基于MATLAB的系統的時域響應分析精選

摘 要

系統的時域響應分析是衡量控制系統的重要指標。所謂控制系統的時域響應分析就是在時間域內求解系統的微分方程，然后根據繪制出來的曲線分析系統的性能和各主要參數對系統性能的影響。不過這里的響應曲線一般是指典型的響應曲線，即所謂的階躍響應和脈沖響應。求解系統典型響應的思路是首先列出微分方程組，對方程兩邊同時取拉普拉斯變換得到系統傳遞函數，然后根據繪制出來的圖形進行系統分析。

利用MATLAB提供的系統時域響應分析函數可以方便、快捷地觀察到系統的輸出是否滿足要求。經過系統仿真后得出諸如系統傳遞函數等的上升時間、調節時間、超調量和穩態誤差等參數。

此次綜合實踐所選的系統經過MATLAB軟件進行系統仿真后，得到系統的輸出函數，可以直觀的看到系統個狀態量變化情況。

關鍵詞：MATLAB軟件；系統時域響應分析；系統的響應曲線

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 錄

摘 要I

AbstractII

第1章 緒論1

1.1 概述1

1.2 時域響應分析1

1.2.1 系統響應的輸入信號1

1.2.2 根據模型獲得響應曲線1

1.3 本次綜合實踐2的意義2

第2章 MATLAB軟件簡介3

2.1 MATLAB3

2.2 MATLAB概述3

2.2.1 MATLAB軟件3

2.2.2 Matlab的優勢和特點3

第3章 系統的軟件設計思路6

3.1 典型信號的生成6

3.2 系統直流增益7

3.3 系統的固有頻率和阻尼系數7

3.4 系統零輸入響應7

3.5 典型系統傳遞函數分析8

3.6 任意給定輸入的系統時域響應

與50位技術專家面對面20年技術見證，附贈技術全景圖

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