多约束超螺旋滑模变结构制导律

doi:10.12382/bgxb.2021.0776

摘要/Abstract

摘要：

针对末制导过程中出现的加速度、落点和落角等多约束问题，研究一种多约束2阶超螺旋滑模制导律。将弹目相对运动方程转化为标准2阶系统模型，基于超螺旋(ST)算法设计2阶滑模制导律，使系统能够快速达到收敛，满足对落角的导引精度需要；采用饱和函数代替符号切换函数，消除滑模变结构算法固有的抖振问题；为解决加速度受限问题，设计带辅助系统(AS)的制导律。数字仿真结果表明，所设计的制导律能以期望的攻击角度和落角精确命中目标，与现有的1阶滑模制导律相比，收敛速度更快，制导精度更高。

关键词: 超螺旋算法, 滑模变结构制导律, 辅助制导律, 多约束

Abstract:

Regarding the terminal guidance with accelerated speed, impact point and impact angle constraints, an multiple-constraint super-twisting guidance law for guided projectiles is proposed. First, to simplify the design process, the relative motion model of the missile and the target is converted into a standard second-order form. By applying the Super-Twisting (ST) algorithm, the guidance system can realize convergence faster. By replacing the sign function with saturation function, vibration is decreased. Moreover, an auxiliary guidance scheme is designed by adopting the auxiliary system (AS) theory to solve the problem of accelerated speed constraints. The simulation results indicate that suggested super-twisting sliding-mode guidance law is highly precise and can realize anti-windup control.

Key words: super-twisting algorithm, sliding mode guidance law, auxiliary guidance law, multiple constraints

周蒙, 钱惟贤, 任侃. 多约束超螺旋滑模变结构制导律[J]. 兵工学报, 2023, 44(3): 799-805.

ZHOU Meng, QIAN Weixian, REN Kan. Study of the Guidance Law for Super-Twisting Sliding-Mode Guided Projectiles with Multiple Constraints[J]. Acta Armamentarii, 2023, 44(3): 799-805.

图/表 8

图1 弹目相对运动关系

Fig. 1 Relative motion between a guided projectile and a target

图2 导弹加速度

Fig. 2 Accelerated speed of the guided projectile

图3 滑模面误差

Fig. 3 Sliding-mode surface error

图4 滑模函数的1阶导数

Fig. 4 Derivative of the sliding-mode surface

图5 导弹弹道曲线

Fig. 5 Trajectory of the guided projectile

图6 导弹弹道倾角

Fig. 6 Trajectory obliquity of the guided projectile

图7 导弹视线角速度

Fig. 7 Line-of-sight velocity of the guided projectile

图8 辅助系统的输入和输出变量

Fig. 8 Input and output variables of the auxiliary system

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