Finite-Time Stabilization Control for a Rigid Spacecraft under Parameter Uncertainties

A novel finite-time control scheme is investigated for a rigid spacecraft in present of parameter uncertainties and external disturbances. Firstly, the spacecraft mathematical model is transformed into a cascading system by introducing an adaptive variable. Then a novel finite-time attitude stabilization control scheme for a rigid spacecraft is proposed based on the homogeneous method. Lyapunov stability analysis shows that the resulting closed-loop attitude system is proven to be stable in finite time without parameter uncertainties and asymptotically stable with parameter uncertainties. Finally, numerical simulation examples are also presented to demonstrate that the control strategy developed is feasible and effective for spacecraft attitude stabilization mission.

[1]  Peter C. Müller,et al.  Global continuous finite-time output feedback regulation of robot manipulators , 2008, 2008 IEEE International Conference on Robotics and Automation.

[2]  Youmin Zhang,et al.  Fault-Tolerant Attitude Control for Flexible Spacecraft Without Angular Velocity Magnitude Measurement , 2011 .

[3]  Hamid Reza Karimi,et al.  Robust Control of Continuous-Time Systems With State-Dependent Uncertainties and Its Application to Electronic Circuits , 2014, IEEE Transactions on Industrial Electronics.

[4]  Youmin Zhang,et al.  Adaptive Sliding Mode Fault Tolerant Attitude Tracking Control for Flexible Spacecraft Under Actuator Saturation , 2012, IEEE Transactions on Control Systems Technology.

[5]  Zhao Wang,et al.  Comments on the paper: Robust controllers design with finite time convergence for rigid spacecraft attitude tracking control , 2011 .

[6]  Hamid Reza Karimi,et al.  Data-driven design of robust fault detection system for wind turbines , 2014 .

[7]  Shihua Li,et al.  Finite-Time Attitude Stabilization for a Spacecraft Using Homogeneous Method , 2012 .

[8]  Jianbin Qiu,et al.  Fuzzy-Model-Based Piecewise ${\mathscr H}_{\infty }$ Static-Output-Feedback Controller Design for Networked Nonlinear Systems , 2010, IEEE Transactions on Fuzzy Systems.

[9]  Steven X. Ding,et al.  Data-driven monitoring for stochastic systems and its application on batch process , 2013, Int. J. Syst. Sci..

[10]  Ming Liu,et al.  Finite-Time Control for Spacecraft Formation with Dual-Number-Based Description , 2012 .

[11]  Bo Li,et al.  Robust finite-time control allocation in spacecraft attitude stabilization under actuator misalignment , 2013 .

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

[13]  Ping Zhang,et al.  A comparison study of basic data-driven fault diagnosis and process monitoring methods on the benchmark Tennessee Eastman process , 2012 .

[14]  Jianbin Qiu,et al.  Observer-Based Piecewise Affine Output Feedback Controller Synthesis of Continuous-Time T–S Fuzzy Affine Dynamic Systems Using Quantized Measurements , 2012, IEEE Transactions on Fuzzy Systems.

[15]  Haibo Gao,et al.  Stability and stabilisation of Markovian jump systems with time-varying delay: an input–output approach , 2012 .

[16]  Jianbin Qiu,et al.  Asynchronous Output-Feedback Control of Networked Nonlinear Systems With Multiple Packet Dropouts: T–S Fuzzy Affine Model-Based Approach , 2011, IEEE Transactions on Fuzzy Systems.

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

[18]  L. Rosier Homogeneous Lyapunov function for homogeneous continuous vector field , 1992 .

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

[20]  Warren E. Dixon,et al.  Nonlinear Control of Wheeled Mobile Robots , 2001 .

[21]  Chen Xiaohong,et al.  Nonlinear adaptive control based on RBF networks and multi-model method , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[22]  Hamid Reza Karimi,et al.  Data-driven adaptive observer for fault diagnosis , 2012 .

[23]  Steven X. Ding,et al.  Real-Time Implementation of Fault-Tolerant Control Systems With Performance Optimization , 2014, IEEE Transactions on Industrial Electronics.