基于双幂次趋近律的导弹终端滑模制导方法

Method of Missile Terminal Sliding Mode Guidance with Double Power Approach Law

针对导弹使用的传统滑模制导方法和传统滑模趋近律在末端制导中存在收敛速度慢、消耗时间长及抖振现象严重等缺点,提出了一种使用双幂次趋近律的导弹终端滑模制导方法。使用终端滑模控制方法结合非线性函数,构造Terminal滑模面,以提高导弹的动态响应速度,运用双幂次趋近律,结合终端滑模的控制思想及新型趋近律的思想设计新型Terminal滑模制导律,并对其进行Lyapunov稳定性分析和仿真。结果表明,设计的新型导引律与传统幂次趋近律的导引律对比,具有更快的收敛速度,使导弹在实战中的应用性能更优。

In view of the shortcomings of the traditional sliding mode guidance method and the traditional sliding mode approach law in terminal guidance,such as slow convergence speed,long consumption time and serious chattering phenomenon,a terminal sliding mode missile guidance method using the double power approach law is proposed.Firstly,Terminal sliding mode control method combined with nonlinear function is used to construct Terminal sliding mode surface,so as to improve the dynamic response speed of the missile.The double power reaching law is applied to design the new Terminal sliding mode guidance law combined with the Terminal sliding mode control thought and the new reaching law thought,and Lyapunov stability analysis and simulation are carried out on it.The results show that the new guidance law,comared with the traditional power approach law,has faster convergence speed and better application performance.