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Hao Wen, Dongping Jin, Haiyan Hu. Time-optimal deployment of a tethered subsatellite based on differential inclusion[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(1): 135-140. DOI: 10.6052/0459-1879-2008-1-2007-063
Citation: Hao Wen, Dongping Jin, Haiyan Hu. Time-optimal deployment of a tethered subsatellite based on differential inclusion[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(1): 135-140. DOI: 10.6052/0459-1879-2008-1-2007-063
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Time-optimal deployment of a tethered subsatellite based on differential inclusion

  • MOE Key Lab of Structure Mechanics and Control for Aircraft, Institute ofVibration Engineering Research,Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaMOE Key Lab of Structure Mechanics and Control for Aircraft, Institute ofVibration Engineering Research,Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

  • Received Date: January 28, 2007
  • Revised Date: September 19, 2007
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    • Abstract
  • This paper presents the nonlinear time-optimal controlfor the three-dimensional deployment process of a tethered subsatellitemodel, which also takes tether elasticity and the mission-relatedstate-control constraints into consideration. Instead of the commonly usedstate-space model, a second-order differential inclusion formulation isexploited in this work to achieve a significant reduction of the number ofsystem variables. The optimal control is solved by discretizing the optimalcontrol problem based on a direct algorithm, and numerically solving theresulting large-scale optimization problem via an NLP (nonlinearprogramming) solver. The case studies in the paper well demonstrate theperformance of the proposed strategy.
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