基于MATLAB的系统的时域响应分析精选

摘 要

系统的时域响应分析是衡量控制系统的重要指标。所谓控制系统的时域响应分析就是在时间域内求解系统的微分方程，然后根据绘制出来的曲线分析系统的性能和各主要参数对系统性能的影响。不过这里的响应曲线一般是指典型的响应曲线，即所谓的阶跃响应和脉冲响应。求解系统典型响应的思路是首先列出微分方程组，对方程两边同时取拉普拉斯变换得到系统传递函数，然后根据绘制出来的图形进行系统分析。

利用MATLAB提供的系统时域响应分析函数可以方便、快捷地观察到系统的输出是否满足要求。经过系统仿真后得出诸如系统传递函数等的上升时间、调节时间、超调量和稳态误差等参数。

此次综合实践所选的系统经过MATLAB软件进行系统仿真后，得到系统的输出函数，可以直观的看到系统个状态量变化情况。

关键词：MATLAB软件；系统时域响应分析；系统的响应曲线

Abstract

The system time domain response analysis is an important indicator to measure control system. The so-called control system is the time-domain response of the system in time domain for solving differential equations, and then draw out the performance curve analysis system and the main parameters on system performance. But here, generally refers to a typical response curve of the response curve, the so-called step response and pulse response. A typical response to the idea of solving the system is listed first differential equations, both sides of the equation at the same time taking the Laplace transform of the system transfer function, and then draw out a systematic analysis of the graphic.

MATLAB provides a system using time domain response analysis function can be quickly and easily observe whether the output of the system to meet the requirements. After the system obtained after simulation of the system transfer function, etc., such as rise time, adjusting time, overshoot and steady-state error and other parameters.

The practice of the selected system is an integrated MATLAB system simulation software, got the system output function, you can see visual changes in the amount of system-state.

Keywords: MATLAB software; the system time domain response analysis; system response curves

目 录

摘 要I

AbstractII

第1章 绪论1

1.1 概述1

1.2 时域响应分析1

1.2.1 系统响应的输入信号1

1.2.2 根据模型获得响应曲线1

1.3 本次综合实践2的意义2

第2章 MATLAB软件简介3

2.1 MATLAB3

2.2 MATLAB概述3

2.2.1 MATLAB软件3

2.2.2 Matlab的优势和特点3

第3章 系统的软件设计思路6

3.1 典型信号的生成6

3.2 系统直流增益7

3.3 系统的固有频率和阻尼系数7

3.4 系统零输入响应7

3.5 典型系统传递函数分析8

3.6 任意给定输入的系统时域响应