大系统分散控制的非线性影响

 在大系统的控制问题中,除了递阶控制外,分散控制是另一种重要的控制方案。局部分散镇定近来受到重视。对各子系统的局部线性反馈,由于能源限制及其他因素,常引出非线性反馈。本文将研究这样的非线性对大系统稳定性的影响。     

Dynamic coefficients and stability analysis of a water-lubricated hydrostatic bearing by solving the uncoupled Reynolds equation

This paper concerns the dynamic characteristics of incompressible laminar flow hydrostatic bearings. An improved method based on the mathematical perturbation technique for calculating the stiffness and damping coefficients of hydrostatic bearings is presented; it raises the calculation efficiency by uncoupling the recess flow continuity equations from the solving of the Reynolds equation. The dynamic coefficients of a water-lubricated four-recess hydrostatic bearing are calculated with both the improved method and the conventional method. The comparisons between these two methods validate the effectiveness and correctness of the improved method. Furthermore, the dynamic response and stability characteristics of a rotor supported by the hydrostatic bearing are calculated and compared with experimental results. First, the dynamic responses calculated with the linear and nonlinear bearing dynamic coefficients models show that the linear model is inaccurate if the rotor whirls in a large eccentricity ratio range, owing to the nonlinearity of stiffness and damping. Second, according to the numerical and experimental results, the nonlinearity of bearing stiffness and damping coefficients could induce double rotational frequency component in the unbalance response frequency spectrum. Finally, the numerical results indicate that the stability threshold speed of the bearing increases with eccentricity ratio. The improved method proposed can be used to evaluate the dynamic performance of hydrostatic bearings efficiently, and the bearing characteristics presented could contribute to a better understanding of the performance of water-lubricated hydrostatic bearings.     

放宽静稳定电传客机纵向短周期品质评定方法

民用客机强调飞行的安全性和舒适性,由于设计与使用的特点,其短周期模态的自然频率、操纵灵敏度与带宽均较低,时间延迟较大,且一般采用不同于军用运输机的控制律构型。提出以军用规范作为参照的电传客机飞行品质评定及适航审定方法,是现代民用客机飞行控制律设计的关键问题。为改善某放宽静稳定构型客机的短周期飞行品质,设计了迎角、C^*和过载构型飞行控制律。按咨询通告AC25-7A所给出的操纵品质等级评定方法(HQRM),采用等效系统评定法、高阶频域法和高阶时域法评定了闭环飞机的短周期飞行品质及适航符合性。结果表明,军用规范条款对时延和带宽的限制对于客机可适当放宽。对于迎角构型,等效系统参数准则、带宽准则和俯仰速率响应准则均适用;过载构型评定应采用等效系统参数准则、俯仰速率响应准则;C^*属非常规响应构型,应采用带宽准则和俯仰速率响应准则评定。     

基于神经网络补偿动态逆的飞翼布局无人机姿态控制方法

将动态逆控制技术应用于飞翼式布局无人机的姿态控制回路,以适应飞翼布局无人机控制系统要求。介绍了动态逆控制器解耦控制原理,以及神经网络补偿结构的作用和设计方法,并基于无人机非线性姿态运动学和动力学模型设计了基于神经网络补偿的动态逆控制器。在强耦合、强非线性的飞翼布局无人机模型上,通过数学仿真验证了系统具有良好的动态性能和稳态特性,控制器具有很强的鲁棒性。     

Nonlinear deformation and stability of supported oval cylindrical shells under torsion and bending with internal pressure

A problem of geometrically nonlinear deformation and stability of supported cylindrical shells with the oval cross-section contour is solved by the finite element method. The nonlinear deformation and stability of shells under combined loading by bending, torsion moments, transverse force and internal pressure are analyzed. The critical loads and buckling modes of shells are determined. The influence of deformation nonlinearity and shell ovality on critical loads is clarified.     

SAR performance-based fault diagnosis for electro-hydraulic control system: A novel FDI framework for closed-loop system

Model-based fault diagnosis serves as an efficient and powerful technique in addressing fault detection and isolation (FDI) issues for control systems. However, the standard methods and their modifications still encounter some difficulties in algorithm design and application for complex higher-order systems. To avoid these difficulties, a novel fault diagnosis framework based on multiple performance indicators of closed-loop control system is proposed. Under this framework, a so-called performance residual vector is constructed to measure the differences between the real system and the nominal model in terms of system stability, accuracy, and rapidity (SAR) respectively. The criteria for quantification, normalization of the SAR residuals and the explicit mappings between the thresholds and the required performance are given. FDI can be easily achieved simultaneously by monitoring the normalized residual vector length and direction in the SAR performance residual space. A case study on electro-hydraulic servo control system of turbofan engine is adopted to demonstrate the effectiveness of the proposed method.     

飞机滚转时惯性耦合运动的分岔分析

飞机非线性运动稳定性是非线性飞行动力学的重要组成部分,分岔分析则是非线性动力学系统运动稳定性分析的主要内容。应用中心流形的降维技巧和分岔分析方法,给出了一种快速有效的稳定性研究方法,并对飞机滚转时的惯性耦合运动进行了分岔分析和稳定性分析。本方法简便易行,可以大大减少计算工作量 ,其计算结果也是令人满意的。     

脉冲随机微分系统的均方指数稳定性分析

研究了脉冲随机时滞微分泛函方程的均方指数稳定性问题。利用Lyapunov-Razumikhin型方法及随机分析的一些技巧,建立了一类脉冲随机泛函微分方程的均方指数稳定性定理。     

关于非线性大系统的局部状态反馈和稳定区域估计

本文研究了非线性定常大系统利用局部状态反馈的控制以及稳定区域估计问题。文中给出的方法可用来处理较为广泛的系统,特别适合于“最小强相联系统”或具有类似性质的系统。对大型望远镜,应用此方法得到了相当好的结果。     

Analysis of nonlinear deformation and stability of oval cylindrical shells under combined loading by bending and torsion moments

A problem of geometrically nonlinear deformation and stability of cylindrical shells with noncircular cross-section contour is solved by the finite element method. The nonlinear system of algebraic equations to determine the nodal unknowns of finite elements is obtained with the use of the variational Lagrange principle. The system is solved by the method of successive loadings with the use of the Newton-Kantorovich method of linearization, the method of solving linear Craut’s equations and Sylvestor’s stability criterion. The nonlinear deformation and stability of shells with the oval and elliptical cross-sections under combined loading by bending and torsion moments are analyzed. The critical loads and buckling modes of shells are determined. The influence of deformation nonlinearity, shell ovality and ellipticity on the critical loads is clarified.     

复合材料薄壁圆柱壳体的稳定性

 本文讨论了复合材料圆柱壳体稳定性的复杂性,总结了已经取得的研究成果,并与有关实验进行了比较。重点评述了几何非线性、物理非线性、初始缺陷、横向剪切效应和前屈曲变形状态等因素对失稳性能的影响。对今后的工作给出了建议。     

结构随机跳变系统的自举滤波方法

针对在结构随机跳变系统的滤波中存在的“基础结构失真”问题,提出了一种对系统结构的非线性、系统状态和噪声的分布形式不再限制的滤波新方法。并就该方法的性能同目前广泛应用的滤波方法做了仿真比较,仿真结果证实了该方法的有效性及其优良性能。     

Analysis of nonlinear deformation and stability of reinforced elliptic cylindrical shells under bending with internal pressure

A finite element statement of solving problems on stability of reinforced elliptic cylindrical shells taking into account momentness and nonlinearity of their subcritical stress strain state is presented. The explicit expressions for displacements of noncircular cylindrical shell elements as rigid bodies are determined by integrating the equations obtained by equating the components of linear strains to zero. These expressions were used to construct the form functions for an efficient quadrilateral finite element of natural curvature. An efficient numerical algorithm of nonlinear deformation and stability of shells was developed. The stability of reinforced elliptic cylindrical shells under combined loading by bending moment, transverse boundary force and internal pressure is analyzed. We also examine how the critical loads are affected by the strain nonlinearity and ellipticity of shell deformation at the subcritical stage.     

机载多目标跟踪系统模型和运动补偿

研究多目标跟踪技术在机载雷达应用中的特殊问题——坐标系的选择、载机运动的稳定与补偿。建立了数学模型 ,进行了仿真研究。研究结果表明 :载机运动的稳定与补偿是机载多目标跟踪中必须重视的问题 ,并得出基于 NED和 RHV的组合坐标系下的模型 ,在机载应用中有很好的性能。优点是易于解耦、避免了非线性、降低了计算量、且有较高的精度     

航空工程复杂光学系统的计算机辅助设计

针对不共轴的或含有复杂形面的光学系统,探讨其在计算机上的最优化设计。讨论了新型优化质量指标的建立、对不收敛状态的识别查处、边界约束及非线性处理等问题。     

Polynomial networks based adaptive attitude tracking control for NSVs with input constraints and stochastic noises

This paper proposes a backstepping technique and Multi-dimensional Taylor Polynomial Networks (MTPN) based adaptive attitude tracking control strategy for Near Space Vehicles (NSVs) subjected to input constraints and stochastic input noises. Firstly, considering the control input has stochastic noises, and the attitude motion dynamical model of the NSVs is actually modeled as the Multi-Input Multi-Output (MIMO) stochastic nonlinear system form. Furthermore, the MTPN is used to estimate the unknown system uncertainties, and an auxiliary system is designed to compensate the influence of the saturation control input. Then, by using backstepping method and the output of the auxiliary system, a MTPN-based robust adaptive attitude control approach is proposed for the NSVs with saturation input nonlinearity, stochastic input noises, and system uncertainties. Stochastic Lyapunov stability theory is utilized to analysis the stability in the sense of probability of the entire closed-loop system. Additionally, by selecting appropriate parameters, the tracking errors will converge to a small neighborhood with a tunable radius. Finally, the numerical simulation results of the NSVs attitude motion show the satisfactory flight control performance under the proposed tracking control strategy.     

Mahalanobis distance-based fading cubature Kalman filter with augmented mechanism for hypersonic vehicle INS/CNS autonomous integration

Inertial Navigation System/Celestial Navigation System(INS/CNS) integration, especially for the tightly-coupled mode, provides a promising autonomous tactics for Hypersonic Vehicle(HV) in military demands. However, INS/CNS integration is a challenging research task due to its special characteristics such as strong nonlinearity, non-additive noise and dynamic complexity.This paper presents a novel nonlinear filtering method for INS/CNS integration by adopting the emerging Cubature Kalman Filter(C...     

Aeroelastic stability analysis of heated flexible panel subjected to an oblique shock

The critical conditions for aeroelastic stability and the stability boundaries of a flexible two-dimensional heated panel subjected to an impinging oblique shock are considered using theoretical analysis and numerical computations, respectively. The von-Karman large deflection theory of isotropic flat plates is used to account for the geometrical nonlinearity of the heated panel, and local first-order piston theory is employed in the region before and after shock waves to estimate the aerodynamic pressure. The coupled partial differential governing equations, according to the Hamilton principle, are established with thermal effect based on quasi-steady thermal stress theory. The Galerkin discrete method is employed to truncate the partial differential equations into a set of ordinary differential equations, which are then solved by the fourth-order Runge-Kutta numerical integration method. Lyapunov indirect method is applied to evaluate the stability of the heated panel. The results show that a new aeroelastic instability (distinct from regular panel flutter) arises from the complex interaction of the incident and reflected wave system with the panel flexural modes and thermal loads. What’s more, stability of the panel is reduced in the presence of the oblique shock. In other words, the heated panel becomes aeroelastically unstable at relatively small flight aerodynamic pressure.     

大跨度悬索桥静风失稳形态及机理研究

基于MSC.MARC和PYTHON脚本语言在综合考虑静风荷载非线性和结构几何非线性影响的基础上,利用风荷载增量与双重迭代(结构几何非线性收敛迭代和风荷载三分力系数收敛迭代)相结合的方法,对大跨度悬索桥空气静力行为和失稳全过程进行了分析.通过分别加大三分力系数中某个分量的方式,揭示了气动力系数对静风稳定性的影响,讨论了不同初始攻角下大跨度悬索桥梁静风失稳的发展路径,并对比分析了静风稳定线性和非线性两种计算方法的差异.     

小迎角高超声速非旋转钝锥非线性运动分析

采用分段拟合技术对小迎角高超声速(马赫数Ma=6)非旋转钝锥双平面拍摄风洞自由飞试验结果进行了分析,获得了非旋转钝锥在小迎角高超声速下气动导数非线性的具体形式,分析了非旋转钝锥在小迎角下的非线性运动特点。研究发现在小迎角范围内钝锥的动导数系数均呈现明显的非线性,而静导数系数非线性较弱,可近似为线性。各组试验的静、动导数系数的非线性形式表明,除模型Ⅱ外的其余模型均为两方向振幅不同的极限圆锥运动,模型Ⅱ为极限平面运动。每组试验两个平面的静导数系数在小迎角范围内保持基本相等。而无论出现极限圆锥运动的四组试验还是出现极限平面运动的一组试验,模型在俯仰和偏航两个方向的动导数系数均存在较大差异。