基于MPSP的次优滑模制导律

针对导弹拦截机动目标的问题,提出了一种能满足多终端约束的次优滑模制导律(Sub-OSMG).该算法将模型预测静态规划(MPSP)与滑模控制(SMC)相结合,解决了MPSP在系统模型不精确时由于依赖模型预测而导致的控制量发散问题;基于三自由度相对运动方程建立所提出的制导律,其鲁棒性通过Lyapunov稳定性理论进行了证明;在滑模控制的设计中引入一种较为新颖的滑模面,巧妙地继承了两种方法的优点,其区别于传统扩展比例导引(APN),在仅知机动幅值的情况下,能精确地击中目标.仿真结果表明,所提出的Sub-OSMG能够有效地抵消外部扰动,具有更高的精度、更好的鲁棒性、更小的控制代价.     

过虚拟交班点的能量最优制导律

针对固定目标的导弹过虚拟交班点制导问题,在希尔伯特空间下,基于最优化理论设计了有无终端落角约束两种情况下的全局能量最优制导律。通过对模型进行线性化,将提出的最优制导模型转化为线性二次型最优控制问题,在此基础上利用零控脱靶量（ZEM）概念对系统模型进行降阶,并推导出解析解。设计的制导律可以使导弹准确经过虚拟交班点,并实现期望终端落角。仿真结果表明,与经典制导律对比,该制导律可以显著减少全局控制能量消耗。     

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。     

Differential-game-based guidance law using target orientation observations

Modern 4th generation air-to-air missiles are quite capable of dealing with today's battlefield needs. Advanced aerodynamics, highly efficient warheads and smart target acquisition systems combine to yield higher missile lethality than ever. However, in order to intercept highly maneuverable targets, such as future unmanned combat air vehicles (UCAV), or to achieve higher tracking precision for missiles equipped with smaller warheads, further improvement in the missile guidance system is still needed. A new concept is presented here for deriving improved differential-game-based guidance laws that make use of information about the target orientation, which is acquired via an imaging seeker. The underlying idea is that of using measurements of the target attitude as a leading indicator of target acceleration. Knowledge of target attitude reduces the reachable set of target acceleration, facilitating the computation of an improved estimate of the zero-effort miss (ZEM) distance. In consequence, missile guidance accuracy is significantly improved. The new concept is applied in a horizontal interception scenario, where it is assumed that the target maneuver direction, constituting a partial attitude information, can be extracted via processing target images, acquired by an imaging sensor. The derivation results in a new guidance law that explicitly exploits the direction of the target acceleration. The performance of the new guidance law is studied via a computer simulation, which demonstrates its superiority over existing state-of-the-art differential-game-based guidance laws. It is demonstrated that a significant decrease in the miss distance can be expected via the use of partial target orientation information.     

基于滑模控制的剖面跟踪制导律

针对高超声速飞行器滑翔段的高精度制导问题,考虑复杂多约束条件以及干扰和不确定因素的影响,设计了一种基于全局积分滑模控制的剖面跟踪制导方法。首先,将多重约束转化为阻力加速度-速度（D-V）平面内的再入走廊;然后,以终端精度和总吸热量为性能指标,采用分段函数的形式优化设计出一条标准D-V剖面;再基于简化的动力学模型,推导得到关于阻力加速度微分和速度的二阶非线性模型;最后,基于滑模控制理论,设计全局积分滑模面和指数趋近律,获得控制量幅值大小,并结合侧向方位误差走廊确定控制量符号,从而实现对标准剖面的有效跟踪。采用CAV-H滑翔再入模型进行数值仿真,分析验证了提出的基于滑模控制的剖面跟踪制导律具有较好的跟踪性能和精度。     

基于虚拟目标的超视距舰空导弹导引律设计

针对超视距舰空导弹拦截低空飞行的目标时,会导致在制导初段就出现导弹"掉海"的现象,提出一种虚拟目标的设计方法,并利用伪控制量的概念,应用线性二次型最优控制理论,设计了一种最优导引律。仿真结果表明,虚拟目标设计方法具有良好效果,所研制的最优导引律是可行的。     

Evasion and pursuit guidance law against defended target

This paper investigates a new approach for a scenario in which an Attacker attempts to intercept a defended aerial Target. The problem is formulated as a game among three players, an Attacker, a Defender, and a Target, with bounded controls. In the considered pursuit–evasion problem, the Target uses an optimal evasion strategy and the Defender uses an optimal pursuit strategy.The proposed approach focuses on the miss distance as the outcome of the conflict. The infeasible region for the initial Zero-Effort-Miss(ZEM) distance between the Attacker and the Defender, for a scenario in which the Attacker evades the Defender, is analyzed, assuming that the Attacker uses a control effort chosen from the permitted control region. The sufficient conditions are investigated under which, for ideal players, the Attacker can pursue the Target while evading the Defender launched by the Target. The guidance provided on how the Attacker can accomplish the task is divided into two parts. During the final time between the Attacker and the Defender, the Attacker chooses the control effort that guarantees the miss distance, and then uses the optimal pursuit strategy to accomplish the task. The derived guidance law is verified by nonlinear simulation.     

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.     

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。     

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.     

Self-organizing fuzzy learning CLOS guidance law design

A new self-organizing fuzzy logic control (SOFLC) design method is proposed. The proposed method is applied to the command line-of-sight (CLOS) guidance law design. The SOFLC contains two sets of fuzzy inference logic. One is the fuzzy logic controller and the other is the rule modifier. The new learning method of the rule modifier is developed based on a fuzzy learning algorithm. The modification value of each rule is based on the fuzzy firing weight, so that learning of the rule bases is reasonable. Finally, two engagement scenarios are examined, and a comparison between a fuzzy logic control (FLC), an optimal learning FLC, and the proposed SOFLC CLOS guidance laws is made. Simulation results show that the proposed SOFLC guidance law can achieve better guidance performance than the other guidance laws.     

基于双幂次趋近律的变结构末制导律设计

针对拦截机动目标问题,提出了一种新的具有强鲁棒性的非线性变结构末制导律。基于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。并基于零化弹目视线角速率的思想,利用一种新的双幂次趋近律设计方法,得到了非线性变结构末制导律。该方法利用Lyapunov稳定理论,严格证明了制导系统的全局渐近稳定性。数字仿真结果表明,所设计的制导律与比例导引律相比,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。     

一种攻击地面固定目标的变系数比例导引律

为了提高命中精度 ,减小控制能量的消耗 ,对攻击地面固定目标且速度随时间变化的追踪器 ,推导出一种以控制能量消耗最小为性能指标的最优导引律 ,其中剩余时间的估算不仅考虑到追踪器速度大小的变化 ,而且考虑了方向的变化。同时 ,为了满足某些追踪器在碰撞点垂直入射的要求 ,给出在铅垂面内攻击时具有修正项的变系数比例导引律。仿真结果表明 ,该导引律与常系数比例导引律相比 ,控制能量少 ,脱靶量小 ,命中精度高。     

Cascade-type guidance law design for multiple-UAV formation keeping

A procedure to compute guidance commands for controlling the relative geometry of multiple unmanned aerial vehicles (UAVs) in formation flight is proposed. The concepts of branch, global leader, and local leader/follower are used to represent the whole formation geometry. A positive-definite function defined in terms of the formation error is then introduced and the Lyapunov stability theorem is used to obtain the cascade type guidance law. This scheme leads to the synchronized flight of all UAVs while maintaining formation geometry. The results of a high fidelity nonlinear simulation of a reconnaissance and surveillance mission example are presented to show the effectiveness of the proposed guidance law.     

基于SDRE法的非线性鲁棒滑模末制导律设计

从智能控制理论出发,针对拦截机动目标的燃料最优问题,提出将状态相关黎卡提方程法(SDRE)和滑模控制相结合的末制导律设计方法,即利用前者将非线性模型转化为基于状态系数的线性结构后设计次优制导律,利用后者实现对机动目标引起的不确定干扰项的补偿。仿真结果表明,与自适应滑模末制导律相比,该方法具有制导精度更高、更加节省燃料的优势。     

基于Lyapunov稳定性的扩展比例制导律设计

基于一般弹目平面运动模型,以视线角、视线角速率为状态变量将弹目运动关系转换为二阶控制系统状态空间表达,把制导律设计转化为系统控制律的设计问题.在此控制模型的基础之上,利用Lyapunov稳定性定理,以视线角速率平方项作为能量函数设计了一种新型的扩展比例导引律,与其他扩展比例导引律相比,该导引律不需要增加任何制导观测信息,可以有效抑制噪声影响,并将基于Lyapunov稳定性的末制导律设计方法推广到有终端角约束的制导律设计中.仿真结果比较表明,该制导律可以提高制导精度、有效减小制导信息中的噪声影响.     

三维自适应终端滑模协同制导律

针对多枚导弹协同作战的问题,且多枚导弹之间保持有向拓扑通信的条件下,基于终端滑模法设计了视线方向及视线法向的双层协同制导律。其中,视线方向的制导指令能够保证导弹同时完成拦截任务;视线法向上的三维制导律能够保证每枚导弹以期望的视线角攻击目标,从而发挥各枚导弹的最大杀伤力,并且视线角的约束相当于规划了末制导段导弹的弹道问题,在一定程度上避免攻击目标前导弹间发生碰撞。同时,针对所设计的滑模制导律设计了新的自适应律,从而加快了滑模面的收敛速度并且削弱了由符号函数引起的系统抖振现象。基于李雅普诺夫稳定性理论,证明了所设计制导律的正确性,并在最后给出了数学仿真实验,验证了所设计制导律的有效性及优越性。     

Three-dimensional time-varying sliding mode guidance law against maneuvering targets with terminal angle constraint

This paper deals with the problem of intercepting maneuvering targets with terminal angle constraints for missiles subjected to three-dimensional non-decoupling engagement geometry.To achieve the finite-time interception and satisfactory overload characteristics, a time varying sliding mode control methodology is developed based on a time base generator function. The main feature of the proposed guidance law guarantees the Line-of-Sight(LOS) angles to converge to small neighborhoods of the desir...     

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...     

Frequency domain approach to guidance system design

The frequency domain approach to guidance system design is presented. The model of the guidance control system reflects the most important characteristics of the flight control system that combines airframe and autopilot dynamics (damping, natural frequency, time constant, and airframe zero frequency). The analytical expressions for frequency response and related expressions for missile system performance are given. The analytical results obtained can be utilized for missile system design.