Control of a Rotating Variable-Length Tethered System
Control of a Rotating Variable-Length Tethered System
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DOI：
10.2514/1.3226
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发表时间：
2004-09
影响因子：
2.6
通讯作者：
Mischa Kim;C. Hall
中科院分区：
文献类型：
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作者：
Mischa Kim;C. Hall
本文研究了由n个质点组成的系留卫星系统的运动控制问题。特别地，讨论了具有n =3个点质量和m =3个系绳的三角形对称TSS的控制问题。利用拉格朗日方程导出了运动方程。几个使命的情况下，建议美国宇航局的使命，考虑红外望远镜的操作和渐近跟踪法律的基础上，输入状态反馈线性化。讨论了期望使命轨迹的光滑性和非光滑性对控制性能的影响。结果表明，所需的推力水平可以显着降低通过使用额外的系绳长度控制，以保持TSS在一个状态对应的瞬时相对平衡在任何时间点在使命。在最后一节中，提出了一个数学模型的总所需的控制脉冲，以促进贸易的研究，讨论了控制输入的各个系统参数的影响。
Techniques are developed and illustrated to control the motion of a tethered satellite system (TSS) comprising n point masses and interconnected arbitrarily by m idealized tethers. In particular, the control problem of a triangular and symmetrical TSS with n =3 point masses and m =3 tethers is discussed. The equations of motion are derived by the use of Lagrange’s equations. Several mission scenarios for a proposed NASA mission that consider the operation of an infrared telescope are introduced and asymptotic tracking laws based on input-state feedback linearization are developed. The effects of smoothness and nonsmoothness of desired mission trajectories on control performance are discussed. It is shown that required thrust levels can be significantly decreased by the use of additional tether length control to keep the TSS in a state corresponding to an instantaneous relative equilibrium at any point in time during the mission. In the final section, a mathematical model is proposed for the total required control impulse to facilitate a trade study that discusses the effects of the individual system parameters on the control input.