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一种适用于传递函数模型离散化的M-函数设计

The Design of A M-function Applying to Transfer Function Model Discretization
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摘要 针对单输入单输出线性时不变连续系统传递函数模型离散化问题,提出了一种独立于MATLAB控制系统工具箱c2d函数的M-函数设计方法.根据各种常用离散化转换方法的定义及其数学算式,在适当处理传递函数模型中纯滞后部分的基础上,着重运用MATLAB软件的符号计算工具箱函数,编写了具有多分支主控程序结构的实用M-函数离散化程序.最后通过一个具有代表性的算例,验证了该M-函数程序的正确性和有效性,可借以提高设计结果的准确性和置信度. For the discretization of transfer function model of SISO-LTI continuous systems, the design method is proposed about a M-function which is independent of the C2D function of MATLAB control system Toolbox. According to the definition and mathematical formulas of a variety of common discretization methods, the practical discretization program of the M-function with muhi-branch master control structure is coded mostly by the symbolic Toolbox functions of MATLAB software and properly based on preconditioning the time delay part of the transfer function model. Finally, the correctness and validity of the M-function is verified by a typical example which thereby can improve the accuracy and confidence relating to the designing results.
作者 尹湛华
出处 《韶关学院学报》 2017年第6期4-10,共7页 Journal of Shaoguan University
关键词 传递函数模型 离散化方法 MATLAB 程序设计 transfer function model discretization methods MATLAB program designing
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