Six sigma robust design optimization for thermal protection system of hypersonic vehicles based on successive response surface method

Lightweight design is important for the Thermal Protection System(TPS) of hypersonic vehicles in that it protects the inner structure from severe heating environment. However, due to the existence of uncertainties in material properties and geometry, it is imperative to incorporate uncertainty analysis into the design optimization to obtain reliable results. In this paper, a six sigma robust design optimization based on Successive Response Surface Method(SRSM) is established for the TPS to improve the reliability and robustness with considering the uncertainties. The uncertain parameters related to material properties and thicknesses of insulation layers are considered and characterized by random variables following normal distributions. By employing SRSM, the values of objective function and constraints are approximated by the response surfaces to reduce computational cost. The optimization is an iterative process with response surfaces updating to find the true optimal solution. The optimization of the nose cone of hypersonic vehicle cabin is provided as an example to illustrate the feasibility and effectiveness of the proposed method.     

Evasion guidance algorithms for air-breathing hypersonic vehicles in three-player pursuit-evasion games

In practical combat scenario, the cooperative intercept strategies are often carefully designed, and it is challenging for the hypersonic vehicles to achieve successful evasion. Based on the analysis, it can be found that if several Successive Pursuers come from the Same Direction (SPSD) and flight with a proper spacing, the evasion difficulty may increase greatly. To address this problem, we focus on the evasion guidance strategy design for the Air-breathing Hypersonic Vehicles (AHVs) under the SPSD combat scenario. In order to avoid the induced influence on the scramjet, altitude and speed of the vehicle, the lateral maneuver and evasion are employed. To guarantee the remnant maneuver ability, the concept of specified miss distance is introduced and utilized to generate the guidance command for the AHV. In the framework of constrained optimal control, the analytical expression of the evasion command is derived, and the constraints of the overload can be ensured to be never violated. In fact, by analyzing the spacing of the pursers, it can be classified whether the cooperative pursuit is formed. For the coordination-unformed multiple pursers, the evasion can be achieved lightly by the proposed strategy. If the coordination is formed, the proposed method will generate a large reverse direction maneuver, and the successful evasion can be maintained as a result. The performance of the proposed algorithms is tested in numerical simulations.     

带攻角约束的高超声速飞行器自适应反步控制器设计

针对带攻角(AOA)约束的高超声速飞行器控制问题，提出一种基于非对称时变障碍函数的非线性自适应反步控制方法。首先，将飞行器模型化为严反馈形式，以反步法为基础进行控制器设计。然后通过光滑饱和函数对名义攻角指令信号进行限幅，并保证限幅信号的可导性，限幅产生的误差通过设计辅助系统进行补偿。进而使用障碍函数对攻角指令跟踪误差进行非对称时变约束。针对不确定性和干扰，设计新型自适应律对集中干扰上界进行估计并补偿。最终通过Lyapunov理论证明了闭环系统状态量一致最终有界并且攻角始终满足时变约束。仿真结果表明，本文方法能够在满足攻角约束基础上保证良好跟踪性能。     

Numerical analysis of hypersonic thermochemical non-equilibrium environment for an entry configuration in ionized flow

A theoretical methodology for thermochemical non-equilibrium flow combing with the HLLC (Harten-Lax-van Leer Contact) scheme was applied to study the hypersonic thermochemical non-equilibrium environment of an entry configuration in ionized flow. A two-temperature controlling model was utilized and the Gupta’s 11 species (N₂, O₂, NO, O, N, NO⁺, N₂⁺, O₂⁺, N⁺, O⁺, e^?) thermochemical non-equilibrium model was taken. Firstly, numerical calculations of hypersonic thermochemical non-equilibrium environments for different aerodynamic shapes were carried out to verify the reliability of the method above. Then, the method was used to research the effects of ionization and wall catalysis on the hypersonic thermochemical non-equilibrium environment of the entry configuration in ionized flow. The shock stand-off distance can be reduced by thermochemical reactions but doesn’t continue to decrease significantly when ionization occurs. The shock stand-off distance calculated by the 11 species model is 4.2% smaller than that calculated by the 5 species (N₂, O₂, NO, O, N) thermochemical non-equilibrium model without considering ionization. Ionization reduces wall heat flux but increases wall pressure a little. The effect of ionization on aerothermal loads is greater than that of aerodynamic loads. The thermochemical reactions of electrons and ions catalyzed at the wall increase wall heat flux significantly but make a small change in wall pressure. The maximum wall heat flux obtained by only considering the electrons and ions catalyzed at the partially catalytic wall condition is 11.8% less than that calculated at the super-catalytic wall condition.     

谱估计理论在弹道数据参数化建模中的应用

针对高超声速飞行器防御作战中目标运动规律的描述问题，提出一种基于经典和现代谱估计理论的弹道数据参数化分析和建模方法。该方法将弹道数据视作非平稳随机信号，研究其变化规律：首先，通过线性消势法消除信号的线性趋势，将其转变为平稳信号，以便于进行谱估计；然后，采用Welch算法给出大致的谱图，结合该谱图和改进的协方差法确定自回归参数模型的阶数，以避免模型阶数选择准则引起的不确定性问题；最终，给出弹道数据的参数化模型。仿真结果表明，使用本文算法建立的弹道数据参数化模型与动力学模型具有较高的一 致性。     

高超声速滑翔再入定向定速打击末制导算法

以具有终端落角和落速约束的小升阻比短距滑翔高超声速再入打击飞行器为研究对象，通过引入弹道调整段来实现对飞行器的初步大幅度减速，并使其满足中末制导交班条件，以解决飞行器捕获目标后难以直接对其进行定向定速打击的问题。首先设计了一种变角偏差反馈系数的偏置比例制导律，解决了末端攻击段弹道下压困难以及导引头视场稳定跟踪等问题。在此基础上，建立了一种基于攻角和弹道倾角估计的末端减速指令生成方法，有效解决了基于理想速度曲线减速控制方法精度不足的问题。因此，数值仿真结果表明该制导方案能够有效控制飞行器终端落角和落速，并具有较高的制导精度。     

场协同原理在高超声速化学非平衡流动中的推广

应用理论分析与数值模拟方法，将对流传热的场协同原理从不可压缩流动推广至高超声速化学非平衡流动中。结果表明，高超声速化学非平衡层流与湍流的热流密度取决于流动的当地单位体积的动量与单位质量总焓梯度的协同。用当地单位体积的动量与单位质量总焓梯度的协同研究高超声速化学非平衡流动的壁面传热问题，对层流流动下的对流传热，不但计及了高超声速化学非平衡流的密度变化对热流密度的影响，而且包括了静焓梯度、压力梯度、边界层内的分子黏性剪切效应对热流密度的作用；对湍流问题，除了上述层流流动各项对热流密度的影响外，还计及了雷诺剪切应力对热流密度的作用。考虑到高超声速化学非平衡流静焓的定义，高超声速化学非平衡层流及湍流的场协同同时计及所有组分的平动能、转动能、振动能及电子能等梯度的贡献。     

拦截高速目标的比例与反比例导引捕获区分析

针对拦截高速目标的作战特点，分析了比例导引(PN)与反比例导引(RPN)的捕获区。首先，通过分析拦截弹与目标的相对运动关系，推导得到了顺轨和逆轨的零控拦截条件，此条件由目标和拦截弹的速度前置角以及二者速度比确定；其次，以拦截弹和目标速度前置角为坐标系，推导得到了PN以及RPN捕获区以及各自导航比设置范围。PN的捕获区由逆轨零控拦截条件以及与其相切且斜率为1/(N-1)的两条直线构成，RPN的捕获区由顺轨零控拦截条件以及与其相切且斜率为1/(-N-1)的两条直线构成；然后，利用函数对称性将PN与RPN捕获区转换到同一坐标区间，得到了相同条件下RPN捕获区要大于PN捕获区的结论；最后，开展了四种情形下的仿真，验证了本文捕获区分析的合理性及有效性。     

考虑输入饱和的固定翼无人机自适应增益滑模控制

针对复杂环境下的固定翼无人机飞行控制问题，考虑输入饱和以及复杂外界干扰的影响，提出一种基于自适应滑模控制方法的固定翼无人机飞行控制策略。首先，对固定翼无人机模型进行介绍，将模型分为姿态子系统和速度子系统；其次，针对姿态子系统和速度子系统的特点以及控制需求，分别采用自适应多变量螺旋滑模和自适应快速超螺旋滑模设计姿态控制器和速度控制器，该策略无需设计干扰观测器对外界干扰进行估计，仍然可以实现固定翼无人机对姿态参考指令和速度参考指令的有限时间精确跟踪，并基于Lyapunov的稳定性分析方法证明了闭环系统的稳定性。最后，对本文所提出的控制策略进行了仿真验证，结果表明该控制策略具有良好的控制性能。     

微阴极电弧推力器羽流探针诊断研究

微阴极电弧推力器（micro-cathode arc thruster,μCAT）具备功率低和结构简单的特点,能够满足微纳卫星的任务需求,具有良好的发展前景。μCAT羽流的诊断可以揭示推力器的加速机理,对提高其性能具有重要意义。利用朗缪尔三探针对μCAT羽流进行诊断,得到了μCAT羽流不同位置的电子温度、电子密度和离子速度等羽流特性,研究了外加磁场、充电时间和阴极材料对羽流特性的影响。研究结果表明,μCAT放电初期产生的等离子体电子温度较高,密度较大;随着等离子体向下游运动,电子温度和电子密度降低,离子速度增大;外加磁场的磁感应强度越强,电子温度和离子速度越高,电子密度有所降低;磁场位置适当向推力器下游平移,能够有效提高推力器中轴线的电子密度;μCAT充电时间越长,电子温度、电子密度和离子速度越大;相比于CuW和AgW阴极,Ti阴极羽流的电子温度更高,电子密度更低。