Mathematical Modeling of Physical Systems | Control Systems 1.2

Control system theory is important but the mathematical modeling of physical systems is the first step in quantifying systems into something truly controllable. This second entry in our control systems tutorials where we move from theory to, eventually, being able to create control systems that both describe something and allow you to tweak it so the outputs react the way you want. This video tutorial is quite high level and, as mentioned in the video a couple times, it is highly recommended that you read through Kushal's written tutorial at least once. His amazing written tutorial for this is found here:

Table of Contents:
0:00 Introduction
1:11 Linear Time Invariant Systems
3:03 Modeling a series RLC Circuit
7:12 Comparing electrical and mechanical systems
14:23 Don't get lost in the math
15:45 The toast will never pop up

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[rathnammaha]

Very nicely explained, excellent work

[zetaconvex]

Appreciated. Please keep making these videos.

[josecarlosserralwigge]

Excellent videos. I like very much the way you explain the ideas. Regards form Spain

[lucascruz]

4:41 You may have forgotten a "t" in the 2nd order derivative on the left. I need to finish the video yet, it seems great.