Abstract
The performance of attitude stabilization control algorithms for rigid spacecraft can be limited by disturbances. In this paper, the global finite-time attitude stabilization problem with disturbances is investigated and handled by constructing a second-order sliding mode controller. Firstly, a virtual controller based on set stabilization idea is constructed to globally finite-time stabilize the system. Then, a relay polynomial second-order sliding mode controller is constructed to guarantee that the tracking error toward the virtual controller will converge to zero in finite-time. Finite-time Lyapunov theory is applied to support the proof and stability analysis. The global finite-time stability holds even with bounded disturbances. The effectiveness and feasibility of the controller are illustrated by the numerical simulations.
Highlights
In recent years, the attitude stabilization control of the spacecraft has attracted extensive attentions due to its prominent role in space missions [1,2,3], such as spacecraft pointing, maneuvering, etc
In order to improve the dynamic performance of the attitude control system, finite-time control schemes have attracted the investigate attentions from researchers
Among the algorithms investigated for finite-time attitude stabilization, sliding mode control approaches have been proved to be effective owning to their robustness to disturbances
Summary
The attitude stabilization control of the spacecraft has attracted extensive attentions due to its prominent role in space missions [1,2,3], such as spacecraft pointing, maneuvering, etc. In order to improve the dynamic performance of the attitude control system, finite-time control schemes have attracted the investigate attentions from researchers. Among the algorithms investigated for finite-time attitude stabilization, sliding mode control approaches have been proved to be effective owning to their robustness to disturbances. The discontinuous control inputs lead to the chattering phenomenon To this end, HOSM methods are applied in spacecraft to address chattering and guarantee the finite-time convergence as well. The motivation of this investigation is to design a controller which can derive global finite-time stability of the system when dealing with disturbances. In this paper, inspired by the set stabilization idea, a relay polynomial SOSM (RPSOSM) controller will be constructed by using a backstepping-like way to handle the global finite-time attitude stabilization problem.
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