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三维自适应有限时间超螺旋滑模制导律
引用本文:李军,廖宇新,李珺.三维自适应有限时间超螺旋滑模制导律[J].系统工程与电子技术,2021,43(3):779-788.
作者姓名:李军  廖宇新  李珺
作者单位:中南大学航空航天学院, 湖南 长沙 410083
基金项目:航天器设计优化与动态模拟技术教育部重点实验室(北京航空航天大学)开放基金(2019KF006);湖南省研究生科研创新项目(CX20200304);中南大学中央高校基本科研业务费专项资金(2020zzts761)资助课题。
摘    要: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。

关 键 词:非奇异快速终端滑模  终端攻击角约束  超螺旋算法  有限时间收敛  三维拦截制导律  
收稿时间:2020-06-05

Three-dimensional adaptive finite-time super-twisting sliding mode guidance law
LI.Three-dimensional adaptive finite-time super-twisting sliding mode guidance law[J].System Engineering and Electronics,2021,43(3):779-788.
Authors:LI
Institution:School of Aeronautics and Astronautics, Central South University, Changsha 410083, China
Abstract: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.
Keywords:nonsingular fast terminal sliding mode  terminal attack angle constraint  super-twisting algorithm  finite-time convergence  three-dimensional interception guidance law
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