Finite-time stabilization control for a rigid spacecraft under parameter uncertainties. (English) Zbl 1463.70018

Summary: 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.


70Q05 Control of mechanical systems
93C85 Automated systems (robots, etc.) in control theory
93C40 Adaptive control/observation systems
Full Text: DOI


[1] Yin, S.; Luo, H.; Ding, S., Real-Time Implementation of Fault-Tolerant Control Systems with Performance Optimization (2013)
[2] Zhao, X.; Zhang, L.; Shi, P.; Karimi, H., Robust control of continuous-time systems with state-dependent uncertainties and its application to electronic circuits, IEEE Transactions on Industrial Electronics, 61, 8, 4161-4170 (2014)
[3] Li, Z.; Fei, Z.; Gao, H., Stability and stabilisation of Markovian jump systems with time-varying delay: an input-output approach, IET Control Theory & Applications, 6, 17, 2601-2610 (2012)
[4] Yin, S.; Yang, X.; Karimi, H. R., Data-driven adaptive observer for fault diagnosis, Mathematical Problems in Engineering, 2012 (2012) · Zbl 1264.93115
[5] Qiu, J.; Feng, G.; Gao, H., Fuzzy-model-based piecewise H∞ static-output-feedback controller design for networked nonlinear systems, IEEE Transactions on Fuzzy Systems, 18, 5, 919-934 (2010)
[6] Qiu, J.; Feng, G.; Gao, H., Observer-based piecewise affine output feedback controller synthesis of continuous-time T-S Fuzzy affine dynamic systems using quantized measurements, IEEE Transactions on Fuzzy Systems, 20, 6, 1046-1062 (2012)
[7] Qiu, J.; Feng, G.; Gao, H., Asynchronous output-feedback control of networked nonlinear systems with multiple packet dropouts: T-S fuzzy affine model-based approach, IEEE Transactions on Fuzzy Systems, 19, 6, 1014-1030 (2011)
[8] Xiao, B.; Hu, Q. L.; Zhang, Y. M., Fault-tolerant attitude control for flexible spacecraft without angular velocity magnitude measurement, Journal of Guidance, Control, and Dynamics, 34, 5, 1556-1561 (2011)
[9] Xiao, B.; Hu, Q.; Zhang, Y., Adaptive sliding mode fault tolerant attitude tracking control for flexible spacecraft under actuator saturation, IEEE Transactions on Control Systems Technology, 20, 6, 1605-1612 (2012)
[10] Yin, S.; Wang, G.; Karimi, H. R., Data-driven design of robust fault detection system for wind turbines, Mechatronics, 24, 4, 298-306 (2014)
[11] Yin, S.; Ding, S. X.; Sari, A. H. A.; Hao, H., Data-driven monitoring for stochastic systems and its application on batch process, International Journal of Systems Science, 44, 7, 1366-1376 (2013) · Zbl 1278.93259
[12] Yin, S.; Ding, S. X.; Haghani, A.; Hao, H.; Zhang, P., A comparison study of basic data-driven fault diagnosis and process monitoring methods on the benchmark Tennessee Eastman process, Journal of Process Control, 22, 9, 1567-1581 (2012)
[13] Wang, J.; Liang, H.; Sun, Z.; Zhang, S.; Liu, M., Finite-time control for spacecraft formation with dual-number-based description, Journal of Guidance, Control, and Dynamics, 35, 3, 950-962 (2012)
[14] Hu, L. B.; Zhang, A., Robust finite-time control allocation in spacecraft attitude stabilization under actuator, Robust Finite-Time Control Allocation in Spacecraft Attitude Stabilization under Actuator, 73, 21 (2013)
[15] Jin, E. D.; Sun, Z. W., Robust controllers design with finite time convergence for rigid spacecraft attitude tracking control, Aerospace Science and Technology, 12, 4, 324-330 (2008) · Zbl 1273.70053
[16] Li, S.; Wang, Z.; Fei, S., Comments on the paper: robust controllers design with finite time convergence for rigid spacecraft attitude tracking control, Aerospace Science and Technology, 15, 3, 193-195 (2011)
[17] Su, Y.; Zheng, C.; Müller, P. C., Global continuous finite-time output feedback regulation of robot manipulators, Proceeding of the IEEE International Conference on Robotics and Automation (ICRA ’08)
[18] Du, H.; Li, S.; Qian, C., Finite-time attitude tracking control of spacecraft with application to attitude synchronization, IEEE Transactions on Automatic Control, 56, 11, 2711-2717 (2011) · Zbl 1368.70036
[19] Du, H. B.; Li, S. H., Finite-time attitude stabilization for a spacecraft using homogeneous method, Journal of Guidance, Control, and Dynamics, 35, 3, 740-748 (2012)
[20] Rosier, L., Homogeneous Lyapunov function for homogeneous continuous vector fields, Systems & Control Letters, 19, 6, 467-473 (1992) · Zbl 0762.34032
[21] Yu, S.; Yu, X.; Shirinzadeh, B.; Man, Z., Continuous finite-time control for robotic manipulators with terminal sliding mode, Automatica, 41, 11, 1957-1964 (2005) · Zbl 1125.93423
[22] Chen, X. H.; Gao, F.; Qian, J. X., Nonlinear adaptive control based on RBF networks and multi-model method, Proceedings of the American Control Conference
[23] Dawson, D. M., Nonlinear Control of Wheeled Mobile Robots (2001), New York, NY, USA: Springer, New York, NY, USA
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.