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Stability Analysis of the ClosedLoop System of a PhasePlane Controlled Rigid Satellite

 CHEN  Zhi-Hua, XIE  Yong-Chun   


  1. 1.Beijing Institute of Control Engineering, Beijing 100190, China;2.Science and Technology on Space Intelligent Control Laboratory, Beijing 100190, China;3.Tianjin Key Laboratory of Microgravity and Hypogravity Environment Simulation Technology, Tianjin 300301, China.
  • Online:2018-02-26 Published:2018-03-15
  • Supported by:

    Supported by National Key Basic Research and Development (973) Program (2013CB733100) and State Key Program of National Natural Science of China (61333008).

Abstract: Abstract:Considering the problem of stability analysis of the satellite attitude system controlled by a phaseplane controller, a simplified phaseplane control method is proposed, and then the stability of the rigid satellite attitude system under the proposed controller is investigated in detail. By estimating the closedloop system’s trajectories with the phaseplane analysis method, the existence of a stable region of the closedloop system is proved, which satisfies certain properties. The formula to determine the stable region is derived in terms of control parameters. Under certain conditions, it is proved that the trajectories can reach the stable region in finite time from any initial value. Therefore, the sufficient condition is obtained to guarantee the globally uniformly ultimate boundedness of the closedloop system. In addition, the formula to estimate the reach time is provided. Simulations are provided to illustrate the effectiveness of proposed formulas and methods.  

Key words: Keywords:rigid satellite, phaseplane control, stability, phaseplane analysis, reachability, globally uniformly ultimate boundedness

CLC Number: 

  • V448.2