现实真比例导引拦截任意机动目标捕获区域

主动机动突防技术的发展给大气层外动能拦截带来了严重困难。假设目标机动加速度方向垂直于弹目视线、形式任意且有界，分析了用于大气层外拦截制导的现实真比例导引律（RTPN）对该任意机动目标的捕获区域。首先在考虑拦截器存在机动过载饱和限制的情况下，推导了比例导引系数的选择范围，可使RTPN的制导指令加速度在拦截过程中不超过拦截器饱和过载；其次基于不等式分析方法，在不考虑拦截器过载限制时，推导了RTPN对任意机动目标的捕获区域；然后结合拦截器机动过载限制，推导了RTPN对任意机动目标的更加实用的捕获区域；最后通过数值仿真算例，验证了所提出的理论。     

True proportional navigation with maneuvering target

We analytically obtain the capture regions for the true proportional navigation (TPN) missile guidance law against an intelligently maneuvering target. Two versions of TPN are considered. The first is the original TPN which assumes the commanded lateral acceleration to be directly proportional to the line-of-sight (LOS) rate only, the proportionality factor being an arbitrary constant or dependent only on the initial closing velocity. The other, known as RTPN (realistic TPN), assumes the commanded lateral acceleration to be directly proportional to the LOS rate and also the current closing velocity. The target is assumed to maneuver in such a way as to increase the LOS rate and thus directly oppose the proportional navigation (PN) philosophy of annulling the LOS rate. A necessary and sufficient condition for capture is derived for the original TPN, and using it, the exact capture region is obtained. A sufficient condition for capture is derived for RTPN and is used to obtain its capture region partially. Some necessary conditions for capture are also derived for RTPN and are used to obtain an upper bound on its complete capture region. Using these conditions some important results on the existence of capture regions and a comparative study of capturability of TPN laws are also presented     

三维RTPN的追踪导引研究

描述三维RTPN导引的模型是超越非线性微分方程组，不易求解．常规的方法是进行线性化。通过坐标系的变换和引入辅助向量获得了解析的捕获域和截获时间，并在三维空间内对这种追踪导引过程进行了仿真验算。理论分析和仿真表明：所设计的追踪导引律，能使整个追逃过程是在一个由初始相对距离和初始相对速度确定的平面内进行；当导弹采用RTPN导引，目标分别以IPN、RTPN逃逸和非机动飞行时，拦截TPN逃逸导引的目标能量消耗大，截获时间长，捕获域小。     

助推段防御比例导引法研究

基于助推段防御和比例导引法,分析了拦截弹与目标导弹的相对运动关系并给出了比例导引方程;采用差分法分析了拦截弹与目标导弹的位置关系、构建了数学模型并推导了拦截弹的差分方程;以拦截时间和拦截弹道为研究对象,分析了拦截弹的速度和比例系数对拦截时间和拦截弹道的影响,并对比例导引法的拦截弹道进行了三维仿真。仿真结果表明,助推段防御使用变系数比例导引法,可有效缓解拦截时间与拦截弹机动性之间的矛盾。     

考虑目标安全性的最优协同拦截制导律研究

针对目标和其发射的拦截弹对来袭攻击弹进行协同拦截问题,设计了一种最优协同拦截制导律。建立描述目标、攻击弹和拦截弹三者相对运动关系的模型,引入零控脱靶量对模型进行降阶处理。考虑拦截弹对攻击弹的拦截精度、拦截末端时目标的安全性以及目标、拦截弹的控制能量问题,基于攻击弹-拦截弹零控脱靶量、攻击弹-拦截弹终端横向相对运动速度零控脱靶量、目标-攻击弹零控脱靶量以及目标和拦截弹的加速度,建立了性能指标函数,同时考虑目标和拦截弹加速度的有限性,基于极小值原理设计了最优协同拦截制导律。仿真结果表明,相比目标和拦截弹独立飞行的情况,采用协同拦截制导律,在考虑了目标安全性的前提下,机动性较弱的拦截弹能够以较平直的弹道成功拦截攻击弹。     

Optimal predictive sliding-mode guidance law for intercepting near-space hypersonic maneuvering target

The design of optimal guidance law for intercepting a near-space hypersonic maneuvering target with bounded inputs is considered. Firstly, a maneuvering model for near-space hypersonic aircraft is given. Then, the aircraft acceleration prediction can be obtained using this model with two neural networks. By using the target acceleration prediction, which is taken into account when calculating the Zero Effort Miss(ZEM), an optimal sliding-mode guidance law is proposed to fulfill the guidance task...     

大气层外拦截弹中段耗尽关机制导律

针对采用燃料耗尽方式关机且具有持续定常推力的大气层外拦截弹设计了中段制导律。假设拦截弹在关机后的无控滑行段中与目标相对距离不大．拦截弹与目标的引力加速度差近似为零，则拦截弹中制导的终端约束条件为视线转率为零。根据终端约束推导了推力定向解析表达式，分析了推力定向计算过程中存在的问题．并做了相应的改进。仿真表明．这种制导律具有计算简单、计算无奇异的特点，且在拦截近程弹道导弹时精度较高且鲁棒性好。     

Ideal proportional navigation for exoatmospheric interception

Ideal proportional navigation (IPN) is a natural choice for exoatmospheric interception for its mighty capture capability and ease of implementation. The closed-form solution of two- dimensional ideal proportional navigation was conducted in previous public literature, whereas the practical interception happens in the three-dimensional space. A novel set of relative dynamic equations is adopted in this paper, which is with the advantage of decoupling relative motion in the instantaneous rotation plane of the line of sight from the rotation of this plane. The dimension-reduced IPN is constructed in this instantaneous plane, which functions as a three-dimensional guidance law. The trajectory features of dimension-reduced IPN are explored, and the capture regions of dimension-reduced IPN with limited acceleration against nonmaneuvering and maneuvering targets are analyzed by using phase plane method. It is proved that the capture capability of IPN is much stronger than true proportional navigation (TPN), no matter the target maneuvers or not. Finally, simulation results indicate that IPN is more effective than TPN in exoatmospheric interception scenarios.     

基于机载单天线雷达一维距离数据的地表三维信息优化重建方法

陆地的刚体表面在机载雷达的任意相对运动下具有几何不变性,基于此约束可利用雷达距离像中提取出的地面多个强散射点的一维距离数据,重建出地表的三维信息以及载机未知的运动轨迹.鉴于现有基于雷达远场假设的重建方法无法适用于具有较大近场误差的地面目标重建的问题,提出一种基于雷达近场几何模型的优化重建方法,采用非线性优化方法实现了对...     

Distributed three-dimensional cooperative guidance via receding horizon control

The paper presents a new three-dimensional (3D) cooperative guidance approach by the receding horizon control (RHC) technique. The objective is to coordinate the impact time of a group of interceptor missiles against the stationary target. The framework of a distributed RHC scheme is developed, in which each interceptor missile is assigned its own finite-horizon optimal control problem (FHOCP) and only shares the information with its neighbors. The solution of the local FHOCP is obtained by the constrained particle swarm optimization (PSO) method that is integrated into the distributed RHC framework with enhanced equality and inequality con-straints. The numerical simulations show that the proposed guidance approach is feasible to imple-ment the cooperative engagement with satisfied accuracy of target capture. Finally, the computation efficiency of the distributed RHC scheme is discussed in consideration of the PSO parameters, con-trol update period and prediction horizon.     

机动目标“当前”统计模型与自适应跟踪算法

本文提出机动目标“当前”统计模型的概念并建议用修正的瑞利-马尔科夫过程描述目标随机加速机动的统计特性。文中指出了在机动目标运动模型中状态（机动加速度）估值与状态噪声之间的内在联系。在此基础上提出了具有机动加速度均值及方差自适应的卡尔曼滤波算法。对一维和三维的情形进行了计算机模拟。计算结果表明,在仅对目标位置进行观测的情况下,这类自适应估值算法无论对高度机动或无机动的目标均可绘出较好的位置、速度及加速度估值。     

大气层外拦截弹末制导段的目标搜索算法

以搜索时间最短为设计指标,根据目标相对于拦截弹方向的概率分布,设计了一种搜索算法.分析了采用该搜索算法时,搜索范围、搜索时间以及拦截弹视场角与算法中调节系数的关系.给出了典型情况下的仿真算例,并利用统计方法分析了目标相对于拦截弹方向的概率分布的标准差对搜索时间期望值的影响.仿真表明了该搜索算法的有效性.     

攻击角约束的拦截弹制导控制一体化设计

针对拦截弹的攻击角约束制导问题,提出了一种基于反演滑模和扩张状态观测器(ESO)的制导控制一体化(IGC)设计方法。首先,基于弹目相对运动方程和拦截弹的非线性动力学方程,建立了拦截弹IGC模型,设计了ESO估计目标加速度和自动驾驶仪回路的干扰;在此基础上,基于干扰估计值和反演滑模方法,设计了IGC算法获取虚拟控制力矩,同时基于李雅普诺夫理论分析了闭环系统的稳定性;然后,利用动态控制分配技术将所获取的期望控制力矩分配到实际执行机构;最后,通过仿真结果验证了所设计的IGC+ESO算法的有效性。     

大配平角起始条件下的非线性末制导律研究

针对大配平角误差起始条件下导弹捕获高机动性目标问题，分析了一解非线性末制导运动，得到了稳定性充要条件，基于滑模态控制技术，综合了一种新型的梆－梆末制导律，它是一般非线性末制导运动方程的通解，相对于线性二次型解具有明显的优点：不需目标加速度和剩余时间信息；能够在各种起始大配平角误差条件下收敛。最后给出的仿真算例证明了理论分析的正确性和该制导律的实用价值。     

Pure proportional navigation against time-varying target manoeuvres

Capturability of the pure proportional navigation (PPN) guidance law against a target executing bounded piecewise continuous time-varying manoeuvres is investigated. A qualitative analysis is carried out to obtain a set of sufficient conditions for capture defined on the engagement parameters and initial conditions. These conditions are significantly less restrictive than the ones obtained previously by others using the Lyapunov method. It is shown that the actual capture region for time-varying target manoeuvres, obtained by using the conditions derived, is much larger than that obtained from the Lyapunov technique. We also show that though a bounded tine varying target manoeuvre does change the constant target manoeuvre capture region to some extent, it does not reduce it drastically. Further, we show that the worst case capture region is obtained when the target executes a constant manoeuvre equal to the bound on the manoeuvre level. Some bounds on the missile lateral acceleration are also obtained for certain regions in the engagement plane. These results are generalizations and extensions of existing results on the capturability of the PPN guidance law against targets executing constant or time-varying target manoeuvres     

三维空间拦截的前置追踪变结构制导律(英文)

This article aims to develop a head pursuit （HP） guidance law for three-dimensional hypervelocity interception, so that the effect of the perturbation induced by seeker detection can be reduced. On the basis of a novel HP three-dimensional guidance model, a nonlinear variable structure guidance law is presented by using Lyapunov stability theory. The guidance law positions the interceptor ahead of the target on its tlight trajectory, and the speed of the interceptor is required to be lower than that of the target, A numerical example of maneuvering ballistic target interception verifies the rightness of the guidance model and the effectiveness of the proposed method.     

Clutter Performance of Coherent Pulse Trains for Targets with Range Acceleration

The clutter performance of coherent pulse trains is examined when the duration of the pulse train is increased to values for which range acceleration effects must be taken into account. The problem of target detection against a clutter background with differential Doppler is studied in terms of the range acceleration effects on the conventional Doppler response. Specifically considered are the consequences on the sidelobe level and width of the main Doppler lobe. The analysis shows that the sidelobe level remains essentially unchanged when the range acceleration mismatch becomes significant. However, the main Doppler response broadens in proportion to the magnitude of the acceleration mismatch. Thus, an increase of the signal duration for better Doppler resolution is useful only until acceleration effects spread the Doppler spectrum of the clutter and eliminate the differential Doppler between targets and clutter.     

超音速反舰导弹突防的三维制导建模研究

三维变轨制导律的设计是超音速反舰导弹提高突防能力的有效方法。为了深入研究超音速反舰导弹变轨突防的三维制导规律,针对反舰导弹、拦截弹和目标舰艇之间相对运动的特点,分别建立了三维空间中反舰导弹与拦截弹和反舰导弹与目标舰艇的相对运动矢量方程及其视线速率方程,为超音速反舰导弹变轨突防的三维制导规律研究与仿真提供了基础和前提。     

Area-oriented coordinated trajectory planning of dual-arm space robot for capturing a tumbling target

The growing amount of space debris poses a threat to operational spacecraft and the long-term sustainability of activities in outer space. According to the orbital mechanics, an uncontrolled space object will be tumbling, bringing great challenge to capture and remove it. In this paper, a dual-arm coordinated ‘‘Area-Oriented Capture"(AOC) method is proposed to capture a non-cooperative tumbling target. Firstly, the motion equation of the tumbling target is established, based on which, the dynamic properties are analyzed. Then, the ‘‘Area-Oriented Capture"concept is presented to deal with the problem of large pose(position and attitude) deviation and tumbling motion. An area rather than fixed points/devices is taken as the object to be tracked and captured. As long as the manipulators' end-effectors move to a specified range of the objective areas(not fixed points on the target, but areas), the target satellite will be hugged by the two arms.At last, the proposed method and the traditional method(i.e. fixed-point oriented capture method)are compared and analyzed through simulation. The results show that the proposed method has larger pose tolerance and takes shorter time for capturing a tumbling target.