基于逐步回归的模型误差估计及在天基测控系统中的应用研究

以双星定位系统的天基测控技术为应用背景,提出了一种能够自适应估计模 型误差的轨道确定方法。详细推导了观测模型中的系统误差形态,建立了能表征实际特征的 部分线性轨道改进模型,并利用二阶段法和核函数估计法对混合误差进行补偿,在此基础上 对补偿模型进行逐步回归分析,从中提取动力学模型误差,从而抑制了动力学模型误差的影 响,提高了轨道改进的精度。在本文的仿真环境下,部分线性轨道改进法能够有效抑制混合 误差对定轨精度的影响,提高天基测控的轨道确定精度。     

Gram-Schmidt回归及在刀具磨损预报中的应用

多元线性回归是一种应用广泛的统计分析方法.在实际应用中,当自变量集合存在严重多重相关性时,普通最小二乘方法就会失效.为解决这一问题,利用Gram-Schmidt 正交变换,提出一种新的多元线性回归建模方法——Gram-Schmidt回归.该方法可实现多元线性回归中的变量筛选,同时也解决了自变量多重相关条件下的有效建模问题.将该方法应用于机械加工过程中刀具磨损的预报分析,有效地进行了变量筛选,并得到了解释性强同时拟合优度也很高的模型结果.      

多元函数微分学中基本概念之间的关系

多元函数微分学是高等数学教学的重点之一,理清其基本概念之间的相互关系对于认识多元函数的性态具有重要的意义。通过两个命题的证明及反例的构造,阐述多元函数微分学中几个重要概念之间的相互关系。     

T-S模糊系统的部分状态反馈H∞控制

基于部分状态信息的控制器是一类特殊的静态输出反馈控制器, 一般难以利用线性矩阵不等式工具求解. 本文研究T-S模糊系统的部分状态反馈镇定及部分状态反馈H∞控制问题. 首先, 通过矩阵变换, 将T-S模糊系统的部分状态反馈镇定问题转换成求解一组线性矩阵不等式(LMIs); 然后, 以此为基础得到基于LMI的部分状态反馈H∞控制器设计方法; 最后, 通数值例子验证所给方法的有效性.     

民用航空发动机振动监测方法研究

对民用航空发动机振动监测原理、监测算法和发动机振动位移量到飞机振动单位的转换关系进行了系统研究。并在此基础上,结合民用航空发动机典型的叶片磨损问题,分析了发动机振动值随不同叶片磨损程度的变化趋势;给出了发动机振动检查程序,便于在飞机地面维护和飞行过程中提早发现发动机存在的结构故障,保障飞行安全。本文结合发动机振动特点提出的工程检测方法,具有一定的工程使用价值和参考意义。     

新型封严涂层高温高速磨耗试验机的研制

为模拟航空涡轮发动机气路封严配副在工作状态下的磨损磨耗现象,研究封严涂层的可磨耗性能,研制了1套新型的可磨耗性能评价试验器。该试验器采用叶片-涂层刮削式磨耗副,使用模拟轮盘带动叶片高速旋转实现叶尖的切线速度;采用封严涂层试样径向进给以模拟叶片刮削切入;使用压电石英晶体3向测力仪定量测量瞬态刮削力;采用高速高温火焰加热试样。考核结果表明:试验器能够完成叶尖切线速度为0~300 m/s、进给速率为1.5~2025μm/s、加热温度为20~800℃条件下的磨耗试验,试验效果良好,数据稳定可靠。     

偏最小二乘回归在军用飞机价格预测中的应用

由于军用飞机性能要求的不断提高,影响飞机采购价格的费用驱动因子繁多,使得原有的价格预测模型已经不适用于现代军用飞机。分析了军用飞机采购价格样本数据少、费用驱动因子多的特点,考虑到偏最小二乘回归(PLSR)方法在处理小样本多元数据方面的优势,应用PLSR对军用飞机采购价格进行预测。PLSR首先提取第1、第2主成分对采购价格样本的特异点进行剔除;然后进行变量投影重要度分析以筛选费用驱动因子;最后,PLSR对费用驱动因子进行回归建立军用飞机价格预测模型。实例表明,在军用飞机价格预测方面,与原有的预测模型和逐步多元回归模型相比,应用PLSR预测的精度更高,更能体现采购价格与飞机性能参数之间的关系。     

基于偏最小二乘的向后删除变量法及其在均匀设计中的应用

针对均匀设计中的小样本数据处理问题,讨论了一种偏最小二乘与向后删除变量法相结合的变量筛选方法。首先,利用偏最小二乘建立包含尽可能多的关键自变量的全模型,然后将向后删除变量法中的每一次最小二乘回归替换为偏最小二乘回归,得到基于偏最小二乘的向后删除变量法。实验结果表明,与逐步回归法相比．该方法的预测能力明显提高,且具有更好的稳定性。     

Cooperative formation control of multiple aerial vehicles based on guidance route in a complex task environment

In recent years, formation control of multi-agent has been a significant research subject in the field of cooperative control. However, previous works have mainly concentrated on formation control for simple point-mass model and linear model. In contrast, this paper presents a novel cooperative algorithm for multiple air vehicles formation control, which aims to devise a control strategy based on guidance route to achieve precisely coordinated formation control for a group of fixed-wing aircraft in a complex task environment. The proposed method introduces the leader-follower structure for effective organization of the multi-agent coordination. Moreover, the Partial Integrated Formation and Control (PIFC) is adopted to design the control law for Guidance-Route based Formation Control (GRFC). Additionally, the proposed approach designs two guidance-route generation strategies for two special situations to demonstrate the effectiveness of GRFC in complex task environments. Theoretical analysis reveals that the proposed control protocol for guidance command can ensure the overall stability and tracking accuracy of the system. Numerical simulations are performed to illustrate the theoretical results, and verify that the proposed approach can achieve coordinated formation control precisely in a complex task environment.     

Performance analysis of PPP ambiguity resolution with UPD products estimated from different scales of reference station networks

Integer ambiguity fixing with uncalibrated phase delay (UPD) products can significantly shorten the initialization time and improve the accuracy of precise point positioning (PPP). Since the tracking arcs of satellites and the behavior of atmospheric biases can be very different for the reference networks with different scales, the qualities of corresponding UPD products may be also various. The purpose of this paper is to comparatively investigate the influence of different scales of reference station networks on UPD estimation and user ambiguity resolution. Three reference station networks with global, wide-area and local scales are used to compute the UPD products and analyze their impact on the PPP-AR. The time-to-first-fix, the unfix rate and the incorrect fix rate of PPP-AR are analyzed. Moreover, in order to further shorten the convergence time for obtaining precise positioning, a modified partial ambiguity resolution (PAR) and corresponding validation strategy are presented. In this PAR method, the ambiguity subset is determined by removing the ambiguity one by one in the order of ascending elevations. Besides, for static positioning mode, a coordinate validation strategy is employed to enhance the reliability of the fixed coordinate. The experiment results show that UPD products computed by smaller station network are more accurate and lead to a better coordinate solution; the PAR method used in this paper can shorten the convergence time and the coordinate validation strategy can improve the availability of high precision positioning.