系统工程与电子技术

• 制导、导航与控制 • 上一篇    下一篇

基于滑模变结构的弹道跟踪制导律设计

张大元1,雷虎民1,吴玲2,邵雷1,李炯1   

  1. 1. 空军工程大学防空反导学院, 陕西 西安 710051; 2. 辽宁大学经济学院, 辽宁 沈阳 110036
  • 出版日期:2014-04-24 发布日期:2010-01-03

A trajectory tracking guidance law based on sliding mode  variable structure control

ZHANG Da-yuan1,LEI Hu-min1,WU Ling2,SHAO Lei1,LI Jiong1   

  1. 1.Air and Missile Defense College, Air Force Engineering University, Xi’an 710051, China; 2. School of Economics, Liaoning University, Shenyang 110036, China
  • Online:2014-04-24 Published:2010-01-03

摘要: 针对防空导弹弹道跟踪问题,基于滑模变结构理论设计了一种弹道跟踪制导律。首先,采用弹道坐标变量而不是时间变量对导弹质点运动模型线性化,得到允许扰动范围更大的线性化模型;接着,基于单输入线性系统滑模变结构控制理论设计滑模面和制导指令,并给出制导系统工作原理;最后,在一定干扰作用下,将所设计的跟踪制导律应用于导弹质点运动仿真,从模型优劣、抑制随机风干扰能力、鲁棒性等方面进行分析,并与线性二次型调节器(linear quadratic regulator, LQR)跟踪制导律进行了比较,结果表明,该线性化模型与以时间为自变量的线性化模型相比具有一定优势,且滑模制导律对模型不确定性具有更好的鲁棒性。

Abstract: A trajectory tracking guidance law is proposed based on the theory of sliding mode variable structure control, which can help solve the problem of trajectory tracking for air-defense missile. Firstly, the missile mass model is linearised according to the coordinate variable instead of the time variable. Secondly, the sliding mode surface and the guidance commond are designed based on the theory of sliding mode variable structure control for the single input linear system, and the principle of the guidance system is given. Finally the guidance law is evaluated with certain wind disturbation, in terms of the advantage of the model, the guidance law’s abilities to deal with disturbation and robustness and then compared with the guidance law of the linear quadratic regulator (LQR). Results show that the model used in this article is better than the traditional one which is linearised according to the variable of time, and the sliding mode variable structure control guidance law is better than the LQR guidance law in the robustness to uncertain model errors.