虚轴

在H∞控制理论及应用其理论进行设计中，经常用到结论：在虚轴上定义的平方可积函数分别与在开左、右半平面解析且一致平方可积函数的相互对应关系。

In H-infinity control theory and control system design with the theory , the quadratic integration function defined on imaginary axis is often decomposed into analytic functions on right half-plane and left half-plane respectively .

特别是在Hilbert空间中，可分别用预解式在虚轴上的一致平方可积性和一致有界性刻画系统的小时滞鲁棒稳定性，并很容易得到已有的一些结论。

Specially , in Hilbert spaces , some necessary and sufficient conditions are given in terms of the uniformly square integrability and uniform boundness of the resolvent on the imaginary axis respectively .

而用虚轴平移、比例、颠倒系数变换程序计算则既迅速又精确。对ProgramsforDigitalSignalProcessing中两个快速付立叶变换程序的修正意见

Amendments to Two FFT Programs in Programs for Digital Signal Processing

基于CAD模型的虚轴机床检测系统设计

CAD Model-based Inspection System Design Using Virtual Axis Machine

基于Stewart平台虚轴机床运动学研究

Research on Kinetics of Imaginary Axle Machine Tool Based on Stewart Platform

飞行条件变化时，该对象模型P不稳定，且模型存在动态不确定性，P~（-1）含虚轴极点。

During a change of flight condition , the model P is unstable and is characterized by the dynamic uncertainty , and the P-1 contains the pole points in imaginary axis .

所谓动力系统是R-稳定的，是指其极点在以虚轴为边界的左半复平面上某个区域R中。

A dynamic system is called R - stable , if all poles of the system are located in a region R belongs to left-half complex plane .

从而，确定了该虚轴机床在空间中X、Y、Z三个方向的运动范围。

Thus , the range of movement of the imaginary axle machine tool in X , Y , Z three directions is determined in space .

基于ActiveX技术的3-TPT并联虚轴机床运动仿真

Motion Simulation of 3-TPT Virtual-axis Machine Based on ActiveX Technology

为了从理论上进一步验证虚轴机床作业空间的分析结果，运用Matlab软件对虚轴机床的作业空间进行了计算仿真。

In order to test and verify analytical result of imaginary axle machine tool on theory , matlab software is applied to simulate working space of imaginary axle machine tool .

采用LMI法虽然可直接处理奇异问题，但需另外设法控制靠近虚轴的极点。

Although the LMI method can be direct used in the singular problems , it still needs some additional treatment to control the closed-loop poles near the j ω - axis .

系统电流内环闭环传递函数中存在右半平面零点且距虚轴较近，这样造成控制系统Q值较大、调节时间加长、系统谐波补偿滞后。

Closed-loop system transfer function of inner current loop has the right half plane zero and close from the imaginary axis , so that the control system Q value is larger and the setting time is longer . It lags the system harmonic compensation time .

对于右半平面上的ρ（0<ρ<∞）级随机Dirichlet级数，它几乎必然以虚轴上每一点为其没有例外小函数的Borel点。

For certain random Dirichlet series of order ρ ( 0 < ρ < ∞) in the right half plane , almost surely every point on the imaginary axis is a Borel point with no exceptional small functions .

基于虚轴法控制的多轴同步运动系统分析

Analysis of Multi-axis Synchronized Motion Systems Based on Virtual Line-shaft Control

对虚轴刃磨机床的工作原理进行了分析。

Working principle of a virtual axis machine tool was analyzed .

虚轴和实轴合一机床的研究

The Research of Actual and Virtual Axis Combined Machine Tool

集成虚轴机床逆向工程系统设计研究

Design of integrated reverse engineering system based on virtual-axis machine

六自由度虚轴机床神经网络位置伺服控制

Position Servo Control Based on Neural Network for 6-DOF Virtual-axis Machine Tool

虚轴机床磁力研磨刀具轨迹点的空间插补

3D Space Interpolations for Magnetic Abrasive Finishing by Virtual Axis Machine Tool

因而纵轴称为虚轴。

The vertical axis is therefore called the imaginary axis .

虚轴机床加工过程的仿真研究

Simulation Study on the Manufacturing Process of Virtual - Axis Machine Tool

三自由度虚轴机床作业空间研究

Research on Working Space of Virtual Axle Machine Tool With Three Degrees of Freedom

基于虚轴机床的检测系统设计

Inspection System Design Based on Virtual Axis Machine

对虚轴机床的活动平台在空间运动时关节摆角的变化规律进行了研究。

Change regularity of joint swing angle is studied when movable platform moves in space .

通过证明虚轴上没有谱点，得到了系统的渐近稳定性。

Because the imaginary axis are in the resolvent set , the system is asymptotic stability .

一种新型三自由度虚轴坐标测量机机构的误差建模与仿真

Error Modeling and Simulation of a Novel 3-DOF Parallel Mechanism of Virtual Axes Coordinate Measure Machine

它可以绕着一个从左翼尖连到右翼尖的虚轴来完成俯或仰，这个轴就是横轴。

It can pitch nose-up or down about an imaginary line stretching from wing-tip to wing-tip & its lateral axis .

以基于并联机构的虚轴机床为测量装置主体设计逆向工程系统。

A reverse engineering system is built using virtual axis machine based on in parallel mechanism as main body of measuring device .

但是在同时附加励磁控制的情况下，快速励磁可使系统的机电模式根轨迹远离虚轴，机电模式阻尼较大；强阳性（++），积分>4分。

But eigenvalues of power system are far from imaginary axis and strong damping is obtained when fast excitation system is added .

这里介绍了虚轴机床的发展过程，提出所存在的问题，并对其进行了展望。

This paper introduces the developing procedure of the virtual machine , puts forword its disadvantages and points out its developing trendency .