Backstepping-like nonlinear control for the deployment of tethered satellite system in elliptical orbits
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(1.Institute of Telecommunication Satellite, China Academy of Space Technology, Beijing 100094, China; 2.Aerospace Department, China Aerospace Science and Technology Corporation, Beijing 100048, China; 3.School of Astronautics, Harbin Institute of Technology, Harbin 150001, China)

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TP273.3

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    Abstract:

    To solve the stability and fast deployment problems of tethered satellite system (TSS) in elliptical orbits, a novel backstepping-like nonlinear control algorithm was proposed based on the traditional backstepping control method. Different from the traditional backstepping method which is only suitable for strict feedback systems, the proposed backstepping-like nonlinear control has a wider range of application that it can be applied to the control of non-strict feedback systems and can improve the control performance with effective use of the nonlinear model. First, the nonlinear dynamic model for the deployment of TSS in elliptical orbit was established based on the Lagrangian mechanics, and the dimensionless system model was further simplified with a new dimensionless transformation. Then, by utilizing the simplified model, a backstepping-like nonlinear control method was proposed to deal with the coupling characteristics of the system model, and the Lyapunov function was adopted to verify the asymptotic stability of the system states. Finally, simulation experiments of non-linear control and PID control for the deployment of TSS in elliptical orbit were carried out, and the effectiveness of the proposed backstepping-like nonlinear control was verified by comparison. Simulation results show that the proposed method deployed the tether satellite effectively and stably and achieved better performance than the classical PID controller.

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History
  • Received:April 14,2019
  • Revised:
  • Adopted:
  • Online: April 12,2020
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