高超声速机动目标拦截多约束解析捕获区  

Multiple constrained analytical capture region for hypersonic maneuvering target interception

作　　者：谭一廷 荆武兴[1] 高长生[1] 安若铭[1] TAN Yiting;JING Wuxing;GAO Changsheng;AN Ruoming(Department of Aerospace Engineering,Harbin Institute of Technology,Harbin 150001,China)

机构地区：[1]哈尔滨工业大学航天学院,哈尔滨150001

出　　处：《航空学报》2023年第22期196-212,共17页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(12072090)。

摘　　要：为快速评估远程拦截末段有效作战态势,在拦截器视场和饱和加速度约束下,构建了机动形式方向任意且有界的高超声速目标拦截解析捕获区。为适配该类目标拦截场景,首先引入了渐近收敛的抗干扰末制导律以进行捕获区分析。其次通过构建复合李雅普诺夫函数,并将非线性规划技术用于不等式分析,最终推导了由修正的初始接近速度、初始视线法向相对速度和拦截器初始速度前置角三者的解析捕获条件构成的多约束捕获区以及制导增益允许取值范围。理论证明了在增益设置满足所给范围情况下,拦截器从该捕获区内任意初始状态点出发,均能有效拦截任意有界机动目标且保证制导加速度不超过允许上限以及视场约束全程满足,并满足终端脱靶量小于允许阈值且接近速度小于容许碰撞速度。对比仿真验证了所得结论的正确性,并分析了捕获区影响因素和变化规律,可为增大初始阵位可控裕度提供参考。To fast evaluate the reasonable situation of terminal phase of long-range interception,the analytical capture region for intercepting arbitrary bounded maneuvering hypersonic target with constraints of field of view and accelera⁃tion saturation is investigated.To fit the above target interception scenario,the terminal guidance law with asymptotic convergence and disturbance rejection is firstly introduced to develop the capture region.By constructing a composite Lyapunov function and employing the nonlinear programming technique for inequalities analysis,the multiple con⁃strained capture region is finally derived,which is constituted by the modified capture conditions with respect to the ini⁃tial closing speed,initial transversal relative speed and initial heading angle of interceptor.The allowable range of guid⁃ance gain is also obtained.It is theoretically proved that when the gain is set within the applicable range,the intercep⁃tor can effectively intercept arbitrary bounded maneuvering target under arbitrary initial conditions given in the proposed capture region,as well as satisfy the field of view constraint and the maximum acceleration limitation throughout the whole process.Meanwhile,it can be guaranteed that the terminal miss distance is less than the allowable threshold value,and the closing speed is less than the allowable impact speed.Comparative simulations validate the validity of proposed conclusions and reveal the influencing factors of capture region,which can provide a reference for increasing the controllable margin of initial encountering formation.

关 键 词：导弹制导 多约束捕获区 视场约束 饱和过载 任意有界机动目标 

分 类 号：V448.133[航空宇航科学与技术—飞行器设计]