控制系统的频域分析工具主要有:
1. Bode Plot 波德圖(頻域響應)
2.Nyquist Plot 奈氏圖(頻域穩定)
3.Nichol’s Chart 尼可圖(波德增益大小+波德相位)
■ 對數log的世界 (底為10)
●運算定理
■開迴路轉移函數 H(jω)波特圖表示法
(1)常數K


職場產業

學習

投資理財

控制系统的频域分析工具主要有:

3.Nichol’s Chart 尼可圖(波德增益大小+波德相位)

●常用log值 (實務上用EXCEL 的 log=(X) 即可求得)

■開迴路轉移函數 H(jω)波特圖表示法

波德圖是1930 年代，由Hendrik Wade Bode 在美國貝爾實驗室發

所發表的信號頻率響應分析手法。

波德圖又稱為對數頻率特性曲線圖，包含對數頻率振幅(大小圖)及對數頻率相角(相位圖)

●幅量-頻率圖 : 幅量 |H(jω)|dB =  20 log |H(jω)| = dB

●頻率間隔:用十倍頻 Decade(用 dec表示) ,或二倍頻Octave(用oct表示)

● GM (Gain Margin 增益裕度) 及 PM (Phase Margin 相位裕度)

●實數 – Real/Zero 的Phase線畫法

●複數 – Real/Zero 的Phase線畫法

【例】繪製控制系統轉移函數 G(s)的振幅-頻率圖

https://incompliancemag.com/article/basic-bode-plots-in-emc-applications/

NOTES : 內容參考自 Lecture 24 Bode Plot Hung-yi Lee

【例】控制系統轉移函數 G(s)如下

https://lpsa.swarthmore.edu/Bode/bodeDraw.html

https://www.youtube.com/watch?v=L3oqiSddtXI&t=125s

https://www.youtube.com/watch?v=yNLP1vF0Knw&t=693s

【視頻】 Effect of changing compensator gain on the gain margin

Shows how change in compensator gain has a very simple affect on the gain margin. Presents simple formulae for this effect and several illustrations. Emphasises the use of Bode diagrams for margin computation and also shows how to achieve a specified gain margin with an elementary computation. Lectures aimed at engineering undergraduates.

Margins 6 - effect of changing compensator gain on the gain margin

【視頻】Example designs changing compensator gain to achived desired phase margin

Develops the previous two videos by giving a number of worked examples showing how to achieve a desired phase margin just by changes in gain. Uses analytic methods, Bode diagrams and MATLAB tools. Lectures aimed at engineering undergraduates. Presentation focuses on understanding key prinicples, processes and problem solving rather than mathematical rigour.

Margins 8 - example designs changing compensator gain to achived desired phase margin

【視頻】電源環路補償控制器與線路之基本概念與設計 1~9 合輯

網友建議推出合輯方便連續觀看，挺有道理的，我就把此系列影片整合在一起囉！雖然放在一起應該沒人看，哈哈～ 部分口誤或是討論，建議到原先單獨影片去確認或留言討論。

[合輯] 電源環路補償控制器與線路之基本概念與設計 1~9 合輯 (僅是整合，方便連續觀看，並加大音量，沒有重錄哦！)

【自動控制】波德圖（Bode Plot）

1.占星軟體及運用  2.各種推運法(Transit / 次限 / 主限 / Solar Arc / 法達星限 / 中點占星等)

跨元探索的沙龍

Shows how change in compensator gain has a very simple affect on the gain margin. Presents simple formulae for this effect and several illustrations. Emphasises the use of Bode diagrams for margin computation and also shows how to achieve a specified gain margin with an elementary computation. 

Lectures aimed at engineering undergraduates. Presentation focuses on understanding key prinicples, processes and problem solving rather than mathematical rigour.

Develops the previous two videos by giving a number of worked examples showing how to achieve a desired phase margin just by changes in gain. Uses  analytic methods, Bode diagrams and MATLAB tools.

Lectures aimed at engineering undergraduates. Presentation focuses on understanding key prinicples, processes and problem solving rather than mathematical rigour.

Margins 8 - example designs  changing compensator gain to achived desired phase margin

網友建議推出合輯方便連續觀看，挺有道理的，我就把此系列影片整合在一起囉！雖然放在一起應該沒人看，哈哈～
部分口誤或是討論，建議到原先單獨影片去確認或留言討論。

Hi, I am a pilot of Cappadocia Voyager Balloons. All of the video you watch is from my recordings from the balloon flights over Cappadocia. I used Canon 7D, Canon Mirrorless and GoPro for recording the balloon rides. The video is in fast forward mode. The balloon rides are not this fast. During the rides you will feel its like a slow motion mode.

I highly recommend to take a balloon ride over Cappadocia. If you never been to Cappadocia, you must add it to your bucket list. Cappadocia is famous for its magnificent natural beauty and hot air balloons. Visiting Cappadocia, the land of a thousand caves, churches and underground cities, is an opportunity to step back in time and experience the Asia Minor of old. If you've never taken a flight in a hot-air-balloon, Cappadocia is one of the best places in the world to try it. Flight conditions are especially favourable here, with balloons operating most mornings throughout the year.

At Cappadocia Voyager Balloons my experienced ground crew and pilots work in harmony to provide you a safe and comfortable flight and an experience you will never forget: from your hotel pick-up, to the breakfast, the flight over the colorful valleys of this unique region, to the champagne celebration after landing.  My team includes members who speak fluent English, Portuguese and Japanese to serve you.     

Looking forward to meeting you in Cappadocia.

Best Regards,
Mehmet Halis AYDOGAN