基于EKF的水下LD通信精对准控制算法

高速激光通信中接收机与光斑中心很难处于精对准状态,导致水下光通信链路难以稳定建立.首先采用蒙特卡洛仿真统计法分析激光光子在海水中传输的接收光强分布规律,再通过实验对接收端的光斑图像进行采样分析,利用曲线拟合得到接收器位置与接收光强的关系.仿真与实验结果表明:光束经过25 m的水下传输,接收光强分布仍近似为高斯分布.采用非线性估计算法(扩展卡尔曼滤波)与基本状态控制反馈理论,根据接收光强度估计接收器当前位置与最大光强处的距离,通过反馈算法实现接收端与光斑中心的主动跟踪对准.算法仿真结果显示,接收端对准误差在2 mm以下,稳定后接收效率超过98%.     

一类金融混沌系统的线性控制模型

针对一类金融混沌系统,建立存款利率线性控制模型、投资需求线性控制模型和综合线性控制模型,运用线性反馈控制的方法调整导致系统产生混沌的参数组合,实现对系统稳定性的有效控制.首先对控制模型进行动力学分析,从理论上分析控制模型的反馈系数的取值范围;然后通过数值模拟证明方法的可行性;最后讨论线性反馈控制对金融危机宏观调控的实际意义.     

FEEDBACK CONTROL OPTIMIZATION FOR SEISMICALLY EXCITED BUILDINGS

A feedback control optimization method of partially observable linear structures via stationary response is proposed and analyzed with linear building structures equipped with control devices and sensors. First, the partially observable control problem of the structure under horizontal ground acceleration excitation is converted into a completely observable control problem. Then the It6 stochastic differential equations of the system are derived based on the stochastic averaging method for quasi-integrable Hamiltonian systems and the stationary solution to the Fokker-Plank-Kolmogorov （FPK） equation associated with the It6 equations is obtained. The performance index in terms of the mean system energy and mean square control force is established and the optimal control force is obtained by minimizing the performance index. Finally, the numerical results for a three-story building structure model under E1 Centro, Hachinohe, Northridge and Kobe earthquake excitations are given to illustrate the application and the effectiveness of the proposed method.     

对带状态和输入延迟系统通过动态输出反馈实施H_∞控制（英文）

本文讲述对状态和输入延迟的连续时间线性系统的一种新的控制方法,这种控制方法是通过动态输出反馈控制器实现的.基于延迟分割技术,用矩阵不等式得出闭环系统的稳定化标准.这种稳定化方法拥有一个特定的单调性质,从而得出线性迭代收敛的计算算法.本文用一个例子来说明所阐述的方法的有效性.     

On decentralized stabilization of linear large scale systems with symmetric circulant structure

The decentralized stabilization of continuous and discrete linear large scale systems with symmetric circulant structure was studied. A few sufficient conditions on decentralized stabilization of such systems were proposed. For the continuous systems, by introducing a concept called the magnitude of interconnected structure, a very important property that the decentralized stabilization of such systems is fully determined by the structure of each isolated subsystem that is obtained when the magnitude of interconnected structure of the overall system is given. So the decentralized stabilization of such systems can be got by only appropriately designing or modifying the structure of each isolated subsystem, no matter how complicated the interconnected structure of the overall system is. A algorithm for obtaining decentralized state feedback to stabilize the overall system is given. The discrete systems were also discussed. The results show that there is a great dfference on decentralized stabilization between continuous case and discrete case.     

色谱分析取样定量装置

本发明公开了一种色谱分析取样定量装置,包括:量筒、活塞、接头、基准板,锁固在所述量筒上并向量筒两侧延伸,形成延伸部;两杆架两侧各一地支撑于所述延伸部并向量筒尾端延伸出预定长度;定位板连接于杆架尾端,并与量筒轴线垂直,从而在量筒尾端预定距离处构成限制活塞伸出长度的约束结构。     

基于热泳的气相合成纳米颗粒多场联合测量

在气相燃烧合成纳米颗粒过程中,温度分布对化学反应、颗粒的团聚和烧结有重要作用;速度分布对前驱体和颗粒的输运、颗粒的温度经历效应和停留时间有不可忽视的影响。为了研究纳米颗粒在火焰中形成和演变的过程以及化学反应和颗粒运动所依赖的温度分布、速度分布,本文在传统热泳取样的基础上提出了一种新的热泳取样-电镜分析方法。该方法在火焰内部同一测点采用热电偶测温和两次时间间隔不同的热泳取样,通过电子显微镜对样品的颗粒沉积状态进行统计和分析,能够得到火焰的温度分布、流动速度分布、颗粒体积分数和颗粒尺度分布。     

金融系统数学模型的机理分析与控制

基于金融系统数学模型的基本知识,讨论了模型的稳定性、耗散性等,同时进行机理分析;通过对参数和初值的取值,讨论了模型的线性、加速、双周期函数的反馈控制.数值模拟证实其有效性.     

EXACT EVALUATIONS OF FINITE TRIGONOMETRIC SUMS BY SAMPLING THEOREMS

We use the sampling representations associated with Sturm-Liouville difference operators to derive generalized integral-valued trigonometric sums. This extends the known results where zeros of Chebyshev polynomials of the first kind are involved to the use of the eigenvalues of difference operators, which leads to new identities. In these identities Bernoulli’s numbers play a role similar to that of Euler’s in the old ones. Our technique differs from that of Byrne-Smith (1997) and Berndt-Yeap (2002).