系统工程与电子技术

• 制导、导航与控制 • 上一篇    下一篇

基于扰动观测器的终端角约束滑模导引律

王晓芳,郑艺裕,林海   

  1. 北京理工大学宇航学院, 北京 100081
  • 出版日期:2014-01-20 发布日期:2010-01-03

Sliding mode guidance law with impact angle constraint based on disturbance observer

WANG Xiao-fang,ZHENG Yi-yu,LIN Hai   

  1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
  • Online:2014-01-20 Published:2010-01-03

摘要:

为了对导弹攻击机动目标时的终端角进行约束,提出了一种基于扰动观测器的滑模导引律。将导弹速度的时变、运动目标的机动逃逸等视为对导弹目标相对运动系统的总扰动,采用扰动观测器对总扰动进行有效估计,结合滑模控制理论提出了一种对导弹终端角进行约束的导引律,并基于李雅普诺夫稳定性原理证明了该导引律的渐进稳定性。为满足制导精度并有效地抑制抖振,运用边界层法对该导引律进行了改进,分析并确定了制导精度、边界层厚度和导引律系数之间的关系。仿真结果表明,该导引律具有良好的导引性能和鲁棒性,且与普通的滑模导引律相比,具有较小的导弹最大法向加速度和较平缓的法向加速度变化过程,有利于工程实现。

Abstract:

To control the impact angle of missile attacking maneuver target, a sliding mode guidance law with impact angle constraint is proposed based on disturbance observer. The timevarying uncertainty of missile velocity and the unknown escaping maneuver of target are regarded as the disturbance of system of relative motion between missile and target. The disturbance observer is adopted to estimate the disturbance. Then a guidance law with the impact angle constraint is derived combining the disturbance observer and sliding model control theory, and the asymptotical convergence is demonstrated based on Lyapunov stability theory. To ensure the guidance precision and eliminate the chattering caused by the guidance law, the guidance law is improved furthermore through adopting the boundary layer method. The relationship among guidance precision, boundary layer thickness and guidance law parameters is analyzed. Simulation results show that the proposed guidance law is of good guidance performance and robustness, and of less missile maximum normal acceleration and more gentle change of normal acceleration compared with the general sliding model guidance law, which is more helpful for realization in engineering.