基于非线性模型的大气层内拦截弹微分对策制导律

针对新型战术弹道导弹(TBM)和智能巡航导弹等具有高机动性的拦截目标,应用控制受限的非线性对策模型,提出非线性微分对策制导律,并分析了零脱靶量拦截所容许的初始航向误差.目标和拦截弹间的相对运动是非线性的,采用传统线性化模型建立的拦截制导律会因为线性化而带来误差.提出的制导律是在保持拦截弹和目标的非线性运动学关系的基础上...     

On Optimal Allocation and Guidance Laws for Linear lnterception and Rendezvous Problems

This paper considers the problem of guiding N interceptors so that they intercept or rendezvous with N targets at the same time T. It is assumed that the interceptors and targets are described by linear time-varying differential equations (deterministic or stochastic). Under certain assumptions both the optimal (static or dynamic) interceptor-target allocation and the guidance of each interceptor for the optimal allocation can be obtained with modest real-time and storage computer requirements.     

针对大气层外目标的双弹协同拦截中制导律设计

论文以大气层外弹道导弹目标为研究对象,考虑拦截弹中段发动机推力固定耗尽关机方式,针对多拦截弹拦截目标问题,提出一种基于零控脱靶量的双弹协同拦截中制导律。在基于零控脱靶量的中制导律的基拙上,以两枚拦截弹的预期拦截点作为协调变量,在两枚拦截弹在零控脱靶量满足末段制导要求情况下,调整两弹的预期拦截点使其一致。分析满足协同拦截的两枚拦截弹的中段初始条件,设计了相应的应对策略。该制导律具有通信负担低,鲁棒性较强的特点。仿真算例表明,所设计的双弹协同中制导律可以有效协调两枚拦截弹实现协同拦截。     

An Adaptive Weighted Differential Game Guidance Law

For intercepting modern high maneuverable targets, a novel adaptive weighted differential game guidance law based on the game theory of mixed strategy is proposed, combining two guidance laws which are derived from the perfect and imperfect information pattern, respectively. The weights vary according to the estimated error of the target’s acceleration, the guidance law is generated by directly using the estimation of target’s acceleration when the estimated error is small, and a differential game guidance law with adaptive penalty coefficient is implemented when the estimated error is large. The adaptive penalty coefficients are not constants and they can be adjusted with current target maneuverability. The superior homing performance of the new guidance law is verified by computer simulations.     

Cooperative differential games guidance laws for multiple attackers against an active defense target

This paper is concerned with a scenario of multiple attackers trying to intercept a target with active defense. Three types of agents are considered in the guidance: The multiple attackers, the target and the defender, where the attackers aim to pursuit the target from different directions and evade from the defender simultaneously. The guidance engagement is formulated in the framework of a zero-sum two-person differential game between the two opposing teams, such that the measurements on the m...     

基于深度学习的突防控制博弈对象匹配方法CSCD

针对基于博弈理论设计应对多枚拦截弹的协同突防控制方案时需要确定博弈对象的问题,提出了一种基于长短时记忆(LSTM)网络的拦截弹攻击对象匹配方法。基于传统防空导弹飞行时序与流程构建拦截弹飞行轨迹库,以轨迹库为训练样本对LSTM网络进行训练,并以此为基础构建航迹预测模型与对象匹配模型,实现对拦截弹攻击对象的识别。仿真结果表明,该方法能够有效识别拦截弹拦截目标,为后续的巡航弹突防研究提供支撑。     

多临近空间拦截器编队拦截自主协同制导控制技术研究

分析了目前高超声速飞行器的发展现状和发展趋势,指出高超武器已经给现有的防空反导武器系统带来极大威胁和挑战。针对高超声速飞行器的拦截问题,分析梳理了相关的技术难点。为保证拦截成功,采用多枚拦截器编队拦截高超声速目标是目前高效可行的技术途径,而多临近空间拦截器自主协同制导控制技术则是关键技术。针对多临近空间拦截器编队攻击自主协同制导控制技术,分别从建模、决策规划、感知、制导、控制以及评估6个方面提出需要解决的关键技术问题。最后对多临近空间拦截器编队拦截自主协同制导控制技术进行了总结与展望。     

An optimal one-way cooperative strategy for two defenders against an attacking missile

This paper investigates a cooperative strategy for protecting an aerial target.The problem is solved as a game among four players(a target,two defenders,and a missile).In this scenario,the target launches two defenders(defender-1 and defender-2)simultaneously,to establish a oneway cooperation system(OCS)against an attacking missile.A new optimal evasion strategy for the target is also derived.During the engagement,the target takes into account the reaction of the attacking missile,and guides defender-1 to the interception point by receiving information from defender-1.Depending on the control effort of the target,defender-2 can choose appropriate launch conditions and use very limited maneuvering capability to intercept the missile.For adversaries with first-order dynamics,simulation results show that the OCS allows two defenders to intercept the missile.During the engagement,even if one defender or communication channel is broken,the OCS still allows an interception to be made,thus increasing the target’s survivability.     

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。     

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。     

变结构制导规律及其实现

由于变结构控制的滑动模态具有完全的自适应性,不必全面研究系统的各种摄动及外干扰,只需根据高速度大机动目标的特点,对其实现自适应,将各种干扰及偏差的影响归人有关增益系数上加以考虑。应用变结构滑膜控制理论,推导了出一种适用于拦截高速大机动目标的空间制导规律,该制导规律能将系统引向滑动面并保持在其上运动。算例仿真证明,变结构项保证了对目标机动的鲁棒性,简单易行利于工程实现。     

Radar sensor using low probability of interception SS-FH signals

One of the best known weakness of radar sensors in defense and security applications is the necessity to radiate a signal, which can be detected by the target, so being possible (easy in fact) that the target is alerted about the presence of a radar before the radar is alerted about the presence of a target. In this context, Low Probability of Interception (LPI) Radars try to use signals that are difficult to intercept and/or identify. Spread spectrum signals are strong candidates for this application, and systems using special frequency or polyphase modulation schemes are being exploited. Frequency hopping, however, has not received much attention. The typical LPI radar at this moment of the technology is a CW-LFM radar. The simplicity of the technology is its best point. Polyphase codes, on the other hand have the inherent advantage of high instantaneous bandwidth regardless of observation time. But the complexity of the hardware is also higher. FH signals have traditionally been considered of lower performance but higher complexity, due to the difficulties to compensate the individual dopplers for the individual range cells in the receiver. One important point is that an FH radar must be clearly distinguished from an agile frequency radar. In the latter, a pulsed signal is transmitted using different frequencies from pulse to pulse. In an FH radar the frequency changes must be during the pulse. In fact, in an LPI FH radar, a CW frequency hopped signal is used. A radar system concept is proposed in which it shows how these problems can be overcome in a tracking application. Also, the signal format is analyzed under the scope of future decade digital interceptors, showing that, in fact, this kind of signal exhibits improvement in some performances and requires a hardware that is only slightly more complex than that needed for CW-LFM systems     

Flyable fiber-optic radar target generator

Airborne radar relies on Built-in-Test (BIT) for fault detection, fault isolation and system calibration. The capability of BIT is often limited by space, weight, size and cost considerations. Furthermore, the radar does not have a test target that will allow BIT to perform in flight, closed-loop functional test of the complete radar system. This paper describes a fiber-optic based radar test target unit that provides a delayed replica of the transmitted radar signal. The unit will intercept a small amount of radar-transmitted energy, delay it in the fiber, then feed it back into the radar producing a calibrated “echo” at a predetermined radar range. The unit can be installed as part of the airborne radar. The details on the design and testing of a proof-of-concept unit are also given     

基于H∞ 控制的非线性末制导律设计

 针对三维目标拦截问题,提出一种新的具有强鲁棒性的非线性H_∞末制导律。基于三维弹目相对运动学的非线性关系,将目标机动作为系统扰动,建立了弹目相对运动的数学模型。同时,基于零化弹目视线角速率的思想,提出一种全局非线性H_∞稳定控制策略,得到了连续的非线性末制导律。该方法利用Lyapunov稳定性理论严格证明了制导系统的全局渐近稳定性,并且无需求解哈密尔顿-雅可比-艾萨克斯（HJI）偏微分方程,同时也无需控制弹目相对运动速度。数字仿真表明,和比例导引律相比,这种制导律对高速大机动目标具有很强的鲁棒性和适应性,并能获得良好的制导精度。     

分数傅立叶变换用于抑制SAR杂波背景检测慢速动目标

慢速运动目标在时、空、频域上都落入主杂波区。利用单通道SAR图像中静止背景的信息抑制静止杂波,可改善检测动目标的性能。分数傅立叶变换是线性变换,不存在交叉项,采用分数傅立叶变换搜索匹配动目标信号,使其能量汇聚。对称计算旋转角正负对称的分数傅立叶变换,在两个对称的分数傅立叶域中得到两个复信号,这两个复信号中静止背景的模处处相同,而包含动目标的区域,模的幅度有很大差别,计算对称的分数傅立叶域信号对应位置模的差,取绝对值,可对消静止背景,敏锐地检测动目标。实测数据表明本算法有效。     

Three-dimensional cooperative guidance strategy and guidance law for intercepting highly maneuvering target

Cooperative interception of the target with strong maneuverability by multiple missiles with weak maneuverability in the three-dimensional nonlinear model is studied. Firstly, the three-dimensional nonlinear model of cooperative guidance is established. The three-dimensional reachable region is represented composed of lateral acceleration and longitudinal acceleration in the two-dimensional coordinate system. Secondly, the problem of the multiple missile's reachable coverage area is transformed into the problem of cooperative coverage. A cooperative coverage strategy is proposed and an algorithm for quickly calculating the number of required missiles is designed. Then, the guidance law based on the cooperative coverage strategy is proposed, and it is proved that cooperative interception of the target can be achieved under the acceleration limit. Moreover, the relations among the number of missiles, the initial array position of terminal guidance and the coverage area of the target’s large maneuver are analyzed. The dynamic adjustment strategy of guidance parameters is proposed to reduce the guidance error. Finally, simulation results show that multiple missiles with low maneuverability can achieve effective interception of target with strong maneuverability through the proposed cooperative strategy and cooperative guidance method.     

Reachable set modeling and engagement analysis of exoatmospheric interceptor

A novel reachable set(RS) model is developed within a framework of exoatmospheric interceptor engagement analysis. The boost phase steering scheme and trajectory distortion mechanism of the interceptor are firstly explored. A mathematical model of the distorted RS is then formulated through a dimension–reduction analysis. By treating the outer boundary of the RS on sphere surface as a spherical convex hull, two relevant theorems are proposed and the RS envelope is depicted by the computational geometry theory. Based on RS model, the algorithms of intercept window analysis and launch parameters determination are proposed, and numerical simulations are carried out for interceptors with different energy or launch points. Results show that the proposed method can avoid intensive on-line computation and provide an accurate and effective approach for interceptor engagement analysis. The suggested RS model also serves as a ready reference to other related problems such as interceptor effectiveness evaluation and platform disposition.     

Estimation of singularities for intercept point forecasting

In this paper, a recursive approach (an algorithm for estimation of singularity (AES)) is proposed to forecast the intercept point of a target and the pursuing interceptor recognized as the estimated singularity of a nodal cubic curve fitted to the data. The data comprises direction of arrival (DOA) estimates of both target and interceptor obtained at regular intervals of time using the maximum likelihood (ML) DOA estimation method. The estimates of coefficients of the cubic polynomial are given by a recursive least squares solution. From these coefficients, closed-form solutions for angle of interception and intercept time are obtained which are the forecasted coordinates of the intercept point. Experimental results demonstrate performance of the proposed algorithm     

Consensus based on learning game theory with a UAV rendezvous application

Multi-agent cooperation problems are becoming more and more attractive in both civilian and military applications. In multi-agent cooperation problems, different network topologies will decide different manners of cooperation between agents. A centralized system will directly control the operation of each agent with information flow from a single centre, while in a distributed system, agents operate separately under certain communication protocols. In this paper, a systematic distributed optimization approach will be established based on a learning game algorithm.The convergence of the algorithm will be proven under the game theory framework. Two typical consensus problems will be analyzed with the proposed algorithm. The contributions of this work are threefold. First, the designed algorithm inherits the properties in learning game theory for problem simplification and proof of convergence. Second, the behaviour of learning endows the algorithm with robustness and autonomy. Third, with the proposed algorithm, the consensus problems will be analyzed from a novel perspective.     

Satellite proximate interception vector guidance based on differential games

This paper studies the proximate satellite interception guidance strategies where both the interceptor and target can perform orbital maneuvers with magnitude limited thrusts. This problem is regarded as a pursuit-evasion game since satellites in both sides will try their best to capture or escape. In this game, the distance of these two players is small enough so that the highly nonlinear earth-centered gravitational dynamics can be reduced to the linear Clohessy-Wiltshire (CW) equations. The system is then simplified by introducing the zero effort miss variables. Saddle solution is formulated for the pursuit-evasion game and time-to-go is estimated similarly as that for the exo-atmospheric interception. Then a vector guidance is derived to ensure that the interception can be achieved in the optimal time. The proposed guidance law is validated by numerical simulations.