挠性卫星快速机动光滑控制

Smooth Control for Quick Maneuver of Elastic Satellites

着力求出一种光滑的正弦序列控制,该控制律执行挠性卫星快速机动任务的同时抑制振动。推导得到挠性振动的解析解,当正弦序列加权系数满足一定条件时,中心刚体自动满足静止-静止边界条件,然后通过非线性规划优化加权系数,得到一组残余振动指标次优解。相关公式表明该优化解能较大程度抑制挠性振动,且相应残余振动对模态参数鲁棒性好。数学仿真在5阶模态挠性对象上开展,结果显示该方法有较强的抑振能力,对频率误差不敏感,且控制方法是开环的,适合作为卫星快速机动前馈输入。

This article concentrates on a kind of smooth control which consists of series of sinusoids. The method carries out quick slewing for elastic satellites and meanwhile restrains vibration suppression. Analytic solutions of elastic vibration are obtained by derivation. Rigid body will be rest to rest automatic when coef- ficients of sinusoids satisfy some equations, and then optimization is done towards the coefficients which lead to a residual vibration suboptimal solution by nonlinear programming. Relevant formula shows the optimized solution suppresses much vibration and possesses great robustness towards elastic parameters. Numeric simu- lation is carried out on a plant with five elastic modes. The results indicate the method＇ s strong ability in restraining residual vibration. The method here is an open-loop one which can be used as feedforward con- trol.