Optimal control for state-keeping stage of tethered satellite with random perturbation
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摘要: 在考虑系绳弹性的情况下, 建立绳系卫星轨道面内运动的动力学模型, 并在系统平衡位置线性化, 得到绳系子星在随机扰动作用下的稳态保持状态方程. 引入基于卡尔曼滤波的状态估计方法和最优状态反馈控制策略, 提出了保持系统稳态运行的控制方法, 并以YES2空间系绳试验为参考模型设计了稳态保持控制系统. 分别在不考虑系绳弹性和考虑系绳弹性的系统模型下进行相应仿真分析, 结果表明所提出的控制方法能使系统具有良好的抗干扰性能, 系绳控制张力变化平缓且幅值小, 提高了系统状态保持阶段的可靠性和安全性. 同时系绳刚度系数的减小可使系绳纵向振动加剧, 但对横向摆动影响较小, 这为选取合适的系绳材料提供了理论参考.Abstract: The dynamic equations of a Tethered Satellite System (TSS) with elastic tether were established. This model was linearized at the equilibrium position, and the influence of random perturbation on TSS was considered. In order to fulfill the station-keep control of the TSS along orbits, by integrating Kalman filter with the optimal state feedback control, a control scheme based on the 2nd Young Engineers' Satellite (YES2) project was proposed. Finally, simulation analyses based on the models with considering elasticity and neglecting elasticity were made respectively. Simulation results show that the system under proposed law has good anti-ja mming performance. Besides, the tether tension changes smoothly and its amplitude is small, so that the TSS has superior reliability and security. And with the decrease of stiffness, the tether longitudinal vibration increases, which could provide ideas for selecting the appropriate tether material.
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Key words:
- Tethered satellite /
- State-keeping /
- Random perturbation /
- Kalman filter /
- Optimal control
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