Global set stabilisation of the spacecraft attitude using finite-time control technique
Authors:
- 8 April 2009
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 82 (5) , 822-836
Abstract
In this article, we revisit the classical problem of attitude stabilisation for a rigid spacecraft with external disturbances. A global set stabilisation method using finite-time control technique is proposed. In the absence of disturbances, the states of the closed loop system will be stabilised in finite time to a set consisting of two equilibria. In the presence of disturbances, the states will be stabilised to a neighbourhood of this set. By constructing a particular Lyapunov function, it is proved that the closed-loop system satisfies global set stability. The control method in this article is based on set control idea and thus is more natural and energy-efficient. Numerical simulation results show the effectiveness of the method.Keywords
This publication has 28 references indexed in Scilit:
- Stability considerations in quaternion attitude control using discontinuous Lyapunov functionsIEE Proceedings - Control Theory and Applications, 2004
- Non-singular terminal sliding mode control of rigid manipulatorsAutomatica, 2002
- Almost global stabilization of the inverted pendulum via continuous state feedbackAutomatica, 2001
- On an output feedback finite-time stabilization problemIEEE Transactions on Automatic Control, 2001
- Finite-Time Stability of Continuous Autonomous SystemsSIAM Journal on Control and Optimization, 2000
- A topological obstruction to continuous global stabilization of rotational motion and the unwinding phenomenonSystems & Control Letters, 2000
- Continuous finite-time stabilization of the translational and rotational double integratorsIEEE Transactions on Automatic Control, 1998
- State feedback ℋ/sub ∞/-suboptimal control of a rigid spacecraftIEEE Transactions on Automatic Control, 1997
- Variable-structure control of spacecraft attitude maneuversJournal of Guidance, Control, and Dynamics, 1988
- Finite Time ControllersSIAM Journal on Control and Optimization, 1986