MIDACO on MINLP space applications

A numerical study on two challenging mixed-integer non-linear programming (MINLP) space applications and their optimization with MIDACO, a recently developed general purpose optimization software, is presented. These applications are the optimal control of the ascent of a multiple-stage space launch vehicle and the space mission trajectory design from Earth to Jupiter using multiple gravity assists. Additionally, an NLP aerospace application, the optimal control of an F8 aircraft manoeuvre, is discussed and solved. In order to enhance the optimization performance of MIDACO a hybridization technique, coupling MIDACO with an SQP algorithm, is presented for two of these three applications. The numerical results show, that the applications can be solved to their best known solution (or even new best solution) in a reasonable time by the considered approach. Since using the concept of MINLP is still a novelty in the field of (aero)space engineering, the demonstrated capabilities are seen as very promising.     

Numerical modeling of propagation of breaking nonlinear acoustic-gravity waves from the lower to the upper atmosphere

Acoustic-gravity waves (AGWs) observed in the upper atmosphere may be generated near the Earth’s surface due to a variety of meteorological sources. Two-dimensional simulations of vertical propagation and breaking of nonlinear AGWs in the atmosphere are performed. Forcing near the Earth’s surface is used as the AGW source in the model. We use a numerical method based on finite-difference analogues of fundamental conservation laws for solving atmospheric hydrodynamic equations. This approach selects physically correct generalized solutions of the wave hydrodynamic equations. Numerical simulations are performed in a representative region of the Earth’s atmosphere up to altitude 500 km. Vertical profiles of temperature, density, molecular viscosity and heat conductivity were taken from the standard atmosphere model MSIS-90 for January. Calculations were made for different amplitudes and frequencies of lower boundary wave forcing. It is shown that after activating the tropospheric wave forcing, the initial pulse of AGWs may very quickly propagate to altitudes of 100 km and above and relatively slowly dissipate due to molecular viscosity and heat conduction. This may increase the role of transient nonstationary waves in effective energy transport and variations of atmospheric parameters and gas admixtures in a broad altitude range.     

椭圆轨道非线性相对运动模型的周期解与应用

在长期的航天器编队飞行中传统的基于线性相对运动模型设计编队保持轨道的方法会引起较多的燃料消耗.首先采用摄动法解析地求得了考虑二阶非线性项时椭圆轨道相对运动模型的周期性条件和周期解;然后以此周期解为参考轨道设计了基于Lyapunov稳定的PD保持控制律.仿真结果表明:基于椭圆轨道非线性相对运动模型的周期解较基于椭圆轨道线性相对运动模型的周期解,精度明显提高;以前者为参考轨道的保持控制与以后者为参考轨道的保持控制相比,燃耗明显降低.     

运载器末助推段非线性姿态控制器设计

根据单摆模型近似晃动质量推导晃动运动与姿态运动的动力学方程,基于状态相关黎卡提方程方法,综合动态逆控制方法设计了运载器末助推段非线性姿态控制器,由状态反馈实现姿态跟踪和晃动抑制。因实际中模拟晃动运动的单摆状态无法测量,引入输出多采样率技术,通过在一个采样周期内多次检测被控对象的输出估计状态,实现设计的状态反馈控制律。数...     

基于迭代容积滤波的无源跟踪算法

对无源目标跟踪问题进行了研究,给出一种只有角度和距离测量的目标跟踪算法。为提高估计的精度和数值稳定性,采用了容积滤波算法,并用基于龙贝格-马尔塔(LM)算法改进迭代容积滤波算法,以提高估计精度,算法实现了对目标的无源跟踪。仿真结果表明:迭代容积滤波算法的跟踪效果更好。     

Acceleration sensors based modal identification and active vibration control of flexible smart cantilever plate

Some flexible appendages of spacecrafts, such as solar panels, are cantilever plate structures. Thus, vibration problem is unavoidable when there is slewing maneuver or external disturbance excitation. Vibration of such cantilever plate structures includes coupled bending and torsional motion. Furthermore, the low amplitude vibration near the equilibrium point is very difficult to be quickly suppressed due to nonlinear factors of the hardware in the system, which is harmful to stability and attitude control accuracy. To solve these problems, acceleration sensor-based modal identification and active vibration control methods are presented for the first two bending and the first two torsional modes vibration of the cantilever plate. Optimal placements of three acceleration sensors and PZT patches actuators are performed to decouple the bending and torsional vibration of such cantilever plate for sensing and actuating, and identifications are achieved by experiments. A nonlinear control method is presented to suppress both high and low amplitude vibrations of flexible smart cantilever plate significantly. Experimental comparison researches are conducted by using acceleration proportional feedback and the presented nonlinear control algorithms. The experimental results demonstrate that the presented acceleration sensor-based methods can suppress the vibration of cantilever plate effectively.     

弹道导弹的自适应模糊滑模控制研究

对弹道导弹的三通道非线性模型进行了分析,为了实现三通道的解耦设计,简化控制系统结构,将通道间的耦合项和干扰项看作是单个通道的不确定项,从而将非线性模型转化为一种解耦形式.在此基础上,采用自适应模糊滑模控制方法设计了弹道导弹的推力矢量控制系统.自适应模糊滑模控制方法利用自适应模糊控制器来调节滑模控制参数,对不确定项的边界进行估计和补偿,保证了系统的跟踪误差指数地收敛到零.仿真结果表明了该控制方法的有效性.     

抑制复原图像振铃波纹的频域循环边界算法

提出了一种基于Wiener滤波的频域循环边界复原算法,并给出了有效的规整化表达式和信噪比估算方法.复原算法首先将原观测图像按反射对称的方式延拓,形成一个新的观测图像(称为延拓图像);然后,用Wiener滤波算法复原延拓图像,并取延拓图像的复原图像的主值序列作为原观测图像的复原图像.对延拓图像在频域进行复原处理时,需要使用FFT(Fast Fourier Transform)技术,将延拓图像进行周期延拓,因其结合边界在垂直方向上的梯度为零,且边界平滑满足微分条件,抑制了复原图像的振铃波纹.复原过程中,将噪声与原始图像的功率谱之比规整化为原观测图像信噪比的函数.实验结果表明,该算法对周边区域梯度变化较大的观测图像复原效果较好.      

卫星姿态测量信息的二阶非线性滤波技术研究

卫星应用任务要求卫星姿态在空间保持高精度定向 ,为此有必要研究精确的递推非线性姿态估计算法。文中针对星光 陀螺这种典型的三轴稳定卫星姿态确定系统模式 ,应用基于二阶泰勒级数近似得到的非线性滤波算法处理姿态测量信息 ,设计了二阶非线性姿态估计器的实现方案。在设计过程中 ,把QUEST法作为矢量观测数据压缩技术有效地结合进姿态估计器中 ,使得在多矢量观测情况下的滤波修正算法得到了简化。相同条件下的仿真测试结果证明 ,二阶非线性姿态估计器的滤波性能要优于采用扩展卡尔曼滤波技术的一阶线性姿态估计器     

一类刚柔耦合非线性系统的动力学建模

用拉格朗日方程推导了带有大型天线的地球同步轨道卫星这一特定的刚柔耦合多体系统的动力学方程。因为考虑了星本体相对轨道坐标系的三维空间姿态运动、天线支撑臂的弹性运动以及天线对低轨道用户的跟踪指向运动 ,所得的动力学方程能更为全面地反映此类卫星的刚体运动与弹性体运动之间的耦合及其真实的动力学行为。根据此方程可以推出不同情况的简化方程。当需要对原系统进行振动分析时 ,可选用相应的简化结果 ,而不必重新进行繁琐的推导。该文所介绍的方法同样适用于一般刚柔耦合系统的动力学分析