基于固定时间收敛的终端角约束滑模制导律设计  

Terminal Angle Constraint Sliding Mode Guidance Law Design Based on Fixed-time Convergence

作　　者：张晓宇 张鹏[2] 郑鑫[3] 倪元华[1] ZHANG Xiaoyu;ZHANG Peng;ZHENG Xin;NI Yuanhua(College of Artificial Intelligence,Nankai University,Tianjin 300350,China;College of Intelligent Systems Science and Engineering,Harbin Engineering University,Harbin 150001,Heilongjiang,China;Shanghai Academy of Spaceflight Technology,Shanghai 201109,China)

机构地区：[1]南开大学人工智能学院,天津300350 [2]哈尔滨工程大学智能科学与工程学院,黑龙江哈尔滨150001 [3]上海航天技术研究院,上海201109

出　　处：《空天防御》2020年第3期9-15,共7页Air & Space Defense

基　　金：国家自然科学基金(61773222);国防基础科研项目(JCKY2018203C020)。

摘　　要：为了提高导弹对目标的杀伤性,实现导弹在有界的有限时间内对目标进行成功拦截,提出一种基于固定时间收敛的终端角约束滑模制导律。首先,建立了导弹拦截目标的平面制导系统模型,将目标的机动看作未知的有界扰动;其次,应用固定时间扰动观测器对制导系统的扰动进行观测;再次,基于固定时间收敛滑模控制和固定时间扰动观测器设计终端角约束制导律,证明了制导系统的固定时间稳定性,并给出了制导系统状态的收敛域;最后,通过大量的仿真,验证了所设计的制导律能在保证精确拦截目标的同时实现对目标的指定角度打击。In order to improve the target destruction by the missile and achieve successful interception of the target in a bounded finite time,a terminal angle constraint sliding mode guidance law based on fixed-time convergence is proposed.Firstly,a plane guidance system model of missile intercepting target is established,and the target maneuver is regarded as unknown bounded disturbance.Secondly,a fixed time disturbance observer is used to observe the disturbance of the guidance system.Thirdly,the terminal angle constraint guidance law is designed based on fixed-time convergence sliding mode control and fixed-time disturbance observers.The fixed-time stability of the guidance system is proved,and the convergence domains of guidance system states are given.Finally,it is verified that the designed guidance law can achieve intercepting the target at a specified angle while ensuring accurate interception via numerical simulations.

关 键 词：终端角约束 固定时间扰动观测器 固定时间收敛滑模控制 固定时间稳定 

分 类 号：TJ765.3[兵器科学与技术—武器系统与运用工程]