考虑落角约束的制导炸弹有限时间控制制导律

为了提高制导炸弹对目标的毁伤能力,更加有效地约束终端落角,利用终端滑模变结构控制理论和有限时间收敛性理论,在选取自适应趋近律和建立弹目相对运动模型的基础上,提出了一种考虑落角约束的制导炸弹有限时间控制制导律。然后,利用Lyapunov理论证明了所选取的滑模面和趋近律是有限时间收敛的。通过仿真实验验证了所提算法的有效性。仿真结果表明:与比例制导律相比,所提制导律既能使制导炸弹在有限时间内收敛到所期望的入射约束角附近,又能使炸弹的视线角及其角速度收敛的更快,具有一定的工程应用价值。

Finite Time Control Guidance Law for Guided Bombs Considering Impact Angle Constraints

In order to improve the destructive ability of guided bomb to target and restrain the terminal angle more effectively, the terminal sliding mode variable structure control theory and the finite time convergence theory are used to select the adaptive reaching law and establish the relative motion model of missile and target. A finite-time control guidance law of guided bomb considering the fall angle constraint is proposed. Then, Lyapunov theory is used to prove that the selected sliding surface and the reaching law converge in finite time. The effectiveness of the proposed algorithm is verified by simulation experiments. The simulation results show that, compared with the proportional guidance law, the proposed guidance law can not only make the guidance bomb converge to the expected incident constraint angle in a finite time, but also makes the angle of sight of the bomb and its angular velocity converge faster, which has certain engineering application value.