针对拦截高速机动目标时需要满足以指定攻击角命中目标的要求, 提出了一种带攻击角约束的三维多变量超螺旋固定时间滑模拦截制导律。在弹目三维相对运动模型的基础上, 将制导问题转化为关于视线角的二阶系统控制问题; 根据终端滑模控制理论和多变量超螺旋算法, 分别设计了多变量终端滑模面和带攻击角约束的制导律; 利用Lyapunov函数证明了闭环制导系统固定时间稳定; 通过和非奇异终端滑模制导律的仿真对比, 验证了所设计的制导律具有良好的拦截精度和鲁棒性。

In order to meet the requirements for hitting a target at a specified attack angle while intercepting high-speed maneuvering targets, a three-dimensional multivariable super-twisting fixed-time sliding mode interception guidance law with constraint of attack angle is proposed.Based on the three-dimensional relative motion model of the missile and the target, the interception guidance problem is transformed into a second-order system control problem about line-of-sight angle.Based on the terminal sliding mode control theory and the multivariable super-twisting algorithm, the multivariable terminal sliding mode surface and the interception guidance law with constraint of attack angle are designed respectively.Lyapunov function is used to prove the fixed-time stability of closed-loop guidance system.Simulation comparisons with the non-singular terminal sliding mode interception guidance law show that the proposed interception guidance law has good interception accuracy and robustness.