DESIGNING REDUCED-ORDER CONTROLLERS OF MIXED SENSITIVITY PROBLEM FOR FLIGHT CONTROL SYSTEMS

Based on linear matrix inequalities (LMI), the design method of reduced-order controllers of mixed sensitivity problem is studied for flight control systems. It is shown that there exists a controller with order not greater than the difference between the generalized plant order and the number of independent control variables, if the mixed sensitivity problem is solvable for strict regular flight control plants. The proof is constructive, and an approach to design such a controller can be obtained in terms of a pair of feasible solution to the well-known 3 LMI. Finally, an example of mixed sensitivity problem for a flight control system is given to demonstrate practice of the approach.     

飞机选型的综合评价与优先权灵敏度分析

 采用多目标决策理论建立了一个多层次的飞机选型的综合评价模型,在此基础上,讨论了优先权灵敏度分析的方法以及在飞机选型问题上的应用。     

Sensitivity Considerations in Trajectory Optimization

A technique by which the trajectory optimization problem can be formulated to include the trajectory sensitivity functions in the performance index is presented. It is shown that an explicit steering law, which can be derived for the upper atmospheric flight of a vehicle, is a function of the sensitivity state, adjoint vectors, and the parameters of the chosen trajectory dynamics. The new steering law is compared with the one without sensitivity considerations. A computational method is presented to implement the new steering law.     

钢/橡胶胶接结构脱粘缺陷Lamb波检测的模式选择

针对Lamb渡检测胶接结构脱粘缺陷时如何选择恰当的模式这一问题,研究了板内质点振动位移与检测灵敏度之间的关系.以钢板/橡胶胶接结构为例,用不同模式的Lamb波进行了检测试验研究.结果表明,不同模式的波有不同的检测灵敏度,选择在板表面具有较大位移而在板内具有较小位移的Lamb波模式,可以提高胶接结构脱粘缺陷检测灵敏度.     

两类混合优化控制分配算法的灵敏度分析

在研究指令灵敏度的基础上,定义了一种描述控制分配算法响应飞机包线范围内工作状态变化的灵敏度.阐明了控制分配模块的功能,对比研究了两类实时性较好的混合优化控制分配算法:线性混合优化法和二次混合优化法;分别采用单纯型法和有效集法进行求解,结合指令灵敏度和状态灵敏度的定义分析了两类混合优化方法的灵敏度.计算结果表明,在虚拟指...     

On the Sensitivity of a Fixed-Point Smoothing Algorithm

This paper presents a simple approach to the derivation of sensitivity measures of smoothing algorithms. It is proposed that the known sensitivity results of the Kalman filtering algorithm be utilized along with the state augmentation approach for this purpose. The sensitivity measures so obtained are easier to compute than the ones available in the literature. It is then shown that the fixed-point smoothing algorithm, derived recently by Biswas and Mahalanabis [1], [2], is less sensitive to model parameter variations than the algorithm studied by Griffin and Sage [7], [8]. The case of a satellite tracking problem is presented by way of illustrating the results.     

概率盒全局灵敏度和活跃子空间跨层降维

航空航天仿真系统中的不确定性通常是多源的、混合的,并且系统参数的维数众多。针对高维混合不确定性量化问题,提出一种结合概率盒全局灵敏度和活跃子空间的跨层降维方法。在随机和认知不确定的概率盒表征基础上,使用不确定性缩减法分析参数的全局灵敏度继而进行参数筛选;基于输出梯度协方差矩阵的特征分解,使用活跃子空间法对参数进行降维;构造出一种概率盒表征下的参数筛选和跨层降维方法。最后以NASA多学科不确定性量化挑战问题为例,通过概率盒全局灵敏度分析进行第1层次的参数筛选,原有的21维输入参数减为13维;随后采用活跃子空间进行第2层次的参数降维,维数进一步降至一维。研究结果表明,所提出的方法能够对混合不确定性参数进行灵敏度排序,还能够有效降低模型输入参数的维度,为高维系统混合不确定性量化和进一步的优化工作奠定了基础。     

Sensitivity Algorithm as a Solution of an Inverse Strength Problem Applied to Thin-Walled Structures

The problem of identifying rigidities in stiffeners of a four-stiffener torsion box operating in tension–compression under the action of an external load is considered. An iterative approach is proposed using a sensitivity function and a sensitivity matrix.     

基于子结构法的大型结构数值敏度计算技术

针对大型结构直接精确敏度分析方法解方程规模大、求解时间长的问题,发展一套基于有限元子结构法的处理技术。大型结构中,数值敏度计算的伪载荷仅与涉及设计变量的结构单元有关,因此存在大量零元的可能性。根据此特点通过节点重排将与设计变量有关的节点位移排到总位移列阵序的后面,按重排后的顺序投放刚度矩阵,然后对其进行区域分块,并聚缩得到规模较小的矩阵。算例计算表明:利用此矩阵求解结构位移场的导数,不但保持了精确法的精度,而且在优化设计的敏度计算中,这些较小规模的数据又被多次使用,从而显著提高计算效率。     

VTOL Flight-Control System Design Using Sensitivity Analysis

This paper considers the use of sensitivity and error analysis algorithms for combined estimation and control systems to conduct trade-off studies for sensor equipment packages for a simple longitudinal inal motion VTOL hover controller. Simulation results indicate that in many problems the extra effort expended in model identification ation is justified in order to reduce the sensitivity of the system performance to implementation tolerances. The results of the hover controller design problem demonstrate the use of the algorithms as an aid in design decision making.     

基于LMI的一类非线性离散动态系统的鲁棒故障诊断

 针对一类非线性不确定离散动态系统 ,提出了一种新型鲁棒故障诊断方法。该方法不但能够对被诊断系统进行故障检测 ,而且同时能够实现故障的分离和辨识。它首先通过构造一个辅助系统 ,将故障的辨识问题转化为min max问题 ,并且通过巧妙设计辅助系统的输出增益矩阵 ,使得辅助系统与被诊断系统的状态差值方程和输出差值方程稳定 ,然后将min max问题转化成LMI问题 ,最后通过求解LMI问题来实现故障诊断。分析了故障诊断方法的鲁棒性、灵敏度和故障的辨识误差。仿真结果验证了该方法的有效性。     

H∞控制在飞行/推进综合控制系统中的应用

研究了多变量控制技术应用于飞行/推进一体化控制器的设计问题。对于耦合的飞行子系统和推进子系统,建立了飞行/推进综合模型,分析了对模型输出端乘性不确定性和对跟踪误差性能不确定性的飞行/推进综合多变量反馈控制系统转化为混合灵敏度函数整形问题设计的途径,提出了一种按时间加权的误差平方积分(ITAE)准则选择加权灵敏度函数的方法,应用混合加权灵敏度H∞控制器的设计方法对飞行/推进一体化模型进行了设计,并对所求的最优控制器进行了控制系统性能仿真验证。     

Estimation of the covariance matrix for dependent signal samples:polarization diversity systems

The problem of the estimation of covariance matrices in multichannel radar system when signal samples are statistically dependent is addressed. An optimal maximum likelihood (ML) estimate is derived. Probability characteristics and sensitivity to signal models of the estimate are evaluated for a polarization diversity system     

存在外部干扰的网络控制系统故障检测和优化

针对存在时延和丢包的网络控制系统,研究了系统的故障检测滤波器设计和优化设计问题.通过泰勒展开将未知时延处理成外界干扰,采用伯努利随机过程来描述丢包现象.设计观测器产生残差信号,将故障检测问题转化为H∞滤波问题.通过Lyapunov函数方法分析了系统的稳定性.以线性矩阵不等式的形式给出了滤波器存在的充分条件和求解方法.为进一步提高系统对故障信号的灵敏度,采用了一种优化设计方法对故障检测系统进行了优化.最后通过仿真验证了算法的有效性.     

复杂机构设计中的载荷敏感性分析

设计复杂机构,涉及的载荷种类往往很多,为达成设计目的,每一载荷的敏感性均应进行分析,并完成作用力等效综合。载荷敏感性分析目的是找出机构中对实现功能会造成较大影响的载荷因素,通过作用力等效综合,回答系统在全工作包线内能否满足设计需求,以保证机构功能顺利实现。以某型飞机前起落架机构设计为例,对其运动过程中的各种载荷进行了敏感性分析,再现了实际工作中出现的问题,并提出解决方案,体现了载荷敏感性分析在复杂机构设计中的应用和重要性。     

Signal Acquisition Techniques for Receiving Arrays of Large-Aperture Antennas

This paper considers the signal phase acquisition problem for arrays of large-aperture steerable antennas. In particular, long-range signal acquisition is considered for those cases in which the signal-to-noise ratio in each antenna-receiver channel is too low to permit signal phase-lock in each individual receiver. Techniques are discussed which promise to extend the array acquisition sensitivity toward that of an equivalent-area single-aperture antenna. Several acquisition methods are analyzed mathematically and an approximate minimum power threshold estimated for each technique. A numerical comparison between the acquisition techniques for various assumed atmospheric conditions is presented which indicates the limitations on array sensitivity imposed by both the transmission medium and the acquisition technique.     

Adjoint boundary sensitivity method to assess the effect of nonuniform boundary conditions

The performance of turbomachinery is largely affected by the nonuniform boundary conditions caused by the coupling between neighboring parts, such as the inlet distortion and hot streak. Existing works study this problem by comparing the flow fields with uniform and nonuniform boundary conditions, which is cost extensive. In this work a new and efficient method is developed by computing the sensitivities of arbitrary performance metric relative to the boundary conditions and this method quantita...     

渐变结构系统模糊可靠性灵敏度分析的矩方法(英文)

For a degradable structural system with fuzzy failure region, a moment method based on fuzzy reliability sensitivity algorithm is presented. According to the value assignment of performance function, the integral region for calculating the fuzzy failure probability is first split into a series of subregions in which the membership function values of the performance function within the fuzzy failure region can be approximated by a set of constants. The fuzzy failure probability is then transformed into a sum of products of the random failure probabilities and the approximate constants of the membership function in the subregions. Furthermore, the fuzzy reliability sensitivity analysis is transformed into a series of random reliability sensitivity analysis, and the random reliability sensitivity can be obtained by the constructed moment method. The primary advantages of the presented method include higher efficiency for implicit performance function with low and medium dimensionality and wide applicability to multiple failure modes and nonnormal basic random variables. The limitation is that the required computation effort grows exponentially with the increase of dimensionality of the basic random vari- able; hence, it is not suitable for high dimensionality problem. Compared with the available methods, the presented one is pretty competitive in the case that the dimensionality is lower than 10. The presented examples are used to verify the advantages and indicate the limitations.     

Statistically Linearized Estimation of Reentry Trajectories

Several filters are applied to the problem of state estimation from inertial measurements of reentry drag. This is a highly nonlinear problem of practical significance. It is found that a filter based on the technique of statistical linearization performs better than the extended Kalman in this application. This is believed to be the first application of the statistically linearized filter to a practical dynamics problem. A sensitivity analysis is performed to demonstrate the relative insensitivity of this filter to modeling errors and approximations.     

Reliability and Sensitivity Analysis of Transonic Flutter Using Improved Line Sampling Technique

The improved line sampling (LS) technique, an effective numerical simulation method, is employed to analyze the probabilistic characteristics and reliability sensitivity of flutter with random structural parameter in transonic flow. The improved LS technique is a novel methodology for reliability and sensitivity analysis of high dimensionality and low probability problem with implicit limit state function, and it does not require any approximating surrogate of the implicit limit state equation. The improved LS is used to estimate the flutter reliability and the sensitivity of a two-dimensional wing, in which some structural properties, such as frequency, parameters of gravity center and mass ratio, are considered as random variables. Computational fluid dynamics (CFD) based unsteady aerodynamic reduced order model (ROM) method is used to construct the aerodynamic state equations. Coupling structural state equations with aerodynamic state equations, the safety margin of flutter is founded by using the critical velocity of flutter. The results show that the improved LS technique can effectively decrease the computational cost in the random uncertainty analysis of flutter. The reliability sensitivity, defined by the partial derivative of the failure probability with respect to the distribution parameter of random variable, can help to identify the important parameters and guide the structural optimization design.