摘要
针对精确打击任务存在导引头视场受限这一过程约束的制导问题,提出了一种考虑视场限制以及攻击角度和时间多种约束的制导律.首先,在以比例导引项实现精确命中的基础上,利用最优控制理论,采用弹目距离加权控制能耗形式的指标函数,设计了攻击角度控制项,并推导了相应的剩余飞行时间解析预测表达式.其次,基于最优误差动力学方法,设计了攻击时间相关的控制项,保证了攻击时间误差的有限时间收敛.同时,针对导引头视场有限的问题,分析了各控制项对前置角收敛性的影响,利用特定的限制函数确保前置角在整个制导过程中始终处于有效视场内,并给出了前置角的有界性及收敛性证明.数学仿真结果验证了所提出制导律对多约束制导问题的有效性.
To solve the guidance problem of precision strike mission with the process constraint of seeker’s fieldof-view(FOV)limits,a guidance law considering FOV limits and multiple constraints of impact angle and time was proposed.Firstly,based on the proportional navigation(PN)term to achieve accurate hit,utilizing the optimal control theory and the index function in the form of missile-target distance weighted control energy consumption,the impact angle control term was designed,and the corresponding analytical prediction formula of time-togo was derived.Next,based on the optimal error dynamics method,an impact time-dependent control term was designed to ensure the finite time convergence of the impact time error.At the same time,regarding the seeker’s FOV limits,the effects of each control term on the convergence of the lead angle were analyzed,a specific restriction function was used to ensure that the lead angle was always in the effective FOV during the whole guidance,and the boundedness and convergence of the lead angle were also proved.Numerical simulation results demonstrate the effectiveness of the proposed guidance law for multi-constraint guidance problems.
作者
王江
刘经纬
崔晓曦
范卫鹏
WANG Jiang;LIU Jingwei;CUI Xiaoxi;FAN Weipeng(School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China;Institute of Navigation and Control Technology,Beijing 100089,China;Northwest Industries Group Co.Ltd,Xian,Shaanxi 710043,China)
出处
《北京理工大学学报》
EI
CAS
CSCD
北大核心
2024年第1期18-27,共10页
Transactions of Beijing Institute of Technology
基金
国家自然科学基金面上项目(52272358)。
关键词
最优控制
攻击角度控制
攻击时间控制
视场约束
最优误差动力学
optimal control
impact angle control
impact time control
field-of-view constraint
optimal error dynamics
作者简介
王江(1980—),男,博士,教授,E-mail:wjbest2003@163.com;通信作者:刘经纬(1999—),男,硕士生,E-mail:3120210051@bit.edu.cn.
