization of Nonlinear Systems With Parametric and Dynamic Uncertainties , 2006, IEEE Transactions on Automatic Control.

[19]  A. Kelkar,et al.  Dissipative Controllers for Nonlinear Multibody Flexible Space Systems , 1995 .

[20]  P. Tsiotras Stabilization and optimality results for the attitude control problem , 1996 .

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