Constructing TSPC Exam 2015-11-06 Nyquist Diagram
Explore the construction of the Nyquist diagram for TSPC Exam 2015-11-06 using MATLAB, including tricks, doubts, and alternative solutions. Understand the implications of the Nyquist plot with insights on extended Nyquist, Bode diagrams, root locus, and closure at infinity. Gain in-depth knowledge presented visually for better understanding.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
TSPC_Exam_2015-11-06 Nyquist diagram Matlab construction with tricks, doubts and alternatives Solution with n = 22 Rev. June 10, 2022 by M. Miccio
TSPC_Exam_2015-11-06 Nyquist by default As plotted by the command nyquist at the prompt n = 22
TSPC_Exam_2015-11-06 extended Nyquist zoomed Zoomed, after plotting by the command nyquist at the prompt Straight lines drawn by Matlab to connect the Nyquist points at infinity. They are NOT the "closure at infinity" The frequency does not change when dragging the cursor over here !
TSPC_Exam_2015-11-06 extended Nyquist zoomed Zoomed, after plotting by Sisotool
TSPC_Exam_2015-11-06 Bode diagrams n = 22 180 discontinuity jump in phase at resonance frequency The phase can/must be read modulo 360
TSPC_Exam_2015-11-06 root locus Actually plotted by Sisotool stable loop
TSPC_Exam_2015-11-06 extended Nyquist with closure at infinity Actually plotted by the script nyquist1.m n = 22 >> nyquist1(Gp) p = -11.0000 + 0.0000i 0.0000 + 6.6332i 0.0000 - 6.6332i Open loop poles P = 0 P=number of Open loop poles in rhp N = 1 N=number of clockwise encirclements Z = 1 Z = P + N = number of closed loop poles in rhp
TSPC_Exam_2015-11-06 extended Nyquist with closure at infinity Zoomed, after plotting by nyquist1.m zoomed directly on the figure default add +1 to N add 1 to N
TSPC_Exam_2015-11-06 extended Nyquist with closure at infinity Actually plotted by the script nyquistGUI.m stable loop
TSPC_Exam_2015-11-06 extended Nyquist with closure at infinity Actually plotted by www.wolframalpha.com n = 22 Number of times that the extended polar plot of GOL(j ) encircles the ( 1,0) point in the clockwise direction: N = -1 +1 = 0
