基于多变量超扭曲滑模的三维终端角度约束制导律  

Three-dimensional guidance law with terminal angle constraint based on multivariable super-twisting sliding mode

作　　者：赵斌[1] 项天阳 ZHAO Bin;XIANG Tian-yang(Institute of Precision Guidance and Control,Northwestern Polytechnical University,Xi’an 710072,China)

机构地区：[1]西北工业大学精确制导与控制研究所,西安710072

出　　处：《控制与决策》2024年第11期3577-3585,共9页Control and Decision

基　　金：国家自然科学基金项目(62373307);中央高校基本科研业务费专项资金项目(G2022KY0608)。

摘　　要：针对机动目标三维拦截末制导问题,提出一种考虑终端角度约束的超扭曲滑模制导律.首先设计一种新型多变量超扭曲滑模算法,基于Lyapunov稳定性理论证明其有限时间稳定性,并定量分析算法的收敛时间;其次,建立三维交战场景下的弹目相对运动学,将制导问题转化为关于视线角的二阶多变量系统控制问题;然后,基于改进的多变量超扭曲滑模算法设计带终端角度约束的三维制导律;最后,通过多场景的对比仿真和蒙特卡洛模拟仿真,验证了所提出方法的有效性.A three-dimensional guidance law for maneuvering targets based on super-twisting sliding mode control is proposed.Firstly,a novel multi-variable super-twisting sliding mode algorithm is proposed,and its finite-time stability is proved based on the Lyapunov stability theory.The quantitative analysis of the convergence time is also carried out.Secondly,the missile-target relative kinematics in a three-dimensional engagement scenario is established,and the guidance law design is transformed into a control problem of second-order multi-variable system.Thirdly,a three-dimensional guidance law with terminal angle constraint is designed based on the improved multi-variable super-twisting sliding mode algorithm.Finally,the effectiveness of the proposed method is verified through comparative simulations and Monte Carlo simulation.

关 键 词：三维制导 终端角约束 超扭曲算法 多变量滑模 收敛时间 多变量系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]