航空学报 > 2013, Vol. 34 Issue (8): 1915-1923   doi: 10.7527/S1000-6893.2013.0173

基于分数阶滑模的挠性航天器姿态鲁棒跟踪控制

邓立为, 宋申民   

  1. 哈尔滨工业大学 控制理论与制导技术研究中心, 黑龙江 哈尔滨 150001
  • 收稿日期:2012-10-19 修回日期:2013-03-18 出版日期:2013-08-25 发布日期:2013-03-25
  • 通讯作者: 宋申民 E-mail:songshenmin@hit.edu.cn
  • 作者简介:邓立为 男,博士研究生。主要研究方向:分数阶系统、航天器制导与控制。Tel:0451-86402204-8212 E-mail:dengliwei666@163.com;宋申民 男,博士,教授,博士生导师。主要研究方向:航天器轨道机动与姿态控制、非线性鲁棒控制与智能控制、先进滤波方法与组合导航等。Tel:0451-86402204-8214 E-mail:songshenmin@hit.edu.cn
  • 基金资助:

    国家自然科学基金(61174037);国家"973"计划(2012CB821205);CAST创新基金(CAST20120602)

Flexible Spacecraft Attitude Robust Tracking Control Based on Fractional Order Sliding Mode

DENG Liwei, SONG Shenmin   

  1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China
  • Received:2012-10-19 Revised:2013-03-18 Online:2013-08-25 Published:2013-03-25
  • Supported by:

    National Natural Science Foundation of China (61174037);National Basic Research Program of China (2012CB821205);Innovation Fund of China Academy of Space Technology (CAST20120602)

摘要:

针对挠性航天器姿态跟踪控制问题,提出一种新型的具有强鲁棒性的分数阶滑模控制器。利用分数阶微分算子的快速收敛性与信息记忆性,在滑模面与控制输入中均引入分数阶微分算子,使新型控制器具有分数阶微分与滑模控制的双重优点,从而使姿态跟踪控制系统具有更好的快速性、强鲁棒性和良好的抗干扰性。进一步使用Lyapunov理论与分数阶稳定性理论证明了整个系统的稳定性,分析了分数阶滑模面的优点。数值仿真验证了分数阶滑模控制器的有效性与良好的控制性能。

关键词: 挠性航天器, 分数阶滑模, 分数阶微积分, 强鲁棒性, 姿态跟踪

Abstract:

A new robust fractional order sliding mode controller is proposed for flexible spacecraft attitude tracking control. The fractional differential operator is used both in the sliding surface and control input because of its rapid convergence and information memory, and the new controller has the dual advantage of a fractional differential operator and a sliding mode control, so that the flexible spacecraft attitude tracking control system has rapid convergence and strong robustness to external load disturbances and parameter variations. Furthermore, the stability of the whole system is proved by Lyapunov theory and fractional stability theory, and the convergence advantages of a fractional order sliding surface are analyzed. Numerical simulations are also included to reinforce the analytic results and to validate the excellent effect of the new robust fractional order sliding mode controller.

Key words: flexible spacecraft, fractional order sliding, fractional calculus, strong robustness, attitude tracking

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