Second Order Systems - Control Systems 2.3
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- Опубликовано: 22 май 2024
- Dealing with a control system that is a second order system adds certain complexities compared to a first order system. In this video tutorial, we learn about the mathematical form of second order systems and we briefly review how to get the transfer function for the system. We then discuss undamped, underdamped, critically damped, and over-damped systems while using some animated mechanical examples and an RLC electrical circuit to understand these concepts. Finally, using LTSpice, we model an RLC circuit with varying damping ratios and see what the actual output is like. We are definitely getting into the good stuff with control systems!
This video tutorial is based on the excellent written tutorial that Kushal created and we highly recommend you go check it out to get to more in-depth information and a more rigorously mathematical approach. His tutorial is found here:
www.circuitbread.com/tutorial...
Table of Contents:
0:00 Introduction
0:16 Second Order Systems and their Standard Form
3:36 Damping Ratio and its Effect
10:35 RLC Circuit Transfer Function
16:10 RLC Circuit with Different Damping Ratios
19:10 Summary
20:32 Have you seen everything that CircuitBread.com offers?
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Dealing with Second Order Systems is FUN!
Nice Video
a little bit of correction: the greek letter you used in the beginning is "xi" (ξ) , while "zeta" has a simpler curved shape (ζ)
keep up the good work
Thank you! Admittedly, with my handwriting, those two will likely look the exact same.
From what I see, the damping ratio directly correlates to the speed/response time at which the system hits the desired value. Are there other ways to decrease the rise-time? Very nicely explained tho!
Thanks! I think if you look at what makes up the damping ratio, you can see exactly what variables can effect the speed/response time. Just find out what makes up the damping ratio in your system and then you can see what to tweak it!
8:02 that was a perfect "boop" it actually sounded digital 🤣
😂 I had to watch it a couple times, that is too funny! I had not heard it like that when reviewing it.
I am very sorry but the sound the marker makes when it gets into contact with the paper is very very discomforting and distracting.
Modern day equivalent of fingernails on a chalkboard? Interesting... maybe it's because the marker was getting too dry.
@@CircuitBread You could say that for an equivalent, it just made my teeth feel funny especially the incisors. I hope it doesn't sound petty to complain about that.
@@ngonidzashemwanjira208 add lofi in the background
@@CircuitBread e÷@@ß