渐近严格伪压缩映象的Mann迭代序列

证明了希尔伯特空间上的渐近严格伪压缩映象的Ｍａｎｎ迭代序列的收敛性定理。     

飞机飞行控制系统参数多目标优化设计研究

针对传统飞行控制律参数单目标优化设计不能同时满足多控制指标要求,且与飞行品质要求缺乏相关性,物理意义不明确等缺点,提出了一种基于改进粒子群算法的飞行控制律多目标优化设计方法。算法模拟鸟类捕食过程,使得种群随着"食物"的发现和消耗,聚集为数量和构成动态调整多个子群,且子群粒子速度也随之进行自适应变异,从而有利于维持种群的多样性,有效抑制早熟收敛现象发生。最后,使用改进的粒子群优化算法对某型飞机纵向控制律设计进行数值仿真,结果显示,算法有效提高控制律优化调参效率,结果满足期望的飞行品质要求。     

Establishment criteria,routing algorithms and probability of use of inter-satellite links in mixed navigation constellations

In this paper, the establishment criteria, routing algorithm and the probability of use of ISLs (inter-satellite links) in the mixed navigation constellation of GEO satellites, IGSO satellites and MEO satellites are analyzed. Firstly, the general criteria of ISL establishment in mixed navigation constellation are proposed from the perspective of geometry, and the influences of these criteria on routing algorithms and the probability of use of ISLs are discussed. Then, from the perspective of autonomous orbit determination, the routing algorithm in mixed navigation constellation is designed. Thirdly, a stochastic study of ISLs load in mixed navigation constellation is proposed, and the formulae of probability of use of ISLs are given. Finally, in the simulation, the establishment criteria, routing algorithm and the probability of use of ISLs in a specific mixed navigation constellation of 3GEO + 3IGSO + 24MEO are discussed in detail. The findings of this paper provide a basis for the ISL establishment and routing algorithm, and offer the quantitative indicators for the use of ISL in the mixed navigation constellation.     

An experimental method to obtain the hard alpha anomaly distribution for titanium alloy aeroengine disks

A probability-based damage tolerance methodology has been proposed to improve the recognition of material anomalies, especially hard alpha (TiN) anomalies for aeroengine rotor disks. A key input to this method is hard alpha anomaly distribution, which reflects the occurrence rate and size of anomalies present in the finished part material of titanium rotors. Since anomalies rarely occur naturally, an experimental method is proposed to obtain the anomaly distribution for titanium alloy aeroengine disks to reflect and equivalently replace the manufacturing development in titanium industry. In general, the anomaly distribution information can be divided into two parts: the Probability of Detection (POD) curve and the detected anomaly distribution, which contains the size and frequency data of the detected anomalies. The distribution can be established based on several appropriate assumptions and derivation steps with different confidence levels of POD curves and detected anomaly distributions. In this case, the distribution can be obtained in a relatively short time as a key input to the probability-based damage tolerance methodology. Then the Probability of Failure (POF) can be calculated, and the value is found to vary with different confidence levels. On this basis, the conservative estimated POF can be obtained in conjunction with confidence levels.     

快收敛高可靠PPP-RTK大气改正模型生成方法

生成快收敛、高可靠的大气改正模型是PPP-RTK（precise point positioning-real-time kinematic）应用的关键和瓶颈问题。对顾及快收敛和可靠性的PPP-RTK大气改正模型生成方法进行了研究，通过迭代约束和时域约束保证其快收敛与可靠性，利用武汉CORS（continuously operating reference stations，连续运行参考站）进行试验，45s能够实现水平10cm（95%）的定位精度。在此基础上利用香港CORS进一步验证与分析得出：增加格网密度能够提升定位精度但会增加信息量，需要综合考虑定位效果和播发的信息量，面向普通用户的格网大小经纬度建议设置为0.5°~0.8°；生成大气改正模型的参考站空间分布必须合理且均匀，同时提出可以在合理范围内加入虚拟参考站约束大气改正模型的生成从而保证其收敛性与可靠性。     

双层梯度蜂窝吸波结构优化设计

设计了一种带蒙皮和金属底板的双层梯度蜂窝吸波结构，并利用Hashin-Shtrikman（HS）模型获得其等效电磁参数。在此基础上，以反射率低于-10dB带宽最大为优化目标，利用保收敛粒子群优化算法（Guarantee Convergence Particle Swarm Optimization，GCPSO）对四种不同排序方案的双层梯度蜂窝吸波结构进行优化设计。结果表明，入射电磁波的角度和极化方式以及吸波材料的选择、排序和厚度对双层梯度蜂窝结构的吸波性能有很大的影响；不同入射角度下TM极化时的吸波特性明显优于TE极化，在入射角为60^°时最为明显；对比四种方案优化结果显示，case 1方案由于选用损耗角较小的吸波材料充当透波层，分布于蒙皮下面，而选用损耗角较大的吸波材料作吸收层，并置于吸波结构底层，因而具有最大的优化目标函数，吸波效果最佳，且蜂窝高度仅为具有相同吸波效果的case 3方案的49.44%。因此，选择case 1方案作为本文最终优化结果。     

Finite time non-singular sliding mode control for spinning tether system with prescribed performance under artificial gravity mission

In this paper, the spinning tether system (STS) is applied to produce the artificial gravity overload with a proposed spin-up scheme in elliptical transfer orbits. To improve the comfort of the astronauts during spinning, the combined control scheme with tension and thrust is designed for spin-up. Then, based on the novel performance function and sliding mode technology, a finite time prescribed performance controller is proposed to track angular velocity for the desired artificial gravity overload. Compared with the existing works, the tracking error is controlled within the preset transient performance and converged to the origin within finite time even in the presence of unknown external disturbance. The stability of closed-loop tracking system is proved by Lyapunov theorem. Finally, the numerical simulations are given to demonstrate the effectiveness and robustness of the proposed controllers in the artificial gravity mission.