【摘要】 根据机械加工系统的动态响应，提出并将四自由度（４ＤＯＦ）机械系统传递函数φ０（ｓ）的２８个关系式简化为１２个关系式，且研制了１—４ＤＯＦ机械系统传递函数φ０（ｓ）新的简化应用软件。然后经机械系统φ０（ｓ）复合控制系统Ｗ０（ｓ）的计算机辅助设计，和计算机寻优中间参数Ｋｏｐｔ，得到了一个新的串联校正函数Ｇ（ｓ）＝ｆ［φ０（ｓ）、Ｋｏｐｔ、Ｗ０（ｓ）］。文中重点分析讨论了在人为扩大测试误差达３～３０％所得的不同的φ０（ｓ）情况下，寻优中间参数Ｋｏｐｔ范围，使Ｇ（ｓ）结果几无影响。最后以实例提出了相应的Ｇ（ｓ）的电路网络图．经过模拟仿真和数字仿真，结果表明加工跟踪调节时间由０．０６ｓ减为０．０２ｓ；机械加工振动位移量从０．３２９ｍｍ减小到０．０７μｍ，Ｇ（ｓ）也优于美国ＩＴＡＥ准则的ＰＩ校正，比其小３～４个数量级。更多还原

【Abstract】 The paper simplifies first of all 28 relations[6]to 12 relations of the transfer function of mechanical systems φ0(s)in 4 degrees of freedom (4DOF)in accordance with the dynamic response of mechanical machining systems,and then a new simplified application software of φ0(s)in 1 4DOF has been developed.Through the mechanical systems φ0(s)combined with the control systems W0(s)by computer aided design and an optimal selection of middle parameter Kopt by c inputer,a new series compensation function G(s)=f[φ0(s)、Kopt、W0(s)]is obtained.Emphasis has been put on the analysis and discussion for the optimal selection limits of middle parameter Kopt and the results of G(s)are almost not influenced under the conditions of different φ0(s)obtained by artificially expanded measure errors of 3～30%.At the same time the relevant circuit network diagrams of G(s)with a practical example have been presented. After the analog and digital simulation,the results show that the settling time ts of control systems is reduced from 0. 06see to 0.02see,and the displacement of mechanical machining vibration is reduced from 0.327mm to 0.07μm.The results also show that G(s)is more advantageous than the PI compensation of ITAE Criterion used in the United States,the displacement of vibration in 10-3～10-4 times smaller than that of PI of ITAE[11].更多还原