文档介绍：基于传递函数模型的模型简化方法研究
摘要
自动化技术高度发展的今天,需要设计、研究和控制的系统愈加复杂庞大。经典控制理论的发展,现代控制理论的崛起,状态空间方法的产生和微型计算机的广泛应用给工程技术人员设计高阶系统创造了条件。但是建造的模型阶数越来越高,维数越来越多,以至无穷,就是运用大型计算机要计算模拟这些模型的特性也存在着几乎是不能实现的困难。本文首先着重阐述了当今国内外从传递函数角度入手,简化线性定常高阶系统数学模型的几种逼近方法——Pade逼近法、时间矩逼近法、连分式逼近法、Routh逼近法和可调参数逼近法。并且通过实例论述了如何具体运用这些方法来简化高阶模型,同时评述了它们的优缺点和适用范围,接着介绍了国内外在工程实际中运用逼近法的部分情况,并以一个四阶R—C梯形网络的方框图解耦为例进一步论证了简化方法在网络模拟和计算上的重要作用。然后介绍了设计PID参数的虚拟对象的方法和可调参数逼近法。Pade降阶具有计算简单和低频逼近精度高的优点,降阶的实质是把原系统高阶传函中的低频信息提取到虚拟对象的三个参数中来以便于设计。本设计最后对连分式法进行了分析和研究,该算法在各种频域降阶法中思路较清晰、设计较简单、降阶系统与高阶系统脉冲响应之间的拟合精度较高。
关键词传递函数;Pade逼近法;Routh逼近法;PID参数降阶;连分式法;
Research of model simplification method based on transfer function model
Abstract
Right now with the high development of automantion, system that is need to be designed. researched and control es more and development of the classic control theory, the rise of modern control theory,the appearant of statespace method and the wide application of puter created condition for the egnieers and technicians to design high order system. But the order of model es higher and higher; the divention also es more and more,which even approaches infility and diffiantties which can’t be e exists even using puter to caculate and analog the characteristies of these this paper, several approaching methods-pade approaching methods time turque approaching method connection and dirision style approaching Routh approaching method,and adjustable paramenter approaching method are, emphasized according to transfer function simplified linear constant high order system method model at the same time.
Their advantages and disadvantages and the application range are elaborated. Next, some situation of the practical application of approaching methods. Are introduced, and the significance of the simplified method in web anolog and calculation is further testified with the example of a square picture of a four orders R-C the meyhod of dedigning the virtual object of PID parameter and adjustable p