约束条件下的末制导律研究进展

随着武器作战样式的变革,带约束条件下的末制导律研究受到了越来越广泛的关注。评述了近年来约束条件下的末制导律的研究新进展,对目前约束条件下的末制导律设计进行了详细的研究,分析了各种方法的优缺点。在此基础上,对比给出了多约束条件下的末制导律设计的难题以及可能解决的途径。     

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.     

多导弹协同制导律综述

根据制导约束条件的不同,将多导弹协同制导律划分为具有弹着时间、终端角度、终端速度分别约束,以及弹着时间与终端角度同时约束四类.系统地论述了各类导引律的方法和特点,总结和分析了其优缺点,并对其发展趋势进行了探讨,可为多导弹协同制导律的优化设计提供参考.     

基于模糊理论的微分对策制导律

在现代战场环境下，导弹制导所需信息经常受到各种干扰，有时甚至是不确定的。而基于精确模型的微分对策制导律的实时实现面临着许多困难。为解决这个问题，尝试将模糊理论与微分策制导律相结合，采用多级模糊控制规则，以导弹怀收音机格半为例，给出了模型的建立方法，并探讨了这种模糊微分对策制导律实现的可行性和优点，为将来发展基于微分对策理论的智能制导律提供了一定的思路。     

高超声速战术导弹精确制导律设计

高超声速战术导弹以其固有的特点在高速目标拦截上应用前景巨大.如何针对高超声速战术导弹高速度、高不确定性的特点设计精确的制导律是导弹能否摧毁目标的关键.针对高超声速战术导弹和高速机动目标建立了相对运动模型,利用自适应滑模控制理论,设计了导弹的自适应精确制导律,并进行了仿真分析.结果表明,该制导律具有较好的控制效果.     

双轨控发动机动能多拦截器制导律研究

在多拦截器反导应用背景下,对双轨控发动机动能多拦截器制导律进行了研究,并基于三维最优制导律对三维空间内平面拦截弹道制导方法进行了研究。该方法基于三维最优制导律寻找初始拦截弹道平面,在弹道平面内根据新的目标末端估计值产生指令过载,最后对该方法进行了仿真计算,试验结果表明该方法具有科学性和工程应用价值。     

二阶弹体特性下带终端角度约束的制导律

针对导弹要求限制终端攻击角度以发挥战斗部的最大效能,提出了一种适用于攻击地面固定目标的具有终端角度约束的最优制导律,并和已有的具有终端角度约束的最优制导律进行了比较。该制导律针对二阶弹体特性,采用最优控制方法,使导弹在命中目标的同时,满足终端角度约束。数字仿真结果表明,所提出的制导律能够实现终端角度约束条件,具有较高的制导精度。     

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。     

过载约束下的大机动目标协同拦截

研究了非线性拦截几何下具有过载约束的多枚弱机动能力的导弹拦截强机动能力的目标的协同拦截问题。首先，在建立导弹的可达域、导弹的可行域以及目标的逃逸域这3个概念的基础上提出了非线性拦截几何下的基于逃逸域覆盖的协同拦截策略，并提出了基于标准弹道的设计方法。然后，给出了协同拦截制导律的形式，研究了导弹的末制导初始阵位、制导律参数以及导弹对目标机动的覆盖区域这三者间的关系，并设计了数值求解算法来实现对多弹的覆盖区域的分配、协同制导律的设计以及多弹初始拦截阵位的配置。最后，对理论结果进行仿真。结果显示，多枚机动性较小的导弹，通过初始拦截阵位的合理配置和协同拦截制导律的合理设计，可以实现对机动性能较强的目标的协同拦截。     

垂直起降重复使用运载器返回制导与控制

针对垂直起降可重复使用运载器返回全程非线性、高动态、强扰动、多约束条件下的精确着陆问题，开展适应各飞行段任务特性和需求的返回全程制导控制方法研究。首先分析返回全剖面各飞行段的特点及对制导控制的需求，建立了动力学模型；然后基于经典制导控制方法给出可行的返回全程制导控制方案，并针对其不足分别设计修航段基于剩余时间估计和几何关系目标点自适应更新的双层迭代制导、返回末段多约束自适应制导和返回全程自抗扰控制器，构建了自适应强抗扰新型返回全程制导控制方案；最后进行了数学仿真，通过对比分析经典制导控制方案和新型制导控制方案在小偏差/扰动和大偏差/扰动两种条件下的飞行状态，验证了新型制导控制方案下更高的着陆精度、更强的适应性和抗扰性。     

基于视线角速率的最优增量制导技术研究

提出一种基于视线角速率最优的制导方案。方案从最优控制的性能指标函数出发,通过求解一个Riccati方程和相关约束条件,并对系统进行一系列的相关的理想化的假设,得到系统的一般形式的制导指令。同时,为了避免制导指令在正负之间的频繁切换,根据偏置比例制导的原理,在制导指令中引入一个制导指令的增量,来减轻这一问题,并与传统的比例制导进行比较。仿真结果表明,这种制导方法相对于比例制导律而言,精度较高,性能优良,具有一定工程参考意义。     

带有落角约束的一般加权最优制导律

以期望的落角方向为坐标轴定义了落角坐标系,在落角坐标系中建立了线性化的运动关系方程。应用Schwarz不等式,分别研究了控制系统为一阶惯性环节和无惯性环节情况下带落角约束的任意加权最优制导律,得到了制导律的一般表达式。对于无惯性环节控制系统以及加权函数为一般初等函数类型的一阶惯性环节控制系统,当加权函数的逆的一次到三次积分都能求出解析表达式时,均可以得到解析形式的最优制导律。对于不同的制导目的,应用本文结果可以方便地设计相应的制导律。对于某些特定的加权函数,所得制导律推广了现有文献的结论,并给出了指数权函数下满足落角约束的最优制导律的仿真结果。     

基于变结构控制理论的导弹平滑导引律研究

针对导弹采用变结构导引律攻击机动目标时,容易引起视线角速率的抖动现象,基于变结构控制理论,提出了一种设计简单、具有较好鲁棒性及准确性的平滑导引律。该导引律设计主要通过引入双曲正切函数,消除了攻击导弹的视线倾角增量变化律的抖动现象。通过仿真结果说明:在相同的攻击时间内,对比于比例导引律、变结构导引律,该导引律明显地减小攻击导弹的脱靶量,验证了该导引律的有效性。     

Three-dimensional guidance law based on adaptive integral sliding mode control

For the terminal guidance problem of missiles intercepting maneuvering targets in the three-dimensional space, the design of guidance laws for non-decoupling three-dimensional engage-ment geometry is studied. Firstly, by introducing a finite time integral sliding mode manifold, a novel guidance law based on the integral sliding mode control is presented with the target acceler-ation as a known bounded external disturbance. Then, an improved adaptive guidance law based on the integral sliding mode control without the information of the upper bound on the target accel-eration is developed, where the upper bound of the target acceleration is estimated online by a designed adaptive law. The both presented guidance laws can make sure that the elevation angular rate of the line-of-sight and the azimuth angular rate of the line-of-sight converge to zero in finite time. In the end, the results of the guidance performance for the proposed guidance laws are pre-sented by numerical simulations. Although the designed guidance laws are developed for the con-stant speed missiles, the simulation results for the time-varying speed missiles are also shown to further confirm the designed guidance laws.     

Impact time control guidance against maneuvering targets based on a nonlinear virtual relative model

Aiming at the problem of high-precision interception of air-maneuvering targets with impact time constraints, this paper proposes a novel guidance law based on a nonlinear virtual relative model in which the origin is attached to the target. In this way, the original maneuvering target is transformed into a stationary one. A polynomial function of the guidance command in the range domain with two unknown coefficients is introduced into the virtual model, one of the coefficients is determined to ...     

Design of Time-constrained Guidance Laws via Virtual Leader Approach

Guidance problems with flight time constraints are considered in this article. A new virtual leader scheme is used for design of guidance laws with time constraints. The core idea of this scheme is to adopt a virtual leader for real missiles to convert a guidance problem with time constraints to a nonlinear tracking problem, thereby making it possible to settle the problem with a variety of control methods. A novel time-constrained guidance (TCG) law, which can control the flight time of missiles to a prescribed time, is designed by using the virtual leader scheme and stability method. The TCG law is a combination of the well-known proportional navigation guidance(PNG) law and the feedback of flight time error. What's more, this law is free of singularities and hence yields better performances in comparison with optimal guidance laws with time constraints. Nonlinear simulations demonstrate the effectiveness of the proposed law.     

Three-dimensional finite-time cooperative guidance for multiple missiles without radial velocity measurements

In order to simultaneously attack a target with impact angle constraint in threedimensional(3-D) space, a novel distributed cooperative guidance law for multiple missiles under directed communication topologies is proposed without radial velocity measurements. First, based on missiles-target 3-D relative motion equations, the multiple missiles cooperative guidance model with impact angle constraint is constructed. Then, in Line-of-Sight(LOS) direction, based on multiagent system cooperative control theory, one guidance law with directed topologies is designed with strict proof, which can guarantee finite time consensus of multiple missiles' impact times. Next, in elevation direction and azimuth direction of LOS, based on homogeneous system stability theory and integral sliding mode control theory, two guidance laws are proposed respectively with strict proof, which can guarantee LOS angles converge to desired values and LOS angular rates converge to zero in finite time. Finally, the effectiveness of the designed cooperative guidance law is demonstrated through simulation results.     

自适应严格收敛非奇异终端滑模制导律

针对机动目标的末制导拦截问题，设计了一种带终端角度约束的有限时间收敛终端滑模制导律。首先，分析了现有非奇异终端滑模制导律存在的滑模面不能严格有限时间收敛的问题，进而构造了一种新型的非奇异终端滑模面。其次，设计了一种对目标机动上界的自适应估计，提出了一种自适应严格收敛非奇异终端滑模制导律的设计方法。最后，基于Lyapunov稳定性理论，证明了设计的制导律能够使得制导系统在有限时间内收敛到零，并且保证了滑模面在收敛过程中不存在非收敛因子，是严格有限时间收敛的。仿真实验验证了该制导律能够有效地拦截机动目标，同时和与现有的非奇异终端滑模制导律以及基于转换滑模面的非奇异制导律相比，拦截时间更短，终端攻击角度精度更高，导弹机动消耗的能量更少。     

An adaptive fast fixed-time guidance law with an impact angle constraint for intercepting maneuvering targets

Sliding mode guidance laws based on a conventional terminal sliding mode guarantees only finite-time convergence, which verifies that the settling time is required to be estimated by selecting appropriate initial launched conditions. However, rapid convergence to a desired impact angle within a uniform bounded finite time is important in most practical guidance applications. A uniformly finite-time/fixed-time convergent guidance law means that the convergence (settling) time is predefined independently on initial conditions, that is, a closed-loop convergence time can be estimated a priori by guidance parameters. In this paper, a novel adaptive fast fixed-time sliding mode guidance law to intercept maneuver targets at a desired impact angle from any initial heading angle, with no problems of singularity and chattering, is designed. The proposed guidance law achieves system stabilization within bounded settling time independent on initial conditions and achieves more rapid convergence than those of fixed-time stable control methods by accelerating the convergence rate when the system is close to the origin. The achieved acceleration-magnitude constraints are rigorously enforced, and the chattering-free property is guaranteed by adaptive switching gains. Extensive numerical simulations are presented to validate the efficiency and superiority of the proposed guidance law for different initial engagement geometries and impact angles.     

圆弧预测变系数显式拦截中制导

为了满足临近空间机动目标拦截中制导预测和多约束要求，设计了一种基于圆弧预测的变系数显式拦截中制导方法。首先针对临近空间目标滑翔段飞行特性，提出了基于圆弧的几何目标预测方法，将目标机动轨迹近似为圆弧，通过多个间隔时刻的目标位置确定圆弧参数，依据圆弧预测轨迹估计剩余飞行时间，并以当前速度递推预测拦截点状态，进而推导了三维角约束显式制导律。在此基础上，通过在性能指标中构建动压权重函数，以飞行动压近似可用过载变化，设计了变系数显式制导律，实现了制导增益的自适应更新，从而可以使得需用过载在飞行全程中合理分配，满足可用过载约束。最后结合圆弧预测和变系数显式制导，实现了对机动目标的预测拦截。仿真结果表明所提方法具有较好的目标预测精度，而且可以满足终端交会角以及可用过载约束。