控制力矩陀螺磁悬浮转子的指数趋近积分滑模控制研究

针对微重力、动框架等多源扰动下磁悬浮控制力矩陀螺磁轴承转子系统的强非线性、参数摄动及未建模动态等问题,开展控制力矩陀螺的磁轴承转子鲁棒控制研究。建立了磁轴承转子轴向通道动力学模型与电磁力工作点线性化模型,分析了系统参数摄动及未建模动态,并在此基础上提出了一种非线性系统指数趋近积分滑模控制方法,设计了含有电流及位移的积分滑模平面,采用指数趋近律与饱和函数抑制抖振实现到达阶段滑模控制律。实验结果表明：采用该方法可有效抑制滑模的抖振现象,参数摄动时系统具有较佳动态性能,同时在转子转动、框架工作时保证系统良好鲁棒性。     

零陷展宽的递推实现方法

目前常用的零陷展宽算法都可以归纳到协方差矩阵锥化（CMT）的范畴,按常规计算方式,CMT法的运算量为O(M 3)。文章首先通过对CMT法中的锥化矩阵进行特征值分解,提出了一种递推实现的零陷展宽算法,将运算量降为O(JM 2) （J为锥化矩阵的秩）;将该递推方法与对角加载算法结合,大大提高了算法的鲁棒性;最后针对几种常用的锥化矩阵进行了分析,确定了Mailloux算法中虚拟干扰源的选取原则,对MZ算法的锥化矩阵进行了降秩近似,进一步降低了运算量。计算机仿真分析表明,递推CMT算法在与原算法性能相当的情况下运算速度大大提高,与对角加载算法结合后,可以以较低的运算量实现较好的稳健性。
     

Direct trajectory optimization based on a mapped Chebyshev pseudospectral method

 In view of generating optimal trajectories of Bolza problems, standard Chebyshev pseudospectral (PS) method makes the points' accumulation near the extremities and rarefaction of nodes close to the center of interval, which causes an ill-condition of differentiation matrix and an oscillation of the optimal solution. For improvement upon the difficulties, a mapped Chebyshev pseudospectral method is proposed. A conformal map is applied to Chebyshev points to move the points closer to equidistant nodes. Condition number and spectral radius of differentiation matrices from both methods are presented to show the improvement. Furthermore, the modification keeps the Chebyshev pseudospectral method's advantage, the spectral convergence rate. Based on three numerical examples, a comparison of the execution time, convergence and accuracy is presented among the standard Chebyshev pseudospectral method, other collocation methods and the proposed one. In one example, the error of results from mapped Chebyshev pseudospectral method is reduced to 5% of that from standard Chebyshev pseudospectral method.     

纳米孔材料中辐射热传递的改进——扩散近似法计算

用可燃的烧蚀材料作为主动的承热层,用不可燃的多孔材料作为被动的隔热层,是当今一次性使用航天器最普通的一种热防护形式,然而对可重复使用的航天器来说,这种防热结构显然不适用.但是如果把烧蚀层改为金属薄壁或多层金属热防护系统,在不增加很多质量的情况下,能保证航天器主结构在允许的温度范围,则可能是一种很好的设计.在此情况下,隔...     

High-precision shape approximation low-thrust trajectory optimization method satisfying bi-objective index

The shape approximation method has been proven to be rapid and practicable in resolving low-thrust trajectory; however, it still faces the challenges of large deviation from the optimal solution and inability to satisfy the specific flight time and fuel mass constraints. In this paper, a modified shape approximation low-thrust model is presented, and a novel constrained optimization algorithm is developed to solve this problem. The proposed method aims at settling the bi-objective optimization o...     

一种基于切比雪夫插值的联想记忆系统

提出了一种基于切比雪夫插值的高阶联想记忆系统(TI-AMS),能提供对任意阶多变量多项式函数的无误差逼近.切比雪夫插值的近似于最优一致逼近的性质从理论上保证了对任意连续函数的全局逼近精度.特别在对一些不连续函数(如矩形脉冲函数)的逼近中也有其它AMS无法比拟的优势.理论分析和数值模拟表明,该系统具有计算简单、学习精度高、收敛速度快、总的存储单元空间较小等优点.可广泛应用于图像压缩、模式识别、及高精度实时智能控制等领域.      

Effect of non-uniform basic temperature gradient on the onset of Marangoni convection in a fluid with suspended particles

The effect of a non-uniform basic temperature gradient on the onset of convection driven by surface tension in a horizontal layer of a Boussinesq fluid with suspended particles confined between an upper free, constant heat flux boundary and a lower rigid isothermal boundary is considered. The microrotation is assumed to vanish at the boundaries. A linear stability analysis is performed. The Rayleigh–Ritz technique is used to obtain the eigenvalues. The influence of various parameters on the onset of convection has been analyzed. Six different non-uniform basic state temperature profiles are considered and their comparative influence on onset is discussed. It is observed that the fluid layer with suspended particles heated from below is more stable compared to the classical fluid layer without suspended particles. The problem has possible applications in microgravity situations.     

L-可积函数的逼近定理

通常所说的函数逼近,或者是在C—范数拓扑下连续函数的多项式逼近,或者是在L~p—范数拓扑下L~p函数的多项式逼近,或者是在Sobolev范数(‖·‖_(H~(m,p)(Ω)))拓扑下用C~∞(Ω)(或C~∞(Ω))对于Sobolev空间H~(m,p(Ω))的逼近。而对于有界L—可积函数的多项式a·e(即几乎处处)逼近,至今未见有任何文献。本文则借助于实变函数的性质与连续函数多项式逼近的技巧来处理这一工作,而文中的主要结果(即定理1—3)正反映了这一尚未有过的工作。确切地说,本文首先利用L—可测函数的重要定理,把L—可测函数转化为连续函数,使(用多项式)a·e逼近成为可能;而后,再对连续函数将广义Jackson算子逼近的已知结果与相应技巧应用上去,得到一系列刻划逼近程度(即逼近阶)的渐近估计。     

GPS接收机中码相位测量精化方法的研究

精确的码相位测量是保证GPS接收机得到精确伪距值进而进行精确定位的一个重要前提。在已有码相位测量精化方法的基础之上提出了两种新的码相位测量精化的方法,讲述了两种方法的原理与具体实现方法,并利用蒙特卡洛方法进行了仿真实验,得到了码相位结果均值、码相位结果均值方差等一系列实验结果,对几种方法的精化效果从精确性、稳定性和跟踪性能等几个方面进行了比较分析,得出了相应的结论。与三角匹配法和二次曲线插值精化法相比,二阶最小二乘拟合精化法和广义延拓逼近精化法有明显优势;广义延拓逼近精化法的精化精度最高、跟踪精度最高,而二阶最小二乘拟合精化法的稳定性最好。