三维自适应有限时间超螺旋滑模制导律

Three-dimensional adaptive finite-time super-twisting sliding mode guidance law

针对导弹以固定终端攻击角拦截机动目标的制导问题,提出一种三维自适应有限时间超螺旋滑模制导律。首先,利用相对运动质点模型将三维制导问题转换为二阶视线角系统的控制问题。其次,构造一种多变量非奇异的快速终端滑模面,结合改进型超螺旋算法,设计了有限时间超螺旋滑模制导律。同时,通过参数自适应增益实时在线估计目标机动引起的外部扰动上界,设计了自适应有限时间超螺旋滑模制导律。然后,利用Lyapunov稳定性理论进行了闭环系统有限时间收敛性能分析。最后,通过仿真分析验证了所提方法在保证良好拦截精度的同时,具有更强的鲁棒性和更高的终端攻击角控制精度。

Aiming at the guidance problem of intercepting maneuvering target with fixed terminal attack angle,a three-dimensional adaptive finite-time super-twisting sliding mode guidance law is proposed.Firstly,the three-dimensional guidance problem is transformed into the control problem of the second-order line-of-sight angle system by using the relative motion particle model.Secondly,a multi-variable nonsingular fast terminal sliding surface is constructed,and the finite-time super-twisting sliding mode guidance law is designed by combining the improved super-twisting algorithm.At the same time,the upper bound of external disturbance caused by target maneavering is estimated online by parameter adaptive gain,and the adaptive finite-time super-twisting sliding mode guidance law is designed.Then,the finite-time convergence performance of the closed-loop system is analyzed by using the Lyapunov stability theory.Finally,the simulation results show that the proposed method has better robustness and higher terminal attack angle control accuracy while ensuring good interception accuracy.