三维最优制导律设计的旋量方法

针对BTT导弹制导过程中的双通道耦合问题,设计了一种非解耦的三维最优制导律。通过矢量方法和旋量方法分别建立了视线角速度模型和视线方位模型,从而得到导弹制导的三维模型。基于视线角缓变的假设,对制导模型进行了简化,得到其线性模型。分别针对无终端约束和有终端约束情况,运用二次型最优方法推导了最优三维制导律。该制导律避免了通道解耦,能够满足BTT导弹精确制导的要求。     

多约束下的高超声速飞行器三维非线性自适应末制导律

面向多约束下高超声速飞行器末制导过程中的通道耦合、参数扰动、模型失配等突出问题,设计一种适于高超声速飞行器的三维非线性自适应末制导律。为了模型描述的完整性和简洁性,引入视线旋量和旋量速度的概念,并基于此建立三维制导参考模型和实际系统的表达式;为了保证制导律的鲁棒性和自适应性,基于自适应控制理论,设计一种三维非线性自适应制导律;通过数学推导证明了该制导律的稳定性。该制导律能够从理论上克服高超声速飞行器末制导面临的通道耦合、参数扰动、模型失配等突出问题,满足多约束制导要求。仿真结果验证了所设计制导律的有效性。     

高超声速飞行器俯冲机动最优制导方法

为解决高超声速飞行器俯冲段精确制导与机动突防问题,研究了机动突防最优制导方法。针对零化视线角速率降低突防性能的问题,在俯冲平面及转弯平面内分别设计了正弦形式的视线角参考运动,同时为进一步实现俯冲精确制导,以落速最大为性能指标利用最优控制对其进行跟踪,引入了伪控制量以简化最优制导问题的求解,最后分析了该方法的稳定性及制导性能。以CAV-H为例进行仿真分析,仿真结果表明该方法能够实现机动飞行,且能够高精度地满足终端落角及落点约束,可为高超声速飞行器俯冲段精确制导及机动突防提供参考。     

一种多约束条件下高超声速导弹对地攻击的三维最优变结构制导律

针对高超声速空地导弹多约束高精度末制导的基本需求,在三维解耦的俯仰平面和转弯平面上分别设计制导律。在综合考虑脱靶量、落角、入射角等多种约束条件后,运用最优控制构造的最优制导律设计了一种三维最优变结构制导律,接着利用梯度自适应下降法和T-S模型改进了速度约束控制。最后通过典型弹道的结果显示该制导律能够满足多约束高精度制导的需要,具有良好的弹道性能。     

多约束强化学习最优智能滑翔制导方法

为提升复杂飞行任务下滑翔制导的自主性,提出一种基于最优制导与强化学习的多约束智能滑翔制导策略。引入三维最优制导以满足终端经纬度、高度以及速度倾角约束。提出基于侧向正弦机动的速度控制策略,研究考虑机动飞行的终端速度解析预测方法。针对速度控制中机动幅值无法离线确定的问题,研究基于强化学习的智能调参方法。该方法基于终端速度设计状态空间,以机动幅值设计动作空间,设计综合终端速度误差与滑翔制导任务的回报函数,采用Q-Learning实现机动幅值的智能调整。仿真结果表明,智能滑翔制导方法能够高精度满足终端多种约束,并能有效提升复杂任务下的自主决策能力。     

非奇异快速终端滑模及动态面控制的轨迹跟踪制导律

针对飞行器跟踪预设轨迹的问题,提出非奇异快速终端滑模和角度约束的轨迹跟踪制导律。通过引入虚拟目标点,提出参考轨迹曲率半径的期望视线角约束条件,建立带有视线角约束并考虑自动驾驶仪动态特性的轨迹跟踪数学模型。为了保证在有限时间内跟踪预设轨迹并避免出现奇异问题,采用快速非奇异终端滑模和动态面控制方法进行制导律设计。推导出视线角误差和轨迹跟踪误差之间的数学关系,并利用Lyapunov稳定性准则证明轨迹跟踪误差最终有界任意小。与弹道成型轨迹跟踪制导律进行仿真对比,仿真结果表明所提出的制导律具有良好的跟踪性能及鲁棒性。     

高超声速滑翔飞行器滑翔段预测-校正制导研究

为了满足高超声速滑翔飞行器再入制导过程中的终端约束和过程约束,针对滑翔段具有不确定初值和气动干扰的滑翔再入问题,联合三维轨迹快速在线生成技术和模型预测静态规划（MPSP）技术提出了一种改进的MPSP预测-校正制导律。建立了基于能量的高超声速滑翔飞行器的运动学模型,详细推导了MPSP预测-校正制导理论。构建了基于三维快速轨迹规划的初值生成器,探讨了初始下降段对滑翔段的影响因素。针对滑翔段初值干扰和气动参数摄动问题,设计了预测-校正制导律,进行了数字仿真。仿真结果表明,改进的MPSP预测-校正制导方法能够有效利用精确的猜测值,对干扰初值和气动摄动具有较强的鲁棒性。     

一种适用于拦截高速目标的末段导引律

基于在视线坐标系中的导弹-目标相对运动模型,以控制导弹-目标视线角速度趋于零为基本思想,设计了一种末制导律,用于拦截高超声速目标。以脱靶量和能量消耗为约束条件,以目标无机动时有很好的性能为目的,首先设计了最优制导律;然后,基于滑模控制理论,选择合适的滑模趋近律,对所设计的最优制导律进行改进得到最优滑模制导律;用李雅普诺夫理论证明了该制导律的稳定性,分析了该制导律参数选择条件。仿真结果表明,与最优制导律相比,所设计的制导律对目标机动有较强的鲁棒性,能以直接碰撞的方式拦截高超声速目标。     

基于反馈线性化及滑模控制的俯冲机动制导方法

以高超声速飞行器为研究对象,针对俯冲段精确制导及机动突防问题,基于反馈线性化与滑模控制研究了机动突防滑模跟踪制导方法。首先设计纵向俯冲及侧向机动弹道,其次利用反馈线性化将非线性运动方程转化为线性方程,基于该线性方程利用滑模控制对已设计的弹道进行跟踪,最终将线性跟踪制导律转换到非线性系统中获得非线性滑模跟踪制导律,该制导律完全基于飞行器当前运动状态,所需的相对运动信息大大减少。CAV-H飞行器制导实例仿真表明,该方法能够实现俯冲段精确制导及机动飞行,且对初始及过程偏差具有较强的鲁棒性,能够为高超声速飞行器俯冲段制导提供有益参考。     

攻击主动防御飞行器的微分对策制导律

基于微分对策理论设计了躲避护卫弹的同时攻击飞行器的制导律。根据传统的性能指标推导了该场景的微分对策制导律,并且根据权重系数的取值定义了三种制导律:最优追赶制导律、逃脱-追赶制导律和复合制导律。最优追赶制导律容易被护卫弹拦截,逃脱-追赶制导律容易造成导弹和飞行器的零控脱靶量急剧增大而使得攻击失败,复合制导律很难选择合适的权重系数。针对以上不足,提出了两种改进的制导律,并对该两种制导律的适用情况进行了分析。通过非线性模型仿真,验证了这两种方法的可行性。该两种制导律目的性强,攻击导弹可以躲避护卫弹进而攻击飞行器。     

Integrated guidance and control of guided projectile with multiple constraints based on fuzzy adaptive and dynamic surface

Based on fuzzy adaptive and dynamic surface (FADS), an integrated guidance and control (IGC) approach was proposed for large caliber naval gun guided projectile, which was robust to target maneuver, canard dynamic characteristics, and multiple constraints, such as impact angle, limited measurement of line of sight (LOS) angle rate and nonlinear saturation of canard deflection. Initially, a strict feedback cascade model of IGC in longitudinal plane was established, and extended state observer (ESO) was designed to estimate LOS angle rate and uncertain disturbances with unknown boundary inside and outside of system, including aerodynamic parameters perturbation, target maneuver and model errors. Secondly, aiming at zeroing LOS angle tracking error and LOS angle rate in finite time, a nonsingular terminal sliding mode (NTSM) was designed with adaptive exponential reaching law. Furthermore, combining with dynamic surface, which prevented the complex differential of virtual control laws, the fuzzy adaptive systems were designed to approximate observation errors of uncertain disturbances and to reduce chatter of control law. Finally, the adaptive Nussbaum gain function was introduced to compensate nonlinear saturation of canard deflection. The LOS angle tracking error and LOS angle rate were convergent in finite time and whole system states were uniform ultimately bounded, rigorously proven by Lyapunov stability theory. Hardware-in-the-loop simulation (HILS) and digital simulation experiments both showed FADS provided guided projectile with good guidance performance while striking targets with different maneuvering forms.     

具有终端角度约束的H_∞制导律设计

针对导弹对地面运动目标精确攻击时姿态约束的H_∞末制导问题,提出了一种新的具有终端角度约束的制导律.基于二维弹目相对运动学的非线性关系,并将目标机动运动和系统结构摄动作为外部的扰动,建立了垂直平面内弹目相对运动的数学模型.以命中点终端姿态角跟踪误差和控制能量最小为性能指标,同时基于零化弹目视线角速率的思想, 设计得到了非线性H_∞鲁棒制导律.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,而非求解HJI偏微分方程,同时也避免了对剩余时间的估计.数字仿真表明这种制导律在不需要任何目标运动信息的情况下,仍然保证终端角度和制导精度的要求,具有很强的鲁棒性和适应性.     

一种拦截机动目标的最优制导律设计

引入伪控制变量的概念,建立了线性化的描述导弹与目标相对运动的状态方程.应用线性二次型最优控制理论和改进剩余时间的计算方法,提出了一种拦截高机动目标的最优制导律.通过与比例导引律在平面拦截过程中的仿真结果对比分析,表明所提出的最优制导律在拦截机动目标时更为有效.     

Guidance Law Design Under Impact Angle Constraint Based on Nussbaum-type Gain Technique

Aiming at the guidance problem under impact angle constraint for homing missile against ground targets,a new adaptive robust nonlinear terminal guidance law was proposed in this paper.According to nonlinear kinetic relationship between the missile and target in vertical plane,a mathematic model was formulated while the motion of target and the system structure perturbation were regarded as limited disturbances.Based on the ideas of zeroing the rate of line-of-sight(LOS)angle and the impact angular tracking error,a nonlinear control strategy was contrived to obtain adaptive robust guidance law by adopting Nussbaum-type gain technique under a desired impact angle.The stability of guidance system in finite time is strictly proven by using Lyapunov stability theory.Finally,the numerical simulation verifies the effectiveness of the proposed scheme.     

考虑弹体动态特性的机动效率约束导引律

针对考虑交会角和过载约束导引律在大机动时能量损失大的问题,提出一种考虑导弹机动效率的多约束制导律。应用最优二次型原理推导出考虑一阶弹体延迟的时变导引系数闭环次优制导形式,将导弹机动时刻阻力系数引入时变权系数,并通过迭代确定机动效率约束边界。将时变约束表示成剩余时间与弹体延迟时间的函数,代入制导指令,进行弹道仿真。结果表明,对于常值与机动目标,文中制导律与过载约束导引律同只考虑交会角约束的导引律相比,对目标均能实现末端弹道成型要求,而考虑机动效率的制导指令分配更为合理,在避免指令加速度饱和的同时有效降低了拦截末端速度损耗,提高制导精度与毁伤效果。且该制导律中时变权系数无须配平求解,在保证精度的同时极大地提高了迭代速度。     

Cooperative interception with fast multiple model adaptive estimation

For the case that two pursuers intercept an evasive target, the cooperative strategies and state estimation methods taken by pursuers can seriously affect the guidance accuracy for the target, which performs a bang For the case that two pursuers intercept an evasive target, the cooperative strategies and state estimation methods taken by pursuers can seriously affect the guidance accuracy for the target, which performs a bang-bang evasive maneuver with a random switching time. Combined Fast multiple model adaptive estimation (Fast MMAE) algorithm, the cooperative guidance law takes detection configuration affecting the accuracy of interception into consideration. Introduced the detection error model related to the line-of-sight (LOS) separation angle of two interceptors, an optimal cooperative guidance law solving the optimization problem is designed to modulate the LOS separation angle to reduce the estimation error and improve the interception performance. Due to the uncertainty of the target bang-bang maneuver switching time and the effective fitting of its multi-modal motion, Fast MMAE is introduced to identify its maneuver switching time and estimate the acceleration of the target to track and intercept the target accurately. The designed cooperative optimal guidance law with Fast MMAE has better estimation ability and interception performance than the traditional guidance law and estimation method via Monte Carlo simulation.