Stability of Systems | Nonlinear Control Systems
ฝัง
- เผยแพร่เมื่อ 10 ก.ย. 2024
- Topics covered:
00:19 Stability of Linear Systems
01:16 Stability of Non-Linear Systems
01:49 Van Der Pol equation
04:06 Equilibrium points and stability
07:25 Lyapunov’s Stability
17:24 Asymptotic Stability
18:58 Quasi-Asymptotic Stablility
Urgent help please
How can I tune my nonlinear controller constants? The error coefficients!!!
Please help!
Thanks
Um... I don't even know what system you are referencing to. I suggest you to check out research papers to get a better understanding :)
@@Topperly suppose the following system:
dotx1=x2
dotx2=a x2 + b x3
dotx3=u - c x3 + i w cosx1 - i w sin x2
I have designed the u using backstopping as
u= - dot i w cosx1 + (A+ k1 i w sinx1)e1 + (B + k2 i w sinx2)e2 + (D+ k3) e3
All the constants are know except for the k1, k2 and k3.
e1 = x1 - 0.3
e2=x2
e3=x3.
Thank you for your time and support 🙏
Hmm... I don't think I am qualified to answer your question. There are still some topics in Nonlinear controllers which I am yet to go through again. Meanwhile if there is someone who can help you in answering this question, kindly avail the same. I have also pinned your comment so that someone else who see this can help you here. :)
How I usually approach nonlinear systems is to linearize the system and then use LQR approach to tune it.
You're a life saver! I've been having trouble understanding the textbooks. Thank you! Now it remains actual examples...let me keep watching
Great to hear! :)
Very good.... Sir aapko bilkul andaaza nahhi hay k aappnay meri kitni bari tension ko reduce kar dia hay.... Kal tak mujhe non linear k baraay m kuch b ilm nahi tha... Aj Alhamdolillah mujhe bht sy concepts k baaray main maloom hay... Thank you thank you thank you sooooooooooo much❤❤❤❤❤❤❤❤❤❤
non linear control is very difficult compared to other areas ..but your lectures make it simple...great ...please do more..on adaptive control also ..
Your appreciation means a lot to us. Thank you:)
PS : Adaptive Control is part of our future expansion plans.
grate teacher,
Nice teaching skill, I understood Lyapunov's stability in the first attempt only.
and one more question in which software u make this video?
Thank you.
Thank you for your appreciation!
I use Camtasia and Autodesk Sketchbook
There is a little mistake at 09:14. An autonomous system has time-constant dynamics. What you meant is a homogenous system (0 exogenous inputs).
Sorry, I accidently missed the mistake during editing. Glad you pointed it out :)
MASTERPIECE!!
Thank you :)
Thanks
U'r doing a great job , go onn
Thank you for your kind words! We really appreciate it :)
Thank a lot for the wonderful video. I was wondering if in future you can restate the Lyapunov theorem in terms of comparison functions (class K, class KL functions) that would be very helpful.
Glad that you found the video useful. Yes, we'll try to do that :)
Good teaching skill m happy to watch thank u
@@anupam8582 ka ho mishra ji
Yeha bhi aap hai
@@anupam8582 khub padhai ho rhi
Such clear explanation! Thank you.
Glad that the video was helpful to you :)
Sir , in simple word what is stability of neural network??
Nueral Network?
@@Topperlythis topic is also in neural networks