Optimal guidance of extended trajectory shaping

To control missile＇s miss distance as well as terminal impact angle, by involving the timeto-go-nth power in the cost function, an extended optimal guidance law against a constant maneuvering target or a stationary target is proposed using the linear quadratic optimal control theory.An extended trajectory shaping guidance（ETSG） law is then proposed under the assumption that the missile-target relative velocity is constant and the line of sight angle is small. For a lag-free ETSG system, closed-form solutions for the missile＇s acceleration command are derived by the method of Schwartz inequality and linear simulations are performed to verify the closed-form results. Normalized adjoint systems for miss distance and terminal impact angle error are presented independently for stationary targets and constant maneuvering targets, respectively. Detailed discussions about the terminal misses and impact angle errors induced by terminal impact angle constraint, initial heading error, seeker zero position errors and target maneuvering, are performed.     

发射惯性坐标系下误差角与数学平台失准角的推导与仿真

基于状态空间法的捷联惯性/天文组合导航系统(SINS/CNS)需要数学平台失准角作为观测值参与滤波估计,工程实际只能得到SINS、CNS二者的姿态误差角.以弹道导弹为背景,在发射惯性坐标系下分别推导了四元数和欧拉角形式的姿态误差角与数学平台失准角之间的相互转换矩阵.建立了弹道导弹SINS/CNS数学模型,并采用EKF和UKF算法验证了该转换矩阵.仿真结果表明误差转换矩阵的正确性.     

Three-dimensional Large Landing Angle Guidance Based on Two-dimensional Guidance Laws

 Both the design process and form of the three-dimensional (3D) suboptimal guidance law (3DSGL) are very complex. Therefore, we propose the use of two-dimensional (2D) guidance laws to meet the guidance requirements of 3D space. By analyzing the relationship between the flight-path angle and its projections on OXY and OXZ planes, we obtain the ideal design requirements of the guidance laws. Based on the requirements, we design a 2D suboptimal guidance law used in the horizontal plane; combining the 2D vertical suboptimal guidance law, we create a whole ballistic simulation of six degree-of-freedom. The results are compared with those using other three guidance modes in the case of large windage of the initial azimuth angle. When the proportional navigation guidance (PNG) law is used in the horizontal planes, the landing angle will obviously decrease. With the proposed guidance mode, the large landing angle can be realized and meet the guidance precision requirements. Moreover, the required overload can decrease to meet the control requirement. The effects of the proposed guidance mode are close to that of 3DSGL despite its very simple form.     

词汇教学中的问题思考

词汇的记忆与掌握，对以后词汇的灵活和正确使用是非常必要的。对于任何语言的初学者来说，词汇的掌握都是一个繁重的任务。传统的词汇教学往往把重点放在学生的业余时间对词汇的机械记忆上，可是这种方法忽略了在课堂上来自于教师指导的重要性。本文建议每位教师在课堂上应该尝试创造不同的形式，以便学生能够积极主动而不是被动地学习词汇。     

滑翔飞行器弹道规划与制导方法综述综述

滑翔飞行器以其突出的机动突防能力、高精度打击以及全球快速可达等优势成为当下航空航天领域研究热点。作为控制飞行器可靠执行既定飞行任务的核心部分,弹道规划与制导方法是关注的焦点。概述当前滑翔飞行器弹道规划与制导方法,尤其是基于标准剖面和基于预测校正思想的弹道规划与制导方法的研究现状。进一步,分析当下滑翔飞行器弹道规划与制导方法的研究热点与难点,并结合人工智能,对滑翔飞行器弹道规划与制导方法未来可能的发展趋势进行了展望。     

小天体柔性附着状态协同估计方法

针对小天体附着过程易发生倾覆、反弹导致任务失败问题,提出“柔性附着”概念,替代传统小天体探测的刚性附着模式,为提高小天体附着任务可靠性提供新的解决思路和技术途径。在此基础上,针对柔性着陆器的状态估计问题展开研究。首先建立了柔性着陆器近似模型,提出了柔性着陆器“等效面”概念及柔性着陆器姿态的近似表征方式,进而提出了柔性附着状态协同估计方法,并通过数值仿真检验了柔性着陆器状态协同估计的可行性。     

空间拦截修正比例导引律研究

基于追踪导引律和比例导引律,提出了一种新的空间拦截末制导律。通过调整两种导引法的系数决定其在导引法中的权重。考虑空间末段拦截的具体情况,在相对运动方程进行线性化处理的基础上可以得出运动方程的解析解。将非线性方程得出的数值解和这种导引律的解析解相比,仿真表明这种方法的解析解与数值解一致,且避免了最优制导复杂的解析结果。     

机动再入体的带落角约束扩展比例导引律设计

传统的各种制导律都是以获得最小脱靶量为最终目标,没有考虑到导弹击中目标时刻的末端落角.为了保证非自旋再入体完成精确打击目标的任务,针对非自旋再入体垂直打击目标的制导问题,设计了一种带落角约束的扩展比例导引律.仿真研究表明,所设计的末制导律能够保证非自旋再入体命中目标时的脱靶量和末端落角都能满足要求,可以为开展近空间非自旋再入体制导问题的研究提供测试平台.     

Guidance law with impact time and impact angle constraints

A novel closed-form guidance law with impact time and impact angle constraints is pro- posed for salvo attack of anti-ship missiles, which employs missile’s normal acceleration (not jerk) as the control command directly. Firstly, the impact time control problem is formulated as tracking the designated time-to-go (the difference between the designated impact time and the current flight time) for the actual time-to-go of missile, and the impact angle control problem is formulated as tracking the designated heading angle for the actual heading angle of missile. Secondly, a biased proportional navigation guidance (BPNG) law with designated heading angle constraint is constructed, and the actual time-to-go estimation for this BPNG is derived analytically by solving the system differential equations. Thirdly, by adding a feedback control to this constructed BPNG to eliminate the time-to-go errorthe difference between the standard time-to-go and the actual time-to-go, a guidance law with adjustable coefficients to control the impact time and impact angle simultaneously is developed. Finally, simulation results demonstrate the performance and feasibility of the proposed approach.     

Cooperative task assignment of multiple heterogeneous unmanned aerial vehicles using a modified genetic algorithm with multi-type genes

The task assignment problem of multiple heterogeneous unmanned aerial vehicles （UAVs）, concerned with cooperative decision making and control, is studied in this paper. The heterogeneous vehicles have different operational capabilities and kinematic constraints, and carry limited resources （e.g., weapons） onboard. They are designated to perform multiple consecutive tasks cooperatively on multiple ground targets. The problem becomes much more complicated because of these terms of heterogeneity. In order to tackle the challenge, we modify the former genetic algorithm with multi-type genes to stochastically search a best solution. Genes of chromo- somes are different, and they are assorted into several types according to the tasks that must be performed on targets. Different types of genes are processed specifically in the improved genetic operators including initialization, crossover, and mutation. We also present a mirror representation of vehicles to deal with the limited resource constraint. Feasible chromosomes that vehicles could perform tasks using their limited resources under the assignment are created and evolved by genetic operators. The effect of the proposed algorithm is demonstrated in numerical simulations. The results show that it effectively provides good feasible solutions and finds an optimal one.