Journal of Astronautics ›› 2016, Vol. 37 ›› Issue (7): 839-845.doi: 10.3873/j.issn.1000-1328.2016.07.010

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A Novel High Order Sliding Mode Controller Design for Tethered Satellite

LIU He long, HE Ying zi, TAN Shu ping   

  1. 1. Beijing Institute of Control Engineering, Beijing 100190,China;
     2. Science and Technology on Space Intelligent Control Laboratory, Beijing 100190,China
  • Received:2015-08-21 Revised:2016-01-05 Online:2016-07-15 Published:2016-07-25


This paper focuses on controller design for the tethered satellite systems. The dynamic equations of the tethered system in orbital maneuvering are established and the in-plane motion is formulated as a typical underactuated system. In order that the underactuated system can be forced to track the expected in-plane angle trajectory, an integrator chain system is derived for a redefined sliding surface and a tether tension control law is proposed based on a novel high-order sliding mode. This control law guarantees high-accuracy tracking and provides a chattering-free performance. After the establishment of a high-order sliding mode with respect to the redefined sliding surface in finite time, the closed-loop system is linearized at the equilibrium point. Afterwards, the closed-loop system is proved locally and asymptotically stable based on the Routh Criterion. Simulation results demonstrate the usefulness and effectiveness of the proposed control methodology.

Key words: Tethered satellite, Orbital transfer, Novel high-order sliding mode, Linearization, Chattering-free

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