Introduction to Control Theory

This is an introductory course for Control Theory that has a rigorous mathematical leaning. We are going to talk about Laplace transforms on distributions, Hardy spaces, H infinity control, Lyapunov Theorems, the Calculus of Variations, and many other control theory topics over this next year.

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[kelly]

Hi from Reddit :) I'm super looking forward to this. I've been asked to lecture a short BSc module on dynamical systems in a very light-touch way, but I'm keen to make it more rigorous and I think your series is just what I'm looking for in addition to my own studies :)

[SergejsBlakunovs]

Another great book, but more on the advanced side of things is:
"Robust and Optimal Control" By Doyle, Zhou and Glover. Apart from theory of linear systems, it covers uncertain modelling of dynamical systems, and of course uses Hardy spaces for H2 and H-∞ optimization problems. It also dives into optimal control for uncertain systems - going into so-called mu-synthesis.

In addition it does some model order reduction - which is approximating a dynamical system of high order by that of lower order. Has quite a bit of functional analysis, that I find difficult to read, let alone understand. I guess that book could be a great one for applied mathematicians that are interested in control theory, rather than for most control engineers.

[bringbringish]

Thank you! It just happened I am studying this field right now! Let's go!

[FBCDC]

Thank you! I have been wanting to study control theory. This series will help a lot.

[scose]

Exciting! YouTube needs more material on H_∞ and related topics.

[teegnas]

This is going to be an interesting semester Professor. Eagerly looking forward to it.

[thewokal]

awesome! Ill have control theory next semster so this will come handy

[asn]

I can't wait for these lectures! I've been interested in control theory for a while

[sushanthkumar]

Hoping this will be waiting to learn control theory ...love your style of teaching 😁

[edal]

3:48 how to know that F(s) resides in Hardy space? Does f(t) in L2 always implies that its F(s) is in Hardy space?

[dAntony]

Nice introduction. I’ll be starting an applied mathematics masters in January focusing on DEs/Optimization problems. The Mathematical Control Theory course they offer is the one I’m looking forward to the most!

Would you happen to have any advice on the types of math I should brush up on before I take that course later? I’m intending to come at it from a more mathematical perspective than an engineering one since my educational background is mathematics and statistics.

[Czeckie]

subscribed, gonna attend the class, sounds like fun! Is this purely a youtube project, or are your real students on a real university taking part somehow?

[JamesTJoseph]

3:03 There's a problem with the diagram.

[lemonflavouredtnt]

I saw the Star Wars Funko Pop! Favourite Jedi and Favourite Sith?

[TriThom]

What is your opinion on engineering based introduction to control theory classes? Something like a course that takes a lot from a book like Control Systems Engineering by Norman Nise.

Where is your course similar to something like this and where is it different?

[benboor]

Can you cover hybrid systems XOR cyber physical systems?

[THeMin]

Hi, this really seems interesting. I passed out from an electronics and comms systems engg degree couple years back and then got into CS. This takes me back. But i feel I am out of some of the basic fundamentals. If you had to suggest one book to get back into this for a deep dive at my own pace which one would you recommend.

[creativegoods]

Hi from reddit, please do Model predictive control.

[Dr_LK]

I disagree with your definition of controller. A system can be on its own, open or closed loop. A controller is an extra block that feeds the error signal (comparison of input-output) as input to the system block.

[Tannzrz]

I just passed a steaming pile of garbage of a course titled "Linear Control Systems". I hope this series will offset my previous disappointment.

Nyquist is my weakness.