拦截机动目标的模糊导引律研究

使用模糊方法研究了三维实际追逃问题的最小能量导引律问题。首先,通过对一些状态变量的定义域进行在线模糊分区,一方面,将非线性模型变为模糊T-S线性模型;另一方面,又能方便地处理目标的任意机动而引起的目标运动方向的变化。其次,利用RH（Receding Hori-zon）控制方法和伴随技术,在目标作对抗性机动条件下,获得了一个有效拦截的导引律。数值仿真结果表明,由这种导引律导引的导弹能够精确拦截任意机动的目标。     

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     

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.     

Saturated super-twisting sliding mode missile guidance

This paper concentrates on developing a missile terminal guidance law against a highly maneuvering target whose maneuvering acceleration is very close to that of the missile or even exceeds the missile normal acceleration in a finite period of time. A new saturated super-twisting algorithm is proposed and applied to the design of missile guidance law. The proposed algorithm has the advantages of simple structure, easy parameter tuning rules and a full utilization of the limit control input. The designed saturated super-twisting sliding mode guidance law is then employed in a missile guidance system. Simulation and its superior performance against strong maneuvering targets is demonstrated.     

基于过失速机动动力学的控制方法

为设计过失速大机动飞行控制律，按飞行的逆稳态模型考虑非线性因素的影响，同时对于陀螺、 惯性耦合效应及重力影响进行补偿，并直接根据飞行品质要求按隐式模型跟踪法设计反馈控制器。初步设计实例证明，这种方法适用于过失速机动动力学特点，能够获得发挥飞机操纵潜能、较好地控制飞机实现过失速机动、具有满意飞行品质的控制解，并且控制结构易于工程实现。算例还表明，即使不加装先进的过失速操纵装置，通过对飞行控制律的改进可以进一步发挥飞机本身的气动潜力，使之在一定的过失速迎角不正常工作。     

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。     

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。     

考虑驾驶仪动态特性的固定时间收敛制导律

针对打击机动目标的制导问题，设计了一种同时考虑攻击角度约束、自动驾驶仪动态特性和固定时间收敛的新型制导律。首先，基于非奇异终端滑模控制和固定时间稳定性理论，采用反步递推方法设计制导律。在制导律设计过程中，设计了一种固定时间收敛的非奇异终端滑模面，基于固定时间控制和滑模控制，设计虚拟控制律，构造一种非线性一阶滤波器解决传统反步设计中的"微分膨胀"问题。基于超螺旋算法和固定时间稳定性理论，设计了一种固定时间收敛的滑模干扰观测器，用于估计目标机动等干扰。然后，基于Lyapunov稳定性理论，对制导律的固定时间稳定性进行了证明，并给出了收敛时间的表达式。最后，通过仿真分析，验证了所提制导律的有效性，和现有制导律相比，所提制导律具有较高的制导精度和角度约束精度、较快的系统收敛速度以及较少的能量消耗。     

Accurate solution of proportional navigation for maneuveringtargets

An accurate solution is presented of the nonlinear differential equations describing motion under proportional navigation when the target is laterally maneuvering. A quasilinearization (QL) approach is used, followed by a perturbation technique to obtain closed-form solutions for trajectory parameters. An explicit expression for the pursuer lateral acceleration is derived and shown to contain contributions due to initial heading error and target maneuver, with a coupling between the two effects. The solution is shown to be a substantial and consistent generalization or an earlier accurate solution for nonmaneuvering targets and also of classical linear solutions for maneuvering targets. The generalized QL solution presented provides very accurate estimates of pursuer lateral acceleration over a much broader range of engagement geometries and target maneuvers than presently available closed-form solutions     

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.     

无人机空中加油自主会合的制导与控制

针对无人机空中加油的自主会合问题,进行了相应制导律和非线性控制器的设计。通过改进的带角度约束的三维比例制导律实现对航向角的控制,以协调转弯的方式将航迹角指令转化为姿态角指令。基于无人机六自由度的动力学模型,针对无人机的姿态控制,采用时标分离的方法设计了慢子系统和快子系统,并对这两个子系统分别进行动态逆控制设计。同时,基于滑模控制的方法设计了满足自主会合要求的速度控制律。在保证无人机飞行稳定的基础上,实现了对控制和制导指令的精确跟踪。仿真结果表明,所设计的制导律和控制律能够实现无人机空中加油的自主会合,具有良好的动态特性。     

Disturbance observer-based robust guidance for Mars atmospheric entry with input saturation

With low-lifting capability taken into account,a robust guidance law for Mars entry vehicles with low lift-to-drag ratios,such as Mars Science Laboratory(MSL),is presented.Consider the nonlinear term in the drag dynamic equation and bounded disturbances as a lumped disturbance,and design a linear disturbance observer(DOB)to estimate it.With the consideration of the control input saturation,an innovative sliding surface and a virtual system are introduced to design the guidance law.Analyses of disturbance observer performance and Lyapunov-based transient performance are also presented.It is shown that the drag tracking error can be adjustable by explicit choices of design parameters.Simulation results confirm the effectiveness of the proposed guidance law.     

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 ...     

大气层内模型预测静态规划拦截中制导

在临近空间机动目标拦截中,拦截器的初始动力段对中制导段乃至末端拦截性能具有重要影响。在模型预测静态规划（MPSP）理论基础上提出了一种初、中制导联合规划制导方法,旨在解决多阶段、快速、最优拦截轨迹规划和制导问题。首先,提出了一种改进的模型预测静态规划方法,该方法不仅可以满足终端约束,还可以生成最优初始状态,并在性能指标中考虑状态变量相关函数。其次,基于等效阻力模型建立了包含动力段与非动力段的两段规划模型,通过采用分段离散以及构建关机点变分关系的方法,避免了内点约束的引入,使MPSP算法可直接求解该两段规划问题。最后,结合提出的MPSP算法以及两段规划模型,实现了终端速度最优的拦截轨迹规划,结合目标预测方法,实现了对机动目标的预测拦截。仿真结果表明,本文方法可提高制导精度和终端速度,且能更好满足对机动目标的拦截需求。     

多导弹系统协同攻击机动目标分布式制导律

基于增强型比例导引律和分布式网络同步理论,设计了一类攻击机动目标的多导弹系统分布式协同制导律。该制导律由各导弹本地制导律和分布式协同导引策略两部分组成:本地制导律为增强型比例导引律,进一步利用代数图论和非线性系统一致性理论,得到基于邻接个体信息交互的分布式协同制导律,实现多导弹对目标的同时协同攻击;该分布式协同制导律仅需视距内各相邻导弹间互相传输各自的状态信息,算法具有较低的通信代价和较好的可扩展性。最后给出了相关数值仿真算例,仿真结果验证了算法的有效性。     

飞机机动飞行的非线性解耦控制研究

本文针对12维非线性飞机动力学模型,利用非线性逆动力学理论和现代最优控制理论设计了一组含有指令静差积分环节的非线性解耦控制规律。这组控制规律使得对状态变量、控制变量以及它们变化率进行加权约束的性能指标极小,并能用平缓的操纵反应和较小的控制能量使飞机达到完全解耦的指定状态。由于这组控制规律计及了飞机动力学模型中的非线性因素,能够弥补飞机机动飞行时非线性特性的恶化影响,在整个飞行包线内都能为飞机提供优良的操纵品质和飞行性能。     

STUDY OF OPTIMAL SLIDING-MODE GUIDANCE LAW

An optimal guidance law based on missile-target line-of-sight (LOS) angular rate is presented for intercepting a nonmaneuvering target. It is then integrated with sliding-mode control theory by using reaching-law of sliding-mode, in order to derive an optimal sliding-mode guidance law for intercepting a maneuvering target. The new guidance method's robustness against target maneuvers and good miss distance performance are proved by the second method of Lyapunov and simulation results. The presented guidance law is simple to implement in practical applications.     

涡轴发动机LQ/H∞抗扰控制方法

提出了抑制涡轴发动机负载干扰的线性二次型（LQ）/H∞控制算法,以总距为干扰建模,利用线性矩阵不等式求得既满足LQ指标又对干扰具有H∞性能约束的状态反馈控制律.提出修正指令抑制干扰策略.采用比例微分控制将总距变化转换为动力涡轮转速指令的修正,实现增大或减小机动飞行中动力涡轮转速指令,抑制实际转速的下垂或超调.仿真结果表明：该控制方法能有效抑制干扰并具有良好的实时性.     

Linear Quadratic Differential Games Guidance Law for Dual Controlled Missiles

A novel guidance law designed specifically for a missile having forward and aft control systems is presented. For the derivation a linear quadratic differential games formulation of the end-game interception scenario is used. Conditions for achieving perfect intercept are given and new game spaces are presented. It is also shown that increasing the direct lift associated with the canard control allows intercepting targets with higher maneuvering capability, while for the tail control the effect is opposite.