The Step Response | Control Systems in Practice

This video covers a few interesting things about the step response. We’ll look at what a step response is and some of the ways it can be used to specify design requirements for closed loop control systems.

We will also look at why design requirements like rise time, overshoot, settling time, and steady state error are popular and how they are related to natural frequency and damping ratio for a second order system with no finite zeros.

Check out these other references:

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[mutalasuragemohammed]

How is Brian able to explain these concepts so succintly? Thank you, Sir.

[Oluwasedago]

Brian is always here to help. Thank you once again, you are saving many lives.

[muxallopeniot]

Brian you did an excellent job explaining the step response. Also thank you for the two links in the description.

[mayurmhaske]

I was searching the practical connection of system response so long. Really glad to see this amazing video. Thank you very much for connecting theoretical concept with practical example..!!

[elaine_chesoni]

❤So helpful! Really brings the concepts around step response together and gives some practical intuition for the math. Thank you!

[yusefalimam]

a hidden gem, thank you mathworks, and Brian!

[fonabel]

Thank you Uncle Brian. You are the bes.

[janpr]

Thanks Brian. For a second order system, you can find in one of your references (Lecture 21) that you'll introduce overshoot by choosing zeta < 1, which corresponds to having two complex conjugate poles. For zero overshoot, the poles must both be real, with the smallest rise time achieved when they are coinciding (zeta = 1, the critically damped case). What would you derive for the pole locations of a higher order system if zero overshoot (or ultimately, critical damping) was a requirement?

[melodyiscraycray]

Terrific series, Brian. A criticism on this video--you could have mentioned overdamped conditions if zeta gets too large. Good vs worn out shock absorber analogies work well conveying the idea.

[mnada]

Great Brian, there is no one explains control as you do. I wonder what circumstances produced such a product !

[yesicajuan]

Hi, thanks for the video, it's very helpful. I have a question, when you are doing the step response of the closed loop, with what parameters is the PID working (kp, ki, kd)?

[SigmaC]

I mean there could be no one who can dislike this video

[limchinchen]

Is that possible the settling time of the underdamping faster than critical damping

[ismaeltexidor]

Hello, maybe I’m mistaken. But I think you have the high pass and low pass filters flipped?

[kuldeepjayaswal]

Can anybody solve my command give different info and same values from bilevel measurment given diff value of overshoot settling time....why...which should we consider

[tbk]

Do you have the same video about frequency requirement?

[youkhang]

is it possible to have a improper function as the system ?

[abdejalilben]

plot the step response to a 10° Pls 😢😢😢