- 55
- 4 379 719
Pantelis Sopasakis
United Kingdom
Приєднався 27 сер 2013
I am a lecturer at Queen's University Belfast. Subscribe to my channel to get updates on control theory and numerical optimisation videos.
PID control of inverted pendulum
Design of a PID controller for an inverted pendulum. In this lab:
- We learn how to use sympy to compute partial derivatives and inverse Laplace transforms,
- how to use the 'control' module in Python to simulate dynamical systems using their transfer functions and
- how to design and test PID controllers.
▬ See also ▬▬▬▬▬▬▬▬▬▬▬
Modelling of inverted pendulum: ua-cam.com/video/dbQfRKk-PMg/v-deo.html
▬ Control Systems Textbook ▬▬▬
Check out my textbook on control systems at bit.ly/control-systems-book
Paperback available on Amazon:
US/International: www.amazon.com/dp/173913866X
UK: www.amazon.co.uk/dp/173913866X
Other countries:
Australia: www.amazon.com.au/dp/173913866X
Canada: www.amazon.ca/dp/173913866X
France: www.amazon.fr/dp/173913866X
Germany: www.amazon.de/dp/173913866X
Italy: www.amazon.it/dp/173913866X
Japan: www.amazon.jp/dp/173913866X
Poland: www.amazon.pl/dp/173913866X
Spain: www.amazon.es/dp/173913866X
Sweden: www.amazon.se/dp/173913866X
The Netherlands: www.amazon.nl/dp/173913866X
- We learn how to use sympy to compute partial derivatives and inverse Laplace transforms,
- how to use the 'control' module in Python to simulate dynamical systems using their transfer functions and
- how to design and test PID controllers.
▬ See also ▬▬▬▬▬▬▬▬▬▬▬
Modelling of inverted pendulum: ua-cam.com/video/dbQfRKk-PMg/v-deo.html
▬ Control Systems Textbook ▬▬▬
Check out my textbook on control systems at bit.ly/control-systems-book
Paperback available on Amazon:
US/International: www.amazon.com/dp/173913866X
UK: www.amazon.co.uk/dp/173913866X
Other countries:
Australia: www.amazon.com.au/dp/173913866X
Canada: www.amazon.ca/dp/173913866X
France: www.amazon.fr/dp/173913866X
Germany: www.amazon.de/dp/173913866X
Italy: www.amazon.it/dp/173913866X
Japan: www.amazon.jp/dp/173913866X
Poland: www.amazon.pl/dp/173913866X
Spain: www.amazon.es/dp/173913866X
Sweden: www.amazon.se/dp/173913866X
The Netherlands: www.amazon.nl/dp/173913866X
Переглядів: 702
Відео
Bzzz in altitude hold mode
Переглядів 588Рік тому
Bzzz v0.2 (github.com/QUB-ASL/bzzz) now supports altitude hold operation.
Bzzz's first flight
Переглядів 356Рік тому
Video of the very first flight of bzzz - see github.com/QUB-ASL/bzzz Team: Jamie Rainey, Chandra Mouli, Ruairi Moran, Pantelis Sopasakis
Complete example: modelling to simulations
Переглядів 920Рік тому
A complete worked example that includes: (i) modelling a dynamical system using Newton's second law of motion, (iii) characterisation of the equilibrium points, (iv) linearisation, (v) determination of the transfer function of the linearised dynamics, (vi) determination of the impulse and step response of the system. ▬ Contents ▬▬▬▬▬▬▬▬▬▬ 00:00 - Start 00:30 - Problem statement 02:40 - Modellin...
BIBO stability: poles of transfer function
Переглядів 1,7 тис.Рік тому
The position of the poles of a rational transfer function on the complex plane can determine whether its is BIBO stable. ▬ Control Systems Textbook ▬▬▬ Check out my textbook on control systems at bit.ly/control-systems-book Paperback available on Amazon: US/International: www.amazon.com/dp/173913866X UK: www.amazon.co.uk/dp/173913866X Other countries: Australia: www.amazon.com.au/dp/173913866X ...
BIBO stability: an introduction
Переглядів 761Рік тому
An introduction to BIBO stability - perhaps the most important concept in control theory. We give the definition of BIBO stability and a fundamental stability criterion for linear systems based on the impulse response. ▬ Control Systems Textbook ▬▬▬ Check out my textbook on control systems at bit.ly/control-systems-book Paperback available on Amazon: US/International: www.amazon.com/dp/17391386...
Inverse Laplace Transform - Special Cases
Переглядів 798Рік тому
Special cases of the inverse Laplace transform: - Multiple complex poles - General form of the iLT of a strictly proper rational function - Equal degrees - Rational times exponential ▬ Contents ▬▬▬▬▬▬▬▬▬▬ 00:00 - Intro 00:35 - Multiple complex poles 03:40 - General form of inverse Laplace 07:03 - Non-strictly proper rational functions 10:07 - Rational-times-exponential ▬ Info ▬▬▬▬▬▬▬▬▬▬ Music t...
Inverse Laplace Transform - Solving IVPs
Переглядів 490Рік тому
This is the last video of the series of video lectures on the inverse Laplace transform. Here we look at how we can use the inverse Laplace transform to solve initial value problems. ▬ Contents ▬▬▬▬▬▬▬▬▬▬ 00:00 - Introduction 00:29 - What is an IVP 01:51 - How to solve a (linear) IVP 02:51 - Example 03:37 - Another example 05:31 - Solution for any input u(t) 07:24 - Outro ▬ Info ▬▬▬▬▬▬▬▬▬▬ Musi...
Inverse Laplace Transform - Convolution Theorem
Переглядів 297Рік тому
The convolution of two time-domain functions, f and g, yields a new time-domain function that "looks like" both f ang g. The convolution theorem states that the Laplace transform maps convolutions in the time domain to products in the s-domain. This is an important result with several applications. ▬ Contents ▬▬▬▬▬▬▬▬▬▬ 00:00 - Introduction 01:26 - Example: t * t^2 02:02 - Example: sin(t) * t^2...
Video Lecture - Inverse Laplace Transform: a few examples
Переглядів 936Рік тому
A few additional examples on the inverse Laplace transform: in this video we solve five exercises to practice. ▬ Control Systems Textbook ▬▬▬ Check out my textbook on control systems at bit.ly/control-systems-book Paperback available on Amazon: US/International: www.amazon.com/dp/173913866X UK: www.amazon.co.uk/dp/173913866X Other countries: Australia: www.amazon.com.au/dp/173913866X Canada: ww...
Video Lecture 1 - State space representation
Переглядів 1,4 тис.Рік тому
Introduction to Dynamical Systems (State space representation and Higher order systems) ▬ Contents ▬▬▬▬▬▬▬▬▬▬ 00:00 - Introduction 02:53 - Definition of ODEs 03:35 - State space 08:09 - Exercises ▬ Control Systems Textbook ▬▬▬ Check out my textbook on control systems at bit.ly/control-systems-book Paperback available on Amazon: US/International: www.amazon.com/dp/173913866X UK: www.amazon.co.uk...
Video Lecture 18 - Transfer Functions
Переглядів 765Рік тому
A transfer function of a linear dynamical system is a simple and elegant representation of the system dynamics in the s-domain. ▬ Control Systems Textbook ▬▬▬ Check out my textbook on control systems at bit.ly/control-systems-book Paperback available on Amazon: US/International: www.amazon.com/dp/173913866X UK: www.amazon.co.uk/dp/173913866X Other countries: Australia: www.amazon.com.au/dp/1739...
First-order systems: Impulse, Step and Frequency Response
Переглядів 591Рік тому
First-order systems are linear dynamical systems with very simple transfer functions. ▬ Contents ▬▬▬▬▬▬▬▬▬▬ 02:22 - Impulse response 05:57 - Step response 11:42 - Frequency response 18:10 - Recap ▬ Control Systems Textbook ▬▬▬ Check out my textbook on control systems at bit.ly/control-systems-book Paperback available on Amazon: US/International: www.amazon.com/dp/173913866X UK: www.amazon.co.uk...
Steady State Frequency Response of BIBO stable systems
Переглядів 464Рік тому
Steady state frequency Response of BIBO stable systems and five examples in which we determine the amplitude ratio and phase lag. ▬ Control Systems Textbook ▬▬▬ Check out my textbook on control systems at bit.ly/control-systems-book Paperback available on Amazon: US/International: www.amazon.com/dp/173913866X UK: www.amazon.co.uk/dp/173913866X Other countries: Australia: www.amazon.com.au/dp/17...
Video Lecture 5 - Inverted pendulum dynamics
Переглядів 932Рік тому
In this video lecture we use Newton's laws of motion and their rotational counterparts to derive the equations of motion of the inverted pendulum. Videos of inverted pendula and their applications: 1. ua-cam.com/video/XWhGjxdug0o/v-deo.html 2. Double inv. pendulum: ua-cam.com/video/B6vr1x6KDaY/v-deo.html 3. Segway: ua-cam.com/video/pFhoplYWXT4/v-deo.html 4. Rocket landing: ua-cam.com/video/aH9J...
Video Lecture 15 - Existence of Laplace Transform
Переглядів 449Рік тому
Video Lecture 15 - Existence of Laplace Transform
Video Lecture 14 - Laplace transform of periodic functions
Переглядів 1 тис.Рік тому
Video Lecture 14 - Laplace transform of periodic functions
Video Lecture 13 - Further properties of the Laplace transform
Переглядів 1,3 тис.Рік тому
Video Lecture 13 - Further properties of the Laplace transform
Video Lecture 12 - Laplace Transforms of Functions defined Piecewise
Переглядів 32 тис.Рік тому
Video Lecture 12 - Laplace Transforms of Functions defined Piecewise
Video Lecture 10 - Linearisation in multiple variables
Переглядів 909Рік тому
Video Lecture 10 - Linearisation in multiple variables
Inverse Laplace Transform - Complex Conjugate Poles
Переглядів 571Рік тому
Inverse Laplace Transform - Complex Conjugate Poles
Inverse Laplace Transform - Multiple Real Poles
Переглядів 330Рік тому
Inverse Laplace Transform - Multiple Real Poles
Inverse Laplace Transform - Distinct Real Poles
Переглядів 267Рік тому
Inverse Laplace Transform - Distinct Real Poles
Inverse Laplace Transform - Introduction
Переглядів 285Рік тому
Inverse Laplace Transform - Introduction
Video Lecture 9 - Linearisation of dynamical systems
Переглядів 519Рік тому
Video Lecture 9 - Linearisation of dynamical systems
Video Lecture 8 - Taylor's approximation Theorem
Переглядів 464Рік тому
Video Lecture 8 - Taylor's approximation Theorem
Video Lecture 7 - Mass Balance Equations
Переглядів 337Рік тому
Video Lecture 7 - Mass Balance Equations
元ネタ初めて知ったけどラプラス変換を知って喜ぶニキとかもっとおもろくて草
俺も授業で初めて出たときすればよかった
Как же он чувствует 🥵🥵🥵
Why subtitles it's not accurate at all. He told that he didn't like the music and he thought it would be much better
Я - филолог-пушкиновед и уверяю Вас, что субтитры абсолютно точны 😁
It's kicking in it's kicking in
laplace? What is that? lol. every time is funny
What’s the original dialogue?
I would be happy solving differential equations in 2020 period so I would dance like him
I feel so bad seeing whites living like that, Russia could have done a lot more, if they would have adopted capitalism
About half a hour ago I had classes which was about Laplace transform XD
What's the track playing?
I thought he was Justin Bieber from the thumbnail
The Joy on his face
Hahahahahaha
❤😂🎉😢😮😅😊
Loads of long comments on this one. All I’m going to say is that the geezer is bear high and looks a bit like a spa*stic
Translate is not correct lmao
This is great. I get a laugh every time.
Seek the Lord while he may be found; call upon him while he is near; Isaiah 55.6 ❤🎉
" I'm really tyred of different equations" but in reality he mentions something about country music
Komplett Falsch Übersetzt
How I Met Your Mother!
Real JB
People who know russian:😂😂😂🤣🤣🤣
Who doesn't live Dmitry???
Yes!!!!
いまいちピンと来ないです 俺以外にも悪いやつはたくさんいるって言いたいのかな？
He is dancing because he has weekends off mow
Everything is fine until the beat change, the beat change oh I felt what he felt, I wish I was younger and doing this stuff still but shit I felt it lol. The hairs on your head and neck rising, that little rushey feeling. Once that starts then it is over for you or it has just began.. what ever way you want to see it lol
Jesus Christ loves you!
This is how I felt after learning L'Hopital's rule. No more super hard limits for me. Just easy derivatives.
vignette + title, I was already laughing 😆
Очень плохая музыка ❤🎉
Christ that reporter is very close to him. 😮
Totally wrong translation. He speaks about bad music
Да, НО... по сути он хочет поговорить о преобразовании Лапласа...
He looks like Jim Carrey
😂😂😂
Justin Bieber from Temu
Laplace may have been the best thing to happen in the history of math
es el chacho coudet
0:34 when the mdma kicks in 🕺
nah i want to know whats going on with him now and wishing him have a very beautiful time
Этот чувак уже вышел на международный уровень 😂
That is so funny 😂
Monte AI
Crazy man
The sound of ANJUNABEATS 🎉🎉🎉🎉 Feeling miserable to never heard such music in clubs
Dumb and Dumber
Paddy Pimblet's Russian cousin.
🐷🇷🇺
When you find your job has cliff notes😂😂😂