Uploaded March 2022 | Updated September 2026, 10 hours ago
Bode plots, Bode's sensitivity integral, and H infinity control are all tied together in this video, where we present one of the most important tools in control theory, Bode plots. Then we set up our next big objective, which is to examine the H infinity or model matching problem.
//Additional Reading
From Vector Spaces to Function Spaces - Yutaka Yamamoto amzn.to/3sU2CVj
Feedback Control Theory - Doyle, Francis, Tannenbaum amzn.to/3HFvuov
//Exercises
//Watch Next
The Pailey Wiener Space and Nyquist Sampling Theorem youtu.be/jcY5Tq1JsVc
The Pailey Wiener Theorem youtu.be/m4b6rAa-Da4
The Analyticity of the Laplace transform youtu.be/FIMkbFQL6XM
Undergraduate Intro to the Laplace Transform youtu.be/mJSqt7nchRQ
A Mature Look at the Laplace transform youtu.be/F-xS27UfF30
Introduction to Control Theory youtu.be/0v4WFmOm764
//Music Provided by Epidemic Sound
Dismantle - Peter Sandberg
Ghosting - Christopher Moe Ditlevsen
Uncomplicated - Brendon Moeller
Clouds and Rainbows - Giants' Nest
Video Call from Los Angeles - Trevor Kowalski
Glitterati - Fox Morrow
Uncomplicated - Brendon Moeller
Use this referral link to get a 30 day free trial with Epidemic Sound for your YouTube channel:
epidemicsound.com/referral/644nao
//Books
Nonlinear Systems - Khalil amzn.to/32Zyk8E
Functions of One Complex Variable - Conway amzn.to/3M0snu6
Real and Complex Analysis - Rudin amzn.to/3riipvZ
Real Analysis - Folland amzn.to/3ogVuiG
Fundamentals of Differential Equations - Nagle, Saff, and Snider amzn.to/3qeGD9C
Advanced Mathematical Analysis - Beals amzn.to/3fn2jdP
From Vector Spaces to Function Spaces - Yutaka Yamamoto amzn.to/3sU2CVj
Feedback Control Theory - Doyle, Francis, Tannenbaum amzn.to/3HFvuov
Pick Interpolation and Hilbert Function Spaces - Agler and McCarthy amzn.to/3EOJU3K
Modern Control Systems - Dorf and Bishop amzn.to/331JQAm
// MATLAB Code
bitbucket.org/joelrosenfeld/nyquist-criterion-video-figures/src/master
//Recording Equipment
Canon SL3: amzn.to/3nZ11KU
Canon T6i: amzn.to/3FUpkQh
Rode VideoMic: amzn.to/3lhldGa
Blue Yeti Microphone: amzn.to/3I1y88N
Yeti Nano Microphone: amzn.to/3I1mriA
SanDisc 256GB SD Card: amzn.to/3E3LOOr
Neewer 5600K USB LED Lights: amzn.to/3xvB9cN
Neewer 18 inch Ring Light: amzn.to/2ZvgCsc
Camera Power Adapter: amzn.to/3D3upUu
DISCLAIMER: The links above in this description may be affiliate links. If you make a purchase with the links provided I may receive a small commission, but with no additional charge to you :) Thank you for supporting my channel so that I can continue to produce mathematics content for you!
0:00 Start
0:16 Neuroscience and Bode
0:53 Vision is linear?
1:30 Sine in sine out
2:30 ssVEPs
3:50 Plots for Systems!
4:44 Two important Transfer Functions
5:37 Waterbeds and Sensitivity
6:59 Optimizing which metric?
8:00 A Mathematical Shopping List
8:29 The Model Matching Problem
Bode plots, Bode's sensitivity integral, and H infinity control are all tied together in this video, where we present one of the most important tools in control theory, Bode plots. Then we set up our next big objective, which is to examine the H infinity or model matching problem.
//Additional Reading
From Vector Spaces to Function Spaces - Yutaka Yamamoto amzn.to/3sU2CVj
Feedback Control Theory - Doyle, Francis, Tannenbaum amzn.to/3HFvuov
//Exercises
//Watch Next
The Pailey Wiener Space and Nyquist Sampling Theorem youtu.be/jcY5Tq1JsVc
The Pailey Wiener Theorem youtu.be/m4b6rAa-Da4
The Analyticity of the Laplace transform youtu.be/FIMkbFQL6XM
Undergraduate Intro to the Laplace Transform youtu.be/mJSqt7nchRQ
A Mature Look at the Laplace transform youtu.be/F-xS27UfF30
Introduction to Control Theory youtu.be/0v4WFmOm764
//Music Provided by Epidemic Sound
Dismantle - Peter Sandberg
Ghosting - Christopher Moe Ditlevsen
Uncomplicated - Brendon Moeller
Clouds and Rainbows - Giants' Nest
Video Call from Los Angeles - Trevor Kowalski
Glitterati - Fox Morrow
Uncomplicated - Brendon Moeller
Use this referral link to get a 30 day free trial with Epidemic Sound for your YouTube channel:
epidemicsound.com/referral/644nao
//Books
Nonlinear Systems - Khalil amzn.to/32Zyk8E
Functions of One Complex Variable - Conway amzn.to/3M0snu6
Real and Complex Analysis - Rudin amzn.to/3riipvZ
Real Analysis - Folland amzn.to/3ogVuiG
Fundamentals of Differential Equations - Nagle, Saff, and Snider amzn.to/3qeGD9C
Advanced Mathematical Analysis - Beals amzn.to/3fn2jdP
From Vector Spaces to Function Spaces - Yutaka Yamamoto amzn.to/3sU2CVj
Feedback Control Theory - Doyle, Francis, Tannenbaum amzn.to/3HFvuov
Pick Interpolation and Hilbert Function Spaces - Agler and McCarthy amzn.to/3EOJU3K
Modern Control Systems - Dorf and Bishop amzn.to/331JQAm
// MATLAB Code
bitbucket.org/joelrosenfeld/nyquist-criterion-video-figures/src/master
//Recording Equipment
Canon SL3: amzn.to/3nZ11KU
Canon T6i: amzn.to/3FUpkQh
Rode VideoMic: amzn.to/3lhldGa
Blue Yeti Microphone: amzn.to/3I1y88N
Yeti Nano Microphone: amzn.to/3I1mriA
SanDisc 256GB SD Card: amzn.to/3E3LOOr
Neewer 5600K USB LED Lights: amzn.to/3xvB9cN
Neewer 18 inch Ring Light: amzn.to/2ZvgCsc
Camera Power Adapter: amzn.to/3D3upUu
DISCLAIMER: The links above in this description may be affiliate links. If you make a purchase with the links provided I may receive a small commission, but with no additional charge to you :) Thank you for supporting my channel so that I can continue to produce mathematics content for you!
0:00 Start
0:16 Neuroscience and Bode
0:53 Vision is linear?
1:30 Sine in sine out
2:30 ssVEPs
3:50 Plots for Systems!
4:44 Two important Transfer Functions
5:37 Waterbeds and Sensitivity
6:59 Optimizing which metric?
8:00 A Mathematical Shopping List
8:29 The Model Matching Problem
