简谐激励下弯曲薄板的非线性运动方程

推导了两端固定和两端简支的弯曲薄板在其支承简谐激励下的运动微分方程,并利用Galerkin方法对其进行了离散化处理。     

UKF方法及其在方位跟踪问题中的应用

采用UKF(Unscented Kalman Filter)方法处理了平面内地面站对目标的方位跟踪的估计问题。目标的位置和速度由选定的高斯分布采样点来近似，在每个更新过程中，采样点随着状态方程传播并随着非线性测量方程变换，由此不但得到目标位置和速度的均值及较高的计算精度，而且避免了对非线性方程的线性化过程。仿真结果表明，UKF方法比传统的扩展卡尔曼滤波(EKF)算法有更高的估计精度，并能有效地克服非线性严重时，方位跟踪问题中很容易出现的滤波发散问题。     

在非结构网格上求解非线性航空声学问题的高精度有限体积法

介绍了有限体积数值方法,该方法适用于在任意非结构网格上求解线性和非线性的航空声学问题.本方法基于角点-中心的多参数格式,可在笛卡尔网格上达到六阶精度,对于可能的不连续性采用了自适应耗散.通过一系列算例研究了该方法的特性,结果表明:在模拟谐振型管中的噪声抑制中,所提出的方法是很有效的.     

卫星姿态跟踪系统的鲁棒控制器设计

研究了具有参数不确定性和外部干扰的卫星姿态跟踪控制问题。针对这一类多输入／多输出不确定非线性系统，提出了一个基于不确定项上界的鲁棒输出跟踪控制器设计方法。应用输入／输出反馈线性化法和李亚普诺夫方法，设计了一个控制律，它可确保系统输出按指数规律跟踪期望输出。该控制器计算简单，易于实现。仿真结果表明：即使系统存在不确定性，仍可在闭环系统中实现精确的姿态控制。     

Hexapod多自由度微激励系统的振动时域波形控制

摘要： Hexapod多自由度微激励系统常用于航天器有效载荷在轨微振动环境的模拟，但采用现有控制方法无法精确稳定跟踪低频正弦加速度，这是由于系统耦合度高、非线性在低频段较强，被控对象相位滞后过大造成的.针对此问题，基于传统离线迭代控制方法，提出一种复合超前校正、多倍频陷波滤波器的改进离线迭代控制方法.其中，离线迭代进行补偿控制，超前校正进一步补偿系统相位，多倍频陷波滤波器去除非线性干扰.跟踪低频定频正弦加速度的实验结果表明，对比传统离线迭代控制方法，改进方法收敛快、控制精度高；对比现有自适应正弦振动控制方法，改进方法将符合精度要求的加速度控制频带下限由14.5 Hz扩宽至8 Hz.实验结果验证了所提方法的有效性.     

Alfvén gravity waves in viscous solar plasma: Effect of the background flow

We study the Propagation and damping properties of Alfvén gravity waves in the presence of the vertical magnetic field in the viscous solar plasma under influence of the background flow by deriving a fourth order dispersion relation in terms of the Doppler shifted frequency. We derive the dispersion relation under WKB and Boussinesq approximation. We study the damping of Alfvén gravity waves for the wave frequencies less than and greater than the Brunt-Väisälä frequency. We find that the Brunt-Väisälä frequency divides the frequency ranges where the weakly or strongly damped oscillations occur. The background flow exhibits a strong effect on weakly damped oscillations and a weak effect on the strongly damped oscillations. We also notice that the damping of both the strong and weakly damped oscillations depend on the Brunt-Väisälä frequency and wave number. The effect of the background flow is also being governed by the Brunt-Väisälä frequency and wave number. We also study the properties of gravity wave mode after filtering the Alfvén wave mode by minimizing the magnetic field and noticed that the background flow shows a very strong effect on the gravity wave mode.     

Simultaneous state and actuator fault estimation for satellite attitude control systems

In this paper, a new nonlinear augmented observer is proposed and applied to satellite attitude control systems. The observer can estimate system state and actuator fault simultaneously. It can enhance the performances of rapidly-varying faults estimation. Only original system matrices are adopted in the parameter design. The considered faults can be unbounded, and the proposed augmented observer can estimate a large class of faults. Systems without disturbances and the fault whose finite times derivatives are zero piecewise are initially considered, followed by a discussion of a general situation where the system is subject to disturbances and the finite times derivatives of the faults are not null but bounded. For the considered nonlinear system, convergence conditions of the observer are provided and the stability analysis is performed using Lyapunov direct method. Then a feasible algorithm is explored to compute the observer parameters using linear matrix inequalities (LMIs). Finally, the effectiveness of the proposed approach is illustrated by considering an example of a closed-loop satellite attitude control system. The simulation results show satisfactory perfor-mance in estimating states and actuator faults. It also shows that multiple faults can be estimated successfully.     

基于动态逆-滑模的高速飞行器控制器设计

吸气式高超声速飞行器巡航状态下飞行环境复杂,建模时存在非线性以及参数摄动.基于小扰动假设的传统经典控制理论难以适应当前任务对鲁棒性的要求,对此提出了一种非线性动态逆-滑模控制律改进方法.通过对吸气式高超声速飞行器模型精确反馈线性化得到解耦形式的线性方程,为速度和高度设计出动态逆控制律来抵消非线性特性,在动态逆的基础上采用滑模变结构来补偿参数摄动带来的误差.仿真结果表明,所设计的控制方法具有良好的动态性能及鲁棒性.     

带非线性支撑的转子有限元模型求解方法

用数值方法研究了非线性支撑的柔性转子系统的动学行为,提出了一种将有限元与非线性支撑结合的模型和求解方法。利用有限元法(FEM)构建转轴和转盘部分的模型,通过矩阵进行组合;利用离散元方法对包含滚动轴承和挤压油膜阻尼器(SFD)的支撑部分进行建模,此部分包含4个单元,分别为轴承内圈、外圈、SFD内圈和支撑鼠笼。有限元部分和离散元部分通过轴端节点相连,仿真过程中轴端位移传递给非线性支撑部分,支撑部分通过位移计算得到的非线性力反过来作用于有限元转子轴端部分。为了耦合求解有限元转子和非线性支撑组成的数学模型,提出了一种综合的迭代求解方法,克服传统的有限元求解方法对轴端隐性非线性支撑的求解局限性。由于转轴部分采用了Timoshenko梁单元建模,对比与简单转子模型,可以考虑陀螺力矩和轴的柔性特征,更能体现非线性支撑对振动真实影响。在建立的20个轴单元的有限元转子模型中,非线性响应更多体现在靠近非线性支撑的节点1和节点21处,响应频谱中靠近轴端的节点能体现出滚动轴承的2倍和3倍变柔振动频率。     

Numerical modeling of inhomogeneous orographic wave influence on planetary waves in the middle atmosphere

Parameterization of dynamical and thermal effects of stationary orographic gravity waves (OGWs) generated by the Earth’s surface topography is incorporated into a numerical model of general circulation of the middle and upper atmosphere. Responses of atmospheric general circulation and characteristics of planetary waves at altitudes from the troposphere up to the thermosphere to the effects of OGWs propagating from the earth surface are studied. Changes in atmospheric circulation and amplitudes of planetary waves due to variations of OGW generation and propagation in different seasons are considered. It is shown that during solstices the main OGW dynamical and heat effects occur in the middle atmosphere of winter hemispheres, where changes in planetary wave amplitudes due to OGWs may reach up to 50%. During equinoxes OGW effects are distributed more homogeneously between northern and southern hemispheres.