带落角约束的圆弧比例导引律和偏置比例导引律的研究

为了实现导弹以一定落角命中目标,研究了两种带有落角约束的圆弧比例导引律和偏置比例导引律。首先建立弹目相对运动数学模型和框架动力学数学模型,然后阐述了两种导引律的基本原理,接着对导弹在三维空间内攻击静止与运动目标进行数学仿真试验,仿真实验证明两种导引律都能以较小的脱靶量和期望落角命中目标,最后从原理上和仿真实验上对两种导引律进行了对比研究。     

基于纯比例导引的拦截碰撞角约束制导策略

拦截碰撞角约束制导是当前导弹制导研究的关键问题之一。首先基于理想比例导引（IPN）律拦截非机动目标的解析解,推导了纯比例导引律（PPN）拦截固定目标的解析解,得到了弹目相对距离、制导指令加速度和导弹前置角的显示表达式,并进一步得到了拦截碰撞角与弹目相对运动状态和比例导引系数之间的解析表达式。其次,基于该解析表达式,提出了基于PPN的拦截碰撞角约束制导策略（PPNIACG）,并探讨了在铅垂面内进行落角约束打击和水平面内进行拦截碰撞角约束打击的2种实现方式。最后,以弹道成型制导律（TSG）和最优碰撞角约束制导律（OIACG）为参考,通过数值仿真算例,对PPNIAC的拦截性能进行了对比分析,验证了所提出制导策略的有效性和正确性。     

基于多项式函数求解的落角约束制导律

在攻击坦克、舰艇等特定目标时,需要对导弹的终端落角进行约束,进一步提高战斗部的毁伤效能。针对这一问题,设计了基于多项式函数推导的落角约束制导律。首先在纵向对称平面内建立弹目相对运动学的小扰动线性化模型,利用落角和脱靶量的始端和终端约束条件,推导得到了满足落角约束的制导律的解析表达式。对该制导律进行仿真,仿真结果表明该制导律可以使导弹按照期望落角命中目标。     

一种弹体前置追踪过渡导引律(英文)

为了使弹体追踪法适用于空地导弹的过渡导引,提出了弹体前置追踪法,即在弹体追踪法的姿态角指令中增加前置角,从而使弹轴指向弹目视线上方。最大射程弹道仿真结果表明,使用弹体追踪法作为过渡导引律时初始时刻舵偏角达到10°饱和值,导引律交接段舵偏角突变较大,命中点落角小于60°;而使用弹体前置追踪法时全弹道舵偏角均小于5°,导引律过渡平稳,落角大于60°。针对不同目标分布情况,推算了前置角的计算公式,多条弹道仿真结果表明,使用弹体前置追踪过渡导引律并依据该计算公式选取前置角,各弹道均能达到需用舵偏角小于5°,落角大于60°的指标要求。     

基于落角约束的超声速导弹制导方案研究

针对超声速导弹具有落角约束条件下的制导问题,提出了一种新的设计方案.首先,在中制导俯冲过程中,采用攻击预先设定的虚拟目标方案,达到期望的中制导末端性能指标;然后,开始末制导俯冲段,雷达开机实时攻击实际目标,使导弹在需用过载和导引头框架角约束条件下,以期望落角命中目标.仿真结果表明,该制导律具有期望的性能要求,易于工程实现.     

一种基于滑模非奇异的反舰导弹导引律的设计与仿真

提出了一种反舰导弹滑模非奇异导引律。根据反舰导弹弹道的运动学分析方法,建立了弹目相对运动的数学模型。在非奇异理论的基础上,推导出具有带落角约束的滑模非奇异导引律。通过仿真,表明了该导引律能同时满足脱靶和落角的性能指标,具有优良的鲁棒性,脱靶量更小,精度更高。相比传统的比例导引律,具有更强的实用性和有效性。     

基于偏置比例导引的垂直攻击滑模制导律

为了提高空地导弹毁伤效果,需要对地面固定目标采用大角度乃至垂直打击方式。针对这一需求,设计了一种基于偏置比例导引的垂直攻击滑模制导律。首先在传统的比例导引制导律的基础上增加了一个角度约束偏置项,并结合滑模变结构理论使其滑模变结构化。然后运用自适应滑模趋近律,并采用准滑动模态控制削弱了抖振的影响。仿真结果表明:此制导律控制落角能力较强,同时具有较高的命中精度。整个攻击过程中的弹目视线角速度变化较小,最后以垂直落角攻击目标。     

防空导弹任务规划与协同控制技术研究

针对防空导弹拦截群目标的任务需求，提出了多弹协同作战框架。考虑到实际拦截过程中弹目相对速度和角度较大的问题，建立了导弹拦截目标的能力预测模型，以确保分配结果处于导弹攻击能力范围内，并采用了改进的粒子群优化算法进行任务分配。然后为了兼顾协同制导和命中精度的要求，基于弹道成型和偏置比例导引的思想，结合一致性理论，设计了多弹时间/角度协同制导律。最后通过4枚导弹拦截3个目标的典型场景仿真，证明了方案的有效性。     

基于锥形运动的制导火箭速度控制导引律设计

针对制导火箭落点速度的约束要求,提出了一种采用锥形运动控制导弹飞行速度的导引方法。该方法首先设计了满足速度约束的虚拟目标理想运动轨迹,将导弹减速控制问题转化为对虚拟目标的追踪导引问题,通过建立制导火箭与虚拟目标的相对运动模型,分析了弹目相对位置和相对速度的关系,推导了具有速度控制的导引律一般形式,并采用动态逆控制理论设计了锥形运动控制指令和导引参数。通过数字仿真对比了不同落角约束条件下导弹锥形运动的速度控制效果,结果表明该方法设计的导引律能够满足制导火箭速度约束要求,且制导精度高、控制效果好,为导弹锥形运动速度控制技术提供了参考。     

固定鸭舵二维修正弹比例导引律参数优化

针对固定鸭舵二维修正机构控制力有限和比例导引法控制末段需用过载变化过大的问题,提出了一种基于重力补偿比例导引律的过载阈值控制策略。分析了固定鸭舵二维修正机构的控制力及力矩,以落点弹目距离最小为目标函数,选取纵向和横向平面导引系数及过载阈值为设计变量,在重力补偿比例导引律的基础上建立了导引律参数优化模型,并采用差分进化算法（DE）对其进行优化。最后通过外弹道仿真分别从控制段飞行稳定性、控制效率、控制机构过载及控制精度几个方面与传统比例导引律进行对比分析,同时使用蒙特卡洛法验证了控制策略的有效性。结果表明：与传统比例导引律相比,使用该控制策略提高了二维弹道修正迫弹的控制效率,有效降低了控制末段需用过载,弹道控制段飞行稳定性明显提高。     

Biased PNG law for impact with angular constraint

A new homing guidance law is proposed to impact a target with a desired attitude angle. It is a variation of the conventional proportional navigation guidance (PNG) law which includes a supplementary time-varying bias. The proposed guidance law does not require a time-to-go estimation and has a simpler form. Analytic conditions for fulfilling the guidance goal are also provided. Simulation results demonstrate that the proposed guidance law has wider launch envelopes than the previous one and shows a good performance even against a maneuvering target     

基于Lyapunov稳定性的扩展比例导引律研究

利用虚拟目标概念和三维空间追逃模型,提出了一种基于Lyapunov稳定性的扩展比例导引律。该导引律能同时满足脱靶量要求和末端落角要求,保证了大空域变轨弹道的各段弹道平滑衔接。利用该导引律引导反舰导弹实现了各种形式的大空域变轨弹道。采用大空域变轨弹道有利于提高反舰导弹的机动能力和突防能力。仿真结果证明了所提出的基于Lyapunov稳定性的扩展比例导引律是很有效的。     

被动式寻的导弹的运动跟踪变结构制导

应用运动跟踪变结构控制理论设计被动式寻的导弹的制导律。这种运动跟踪变结构制导律（ＭＴＶＳＧ）可以令导弹－目标相对视线角速度按照给定的运动规律变化,从而增强被动跟踪问题（等价于一个非线性系统）的可观性,同时保证导弹有很高的命中精度。仿真研究表明,在ＭＴＶＳＧ下,系统的可观性明显增强,因此系统状态的估计精度较高。进一步的研究表明,ＭＴＶＳＧ对系统状态估计误差有很强的鲁棒性。ＭＴＶＳＧ的上述各种优点使得导弹有很高的命中精度。     

带落角约束的虚拟目标实时轨迹生成算法

针对导弹带落角约束条件打击目标的要求,在纵向平面内,根据导弹和目标的实时运动轨迹,提出了一种虚拟目标实时轨迹生成算法,并且给出了该算法中所需要的目标实时位置信息的估算方法.仿真结果表明,以该算法得出的虚拟目标轨迹作为导弹的跟踪对象,采用变结构导引律能满足落角约束条件,并且能够提供很高的命中精度,从而证明了该算法的正确性和有效性,为带落角约束条件打击目标提供了一种新的思路和途径.     

Generalized guidance law for homing missiles

The concept of a generalized guidance law is presented, and the closed-form solution for a homing missile pursuing a maneuvering target according to generalized guidance laws is given. It is shown that the guidance laws appearing in the literature are merely special cases of the one proposed by the authors. The derived generalized forms of capture area, missile acceleration, and homing time duration that are derived provide insight into the performance of the guidance laws being considered and lead to the discovery of new ones. The problem of finding a nonlinear optimal guidance law for a homing missile with controlled acceleration, applied so as to capture a maneuvering target with a predetermined trajectory while minimizing a weighted linear combination of time of capture and energy expenditures, is solved in closed form. The derived optimal control law is equal to the LOS (line of sight) rate multiplied by a trigonometric function of the aspect angle. Numerical simulation shows that the resulting guidance law appears to yield a significant advantage over true proportional navigation     

攻击地面固定目标寻的导弹的一体化制导与控制(英文)

This paper presents a scheme of integrated guidance and autopilot design for homing missiles against ground fixed targets. An integrated guidance and control model in the pitch plane is formulated and further changed into a normal form by nonlinear coordinate transformation. By adopting the sliding mode control approach, an adaptive nonlinear control law of the system is designed so that the missile can hit the target accurately with a desired impact attitude angle. The stability analysis of the closed-loop system is also conducted. The numerical simulation has confirmed the usefulness of the proposed design scheme.     

一种攻击大机动目标的变参数组合导引律

针对目标作大机动时的导引问题,提出了一种既简单又有效的比例加变结构组合导引律,给出了其设计机理,并在理论上对变参数进行了优化设计。通过仿真结果比较,验证了此组合导引律可以在固定时间内明显地减少追踪者的脱靶量。     

Guidance law with impact time and impact angle constraints

A novel closed-form guidance law with impact time and impact angle constraints is pro- posed for salvo attack of anti-ship missiles, which employs missile’s normal acceleration (not jerk) as the control command directly. Firstly, the impact time control problem is formulated as tracking the designated time-to-go (the difference between the designated impact time and the current flight time) for the actual time-to-go of missile, and the impact angle control problem is formulated as tracking the designated heading angle for the actual heading angle of missile. Secondly, a biased proportional navigation guidance (BPNG) law with designated heading angle constraint is constructed, and the actual time-to-go estimation for this BPNG is derived analytically by solving the system differential equations. Thirdly, by adding a feedback control to this constructed BPNG to eliminate the time-to-go errorthe difference between the standard time-to-go and the actual time-to-go, a guidance law with adjustable coefficients to control the impact time and impact angle simultaneously is developed. Finally, simulation results demonstrate the performance and feasibility of the proposed approach.     

Optimal and Suboptimal Guidance for a Short-Range Homing Missile

Optimal and suboptimal guidance laws for short-range homing missiles are developed and compared to the commonly mechanized quidance law of proportional navigation. The optimal controller is derived as an optimal feedback regulator; the suboptimal controller is an approximation of the optimal regulator and consists of timevarying proportional navigation plus a time-varying gain term times a calculated target acceleration. Monte Carlo studies of the three controllers show that the optimal and suboptimal controllers are much superior to proportional navigation for the case of combined constant target acceleration, line-of-sight rate noise, and missile acceleration saturation.