TIME PRECISE INTEGRATION METHOD FOR CONSTRAINED NONLINEAR CONTROL SYSTEM

For the constrained nonlinear optimal control problem, by taking the first term of Taylor series, the dynamic equation is linearized. Thus by, introducing into the dual variable (Lagrange multiplier vector), the dynamic equation can be transformed into Hamilton system from Lagrange system on the basis of the original variable. Under the whole state, the problem discussed can be described from a new view, and the equation can be precisely solved by, the time precise integration method established in linear dynamic system. A numerical example shows the effectiveness of the method.

TIME-SPACE CONCEPT FOR PRECISION MEASUREMENT

The transformation between time and space is discussed. To improve real-time response speed of intelligent measuring system, the concept of exchanging program execution time with more circuitry is presented working in cycle mode. Displacement measuring by magnification is achieved with period measurement by magnification. To change the condition that traditional precision measurement depends on machining precision greatly, the concept of measuring space with time and theory of time-space coordinate transformation are proposed. Guided by the idea of measuring space with time, differential frequency measurement system and time grating displacement sensor are developed based on the proposed novel methods. And high-precision measurement is achieved without high-precision manufacture, which embeds the remarkable characteristics of low cost but high precision to the devices. Experiment and test results conform the validity of the proposed time-space concept.

Constructions and Applied Examinations of a Kind of Square-Conservative Schemes in High Precision in the Time Direction

In order to meet the needs of work in numerical weather forecast and in numerical simulations for climate change and ocean current, a kind of difference scheme in high precision in the time direction developed from the completely square-conservative difference scheme in explicit way is built by means of the Taylor expansion. A numerical test with 4-wave Rossby-Haurwitz waves on them and an application of them on the monthly mean current the of South China Sea are carried out, from which, it is found that not only do the new schemes have high harmony and approximate precision but also can the time step of the schemes be lengthened and can much computational time be saved. Therefore, they are worth generalizing and applying.

The Real-Time,High Precision Phase Difference Measurement of Electron Density in HL-2A Tokamak

This paper introduces a real-time high precision measurement of phase difference based on Field Programmable Gate Array（FPGA） technology,which has been successfully applied to laser grating interference measurement and real-time feedback of plasma electron density in HL-2A tokamak.It can track the changes of electron density while setting the starting point of the density curve to zero.In a laboratory test,the measuring accuracy of phase difference is less than 0.1°,the time resolution is 80 ns,and the feedback delay is 180 μs.

PRECISE INTEGRATION METHOD FOR LQG OPTIMAL MEASUREMENT FEEDBACK CONTROL PROBLEM

By using the precise integration method, the numerical solution of linear quadratic Gaussian (LQG) optimal control problem was discussed. Based on the separation principle, the LQG central problem decomposes, or separates, into an optimal state-feedback control problem and an optimal state estimation problem. That is the off-line solution of two sets of Riccati differential equations and the on-line integration solution of the state vector from a set of time-variant differential equations. The present algorithms are not only appropriate to solve the two-point boundary-value problem and the corresponding Riccati differential equation, but also can be used to solve the estimated state from the time-variant differential equations. The high precision of precise integration is of advantage for the control and estimation. Numerical examples demonstrate the high precision and effectiveness of the algorithm.

New research trends on high-precision time transfer technology

High-precision time transfer plays an important role in the areas of fundamental research and applications. Accompanying w ith the remarkable improvements in the ability of generating and measuring high-accuracy time-frequency signal,seeking for new time-transfer techniques betw een distant clocks w ith much further improved accuracy attracts attentions w orld-w idely. The time-transfer technique based on optical pulses has the highest precision presently,and the further improvement in the accuracy is heavily dependent on the time-domain properties of the pulse as w ell as the sensitivity of the applied measurement on the exchanged pulse. The application of optical frequency comb in time transfer for a precision up to femtosecond level are currently the focus of much interest,and has recently achieved many breakthroughs. Further investigations show that,utilizing quantum techniques,i.e. quantum measurement technique and quantum optical pulse source,can lead to a new limit on the measured timing information. Furthermore,it can be immune from atmospheric parameters,such as pressure,temperature,humidity and so on.Such quantum improvements on time-transfer have a bright prospect in the future applications requiring extremely high-accuracy timing and ranging. The potential achievements w ill form a technical basis for the future realization of sub-femtosecond time transfer system.

Application of Hilbert-Huang transform based delay time identification in optimization of short millisecond blasting

The accurate identification of delay time in millisecond blasting plays an important role in the optimization of blasting design and reduction of vibration effect. Through a case study of a surge shaft blasting project, the capability of the EMD （empirical mode decomposition） method in identifying the delay time of short millisecond blasting with precise initiation was compared with the instantaneous energy method based on Hilbert-Huang transform （HHT）. The recognition rate of the EMD method was more than 80%, while the instantaneous energy method was less than 25%. By analyzing the instantaneous energy of single-hole blasting signal, it was found that the instantaneous energy method was adaptable to millisecond blasting with delay time longer than half of the energy peak period. The EMD method was used to identify delay time of millisecond blasting in Zijinshan open-pit mine. According to the identification results, the blasting parameters were optimized for controlling the blast-induced vibration and reducing the large block ratio. The field data showed that the velocity peak of ground vibration was reduced by more than 30%under almost the same maximum charge per delay by the optimization of delay time and detonating detonators. Combining with slag-remaining blasting and burden optimization of the first row, the large block ratio was reduced to less than 3%. The research results proved that the identification method based on HHT was feasible to optimize the blasting design. The identification method is also of certain reference value for design optimization of other similar blasting projects.

“地时”(Earthtime)研究计划:“深时”(Deep Time)记录的定年精度与时间分辨率

地质年代的精度、准确度和分辨率的水平决定了人们在多大程度上可以回答一些关于"深时"的生态、气候、生物演化和基础地质问题。目前用于定年和对比的技术主要包括放射性同位素年代学、生物地层学、磁性地层学和旋回地层学等,但各有优缺点,甚至有时不同定年系统所获得的结果存在一些矛盾。"地时"(Earhtime)研究计划就是要开展广泛的国际合作,通过整合、校正和提高地质年代学和定量地层学方法,发展出一套新的地质年代学技术,使地质年代的误差达到0.1%的水平,实现精确确定地球历史的时间及先后顺序。中国东北松辽盆地发育连续、完整的白垩系为开展高分辨率年代学研究提供了机遇,将是对"地时"研究计划在中生代陆相地层中应用的良好补充和重要贡献。

双因子显式二阶积分法

研究了一类超收敛的显式二阶积分方法。该方法从哈密顿体系动力相场出发,利用二阶泰勒展开式,构造了动力时程分析迭代算法的基本格式。采用高斯积分处理在迭代步内荷载项的积分,并引入超收敛因子α和β来提高算法的收敛步长和计算稳定性。该方法避免了整体刚度矩阵的求逆和相乘,因此不需要进行整体刚度矩阵的组集,是一种快速的新型动力显式积分法。引入超收敛因子后,该算法可大幅提高收敛步长,可在理论时间步长下稳定收敛。数值算例表明:双因子超收敛显式二阶积分法比传统精细积分法具有更高算法稳定性和精度;在合适分析步长下可与常用积分算法保持一致的精度和稳定性,且随着分析步长的增大具有更好的精度稳定性。

实时3D声呐系统在海缆维护治理施工中的应用

海底管道电缆在长期运行过程中,受到冲刷和人为活动的影响,需要加强防护治理,否则将严重影响海上生产平稳运行。作为全球分辨率最高的实时3D声呐系统,可利用相控阵技术在施工过程中提供水下的实时情况信息,将其应用于海缆维护治理施工监测中,可实现可视化和精确化指导施工,有助于提高作业效率,降低作业风险,提升工程质量。

基于FPGA的高精度时间数字转换器设计与实现

高精度时间间隔测量是激光测距、雷达、示波器等多种科学和工程领域中的关键技术。为了提高测量的精确度,使用FPGA器件抽头延迟链实现高精度时间数字转换器(TDC),通过脉冲计数法和抽头延迟线法实现完整时钟周期和非完整时钟周期的测量,并提出一种使用锁相环(PLL)动态调相功能测量延迟链精度的方法,PLL调相精度为15.625 ps,通过多级延迟链级联取平均值的方式减小PLL调相精度引入的测量误差,最小测量误差为0.3125 ps。以紫光同创Logos2系列FPGA芯片实现TDC的设计,仿真验证和板级测试结果证明,使用50级延迟链能实现非完整时钟周期的测量,测量精度为71 ps,TDC时间间隔测量范围小于4.2950 ms。

Application of Monte Carlo method in rudder control precision

After the trajectory simulation model of rudder control rocket with six degrees of freedom is established by Matlab/ Simulink, the simulated targeting of rudder control rocket with rudder angle error and starting control moment error is carried out respectively by means of Monte Carlo method and the distribution of impact points of rudder control rocket is counted from all the successful subsamples. In the case of adding interference errors associated with rudder angle error and starting time error, the simulation analysis of impact point dispersion is done and its lateral and longitudinal correction abilities at different targeting angles are simulated to identify the effects of these factors on characteristics and control precision of the rudder control rocket, which provides the relevant reference for high-precision design of rudder control system.

高精度钻机自动布孔在石灰石矿山中的应用

为提升钻孔爆破的智能化水平,降低人员工作强度,提高钻孔质量,矿山以现有的阿特拉斯科普柯D45露天潜孔钻机为目标进行改造,通过在钻机上安装高精度定位系统、倾角仪、深度检测传感器和车载智能终端等设备,建立精准数学模型,结合布孔设计软件、数字采矿软件,融合智能管控平台,实现露天矿钻机钻孔的自动化和无人化。

Infinitesimal dividing modeling method for dual suppliers inventory model with random lead times

As one of the basic inventory cost models, the （Q, τ）inventory cost model of dual suppliers with random procurement lead time is mostly formulated by using the concepts of ＂effective lead time＂ and ＂lead time demand＂, which may lead to an imprecise inventory cost. Through the real-time statistic of the inventory quantities, this paper considers the precise （Q, τ） inventory cost model of dual supplier procurement by using an infinitesimal dividing method. The traditional modeling method of the inventory cost for dual supplier procurement includes complex procedures. To reduce the complexity effectively, the presented method investigates the statistics properties in real-time of the inventory quantities with the application of the infinitesimal dividing method. It is proved that the optimal holding and shortage costs of dual supplier procurement are less than those of single supplier procurement respectively. With the assumption that both suppliers have the same distribution of lead times, the convexity of the cost function per unit time is proved. So the optimal solution can be easily obtained by applying the classical convex optimization methods. The numerical examples are given to verify the main conclusions.

Effect and satisfaction of outpatient services by precision valuation reservation registration

BACKGROUND Due to improvements in living standards,people are now paying more attention to their health.In China,more patients choose to go to large or well-known hospitals,which leads to constant crowding of outpatient clinics in these hospitals.AIM To establish precision valuation reservation registration aimed at shortening waiting time,improving patient experience and promoting the satisfaction of outpatients and medical staff.METHODS On the basis of the implementation of a conventional appointment system,more reasonable time intervals were set for different doctors by evaluating the actual capacity of each doctor to receive patients,and appointment times were made more accurate through intervention.The change in consultation waiting time of patients was then compared.Correlations between the consultation waiting time of patients and the satisfaction of patients or satisfaction of medical staff were analyzed.RESULTS After precision valuation reservation registration,the average consultation waiting time of patients reduced from 18.47 min to 10.11 min(t=8.90,P<0.001).The satisfaction score of patients increased from 91.33 to 96.27(t=-8.62,P<0.001),and the satisfaction score of medical staff increased from 90.51 to 96.04(t=-10.50,P<0.001).The consultation waiting time of patients was negatively correlated with their satisfaction scores(γ=-0.89,P<0.001).The consultation waiting time of patients was also negatively correlated with medical staff satisfaction scores(γ=-0.96,P<0.001).CONCLUSION Precision valuation reservation registration significantly shortened outpatient waiting times and improve the satisfaction of not only patients but also medical staff.This approach played an important role in improving outpatient services,provided a model that is supported by relevant evidence and could continuously improve the quality of management.Precision valuation reservation registration is worth promoting and applying in the clinic.

Passive Localization Using Time Difference of Arrival and Frequency Difference of ArrivalWC

In order to improve the accuracy and engineering feasibility of four-Satellite localization system, the frequency difference measurement is introduced to the four-Satellite TDOA (Time Difference of Arrival) localization algorithm. The TDOA/FDOA (Frequency Difference of Arrival) localization algorithm is used to optimize the GDOP (geometric dilution of precision) of four-Satellite localization. The simulation results show that the absolute position measurement accuracy has little influence on TDOA/FDOA localization accuracy as compared with TDOA localization. Under the same conditions, TDOA/FDOA localization has better accuracy and its GDOP shows more uniform distribution in diamond configuration case. The localization accuracy of four-Satellite TDOA/FDOA is better than the localization accuracy of four-Satellite TDOA.

High order symplectic conservative perturbation method for time-varying Hamiltonian system

This paper presents a high order symplectic con- servative perturbation method for linear time-varying Hamil- tonian system. Firstly, the dynamic equation of Hamilto- nian system is gradually changed into a high order pertur- bation equation, which is solved approximately by resolv- ing the Hamiltonian coefficient matrix into a ＂major compo- nent＂ and a ＂high order small quantity＂ and using perturba- tion transformation technique, then the solution to the orig- inal equation of Hamiltonian system is determined through a series of inverse transform. Because the transfer matrix determined by the method in this paper is the product of a series of exponential matrixes, the transfer matrix is a sym- plectic matrix; furthermore, the exponential matrices can be calculated accurately by the precise time integration method, so the method presented in this paper has fine accuracy, ef- ficiency and stability. The examples show that the proposed method can also give good results even though a large time step is selected, and with the increase of the perturbation or- der, the perturbation solutions tend to exact solutions rapidly.

The spike timing precision of FitzHugh-Nagumo neuron network coupled by gap junctions

It has been proved recently that the spike timing can play an important role in information transmission, so in this paper we develop a network with N-unlt FitzHugh-Nagumo neurons coupled by gap junctions and discuss the dependence of the spike timing precision on synaptic coupling strength, the noise intensity and the size of the neuron ensemble. The calculated results show that the spike timing precision decreases as the noise intensity increases; and the ensemble spike timing precision increases with coupling strength increasing. The electric synapse coupling has a more important effect on the spike timing precision than the chemical synapse coupling.

SOME LIMIT PROPERTIES OF LOCAL TIME FOR RANDOM WALK

Let X,X1,X2 be i. i. d. random variables with EX^2＋δ〈∞ （for some δ〉0）. Consider a one dimensional random walk S={Sn}n≥0, starting from S0 =0. Let ζ＊ （n）=supx∈zζ（x,n）,ζ（x,n） =#{0≤k≤n：[Sk]=x}. A strong approximation of ζ（n） by the local time for Wiener process is presented and the limsup type and liminf-type laws of iterated logarithm of the maximum local time ζ＊（n） are obtained. Furthermore,the precise asymptoties in the law of iterated logarithm of ζ＊（n） is proved.