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多旋转关节式空间太阳能电站姿态时变LQR控制

ATTITUDE TIME-VARYING LQR CONTROL OF THE MULTI-ROTARY JOINTS SPACE SOLAR POWER STATION

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【作者】 叶哲张开明邬树楠刘宇飞吴志刚

【Author】 YE Zhe;ZHANG Kaiming;WU Shunan;LIU Yufei;WU Zhigang;School of Aeronautics and Astronautics, Dalian University of Technology;Qian Xuesen Laboratory of Space Technology;State Key Laboratory of Structural Analysis For Industrial Equipment, Dalian University of Technology;

【机构】 大连理工大学航空航天学院中国空间技术研究院钱学森空间技术实验室大连理工大学工业装备结构分析国家重点实验室

【摘要】 空间太阳能电站作为一种洁净的、可再生能源系统得到了广泛的关注。目前的研究主要将电站当作单刚体/柔性体、且将对日与对地指向运动分别建模与控制,忽略了之间的耦合作用。因而增加了空间太阳能电站高精度、高稳定度姿态稳定控制的难度。针对上述问题,本文以多旋转关节式空间太阳能电站为研究对象,将其视为运行于地球静止轨道的多刚体结构,并基于欧拉法建立空间太阳能电站的考虑对日与对地指向耦合的姿态动力学模型;同时,分析并计算主要空间干扰力矩,包括重力梯度力矩和太阳光压力矩等。根据所建立的时变动力学模型,提出姿态时变LQR控制器。最后,采用自主开发的PIMCSD控制工具箱求解在一个轨道周期内周期Riccati微分方程,进而获得时变的姿态稳定控制律,验证其对模型参数变化与摄动的鲁棒性,并与传统的PD控制进行比较。

【Abstract】 Nowadays, space solar power station have received wide attention as a system for obtaining clean, renewable energy. The current research mainly regards the SSPS as a single rigid body or flexible body. The sunpointing and earth-tracking motion is considered separately for modeling and control, ignoring the coupling between them. Therefore, it is difficult to control the high-precision and high-stability attitude stability control of the SSPS.In view of the above problems, this paper takes the Multi-Rotary Joints SSPS as the research object, and regards it as a multi-rigid structure running in GEO. Based on the Euler method, a coupled dynamic model of the SSPS sun-pointing and earth-tracking direction is established. Meanwhile, analyze and calculate the perturbation that affects solar array pointing to the sun and microwave antenna’s pointing to the ground, including the gravity gradient torque and the solar pressure torque. According to the established time-varying dynamic model, a timevarying LQR controller is proposed. Finally, the self-developed PIMCSD control toolbox is used to solve the periodic Riccati differential equation in an orbital period, and then the time-varying attitude stability control law is obtained to verify its robustness to model parameter variation and perturbation, and to the traditional PD control is compared.

【基金】 国家自然科学基金(11432010&11572069)~~
  • 【会议录名称】 中国力学大会论文集(CCTAM 2019)
  • 【会议名称】中国力学大会(CCTAM 2019)
  • 【会议时间】2019-08-25
  • 【会议地点】中国浙江杭州
  • 【分类号】TM615
  • 【主办单位】中国力学学会、浙江大学
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