Block Diagram Reduction (Solved Example 1)

Control Systems: Block Diagram Reduction (Solved Example 1)
Topics discussed:
1. Solved Example based on the calculation of the overall transfer function of a control system, given in the form of Block Diagram Representation, using the Block Diagram Reduction rules.
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[@niibenedict7830]

Thanks for consistently imparting knowledge to us, I just have a little concern about the numerator of the transfer function, I think it should be G1G2G3 instead of G2G3H2

[@thevalkyriemen4442]

I think so too..

[@shiro5410]

yes I think so as well

[@deeptanuj6249]

yes @@shiro5410

[@joe_cheeramkuzhy]

yes g1g2g3 was correct, they went wrong there

[@kartavyatripathi2720]

I think there is a mistake while calculating the transfer function in the last step. It should be G1G2G3/1+H2G2G3+H1G1G2..... Please look after my answer... If I am calculating wrong please respond🙏🏻

[@clementlg68]

Just done the calculus as well and ended up finding the same as yourself

[@mjollnirboy]

You are correct...G1G2G3 it is in the Numerator

[@aftab7814]

yes you are right, i got the same too and when I saw his answer I was confused lol

[@abhinabgogoi2000]

Yup...clearing the same doubt

[@piyushsoni4100]

Yes you are correct, I did a calculation mistake. It should be G1G2G3 in the numerator in the final answer.

[@mikeclaro3526]

Thank you for this lecture. I only have one question. Shouldn't it be G1G2G3 in the numerator of the final answer and not G2G3H2? Thank you sir!

[@yeruvasupradeepreddy9050]

Same doubt bro, thankyou for asking for me too

[@kalyanachakravarthi2736]

It is G1G2G3 because the element H2 has been cancelled out once we take the lcm, maybe it was a typing mistake.

[@Worldfamousvlog1996]

Same doubt. But may be typing mistake . I was solved this question by Masons gain formula

[@minalbasindha326]

Same question.. Also.

[@debdutmajumder9939]

Yes. It will be G1G2G3 in the numerator

[@dennismanarondong1058]

Thank you for the example problem sir. But I have concern about your final answer sir. That would be G1G2G3/1+G2G3H2+G1G2H1

[@Jabu_Mandlangisa]

thats true and that is what i got when i was doing it

[@damianyawuliga6968]

true

[@musharrafsaroof3036]

Yeah man

[@seifdahy1628]

this true of course

[@avigarg7859]

Sir at 6:32 the overall function should be (G1G2G3)/(1+G2G3H2+G1G2H1)

[@ibymamaril9645]

hi can I get a copy of your solution how did you get it?

[@ambadkarvinay7026]

you are right bro..........same here.

[@kevingozochaya9458]

G1 is missing right?

[@Wehn.]

How do you still have G2 and H2 in denominator when they got cancelled out?

[@dutdut11]

@@Wehn. same question

[@ishikaghosh1028]

How simply u have explained the concept!!!! Thank y'sm♥️🥹

[@oyedejivictor1571]

6:13

[@prakashjaiswal6697]

It wasn't a mistake. It's just a way to see we all following his lessons properly! 😁😉 Surprisingly all most everyone noticed that mistake (it should be G1G2G3 in numerator)😅 Love your way of teaching sir❤😊

[@atharvashinde6398]

Thank you for this series

[@sahilumariya4873]

Thank you very much sir, I have an exam in 1 hour and this was a very good explanation.

[@PunmasterSTP]

Block diagram reduction? More like "Astounding knowledge instruction!" Thanks again for making and sharing all of these wonderful videos.

[@karimma7moud-q6k]

same doubt

[@PunmasterSTP]

@@karimma7moud-q6k I’m just curious. What was your doubt specifically?

[@swirlhydro]

thank you paul enriquez for the link! i hope you pass the pre-final exams!

[@MrXyzElectronics]

**(G1 / (1 + G1 × H1))** Where: **G1 = (G1 × G2 × G3) / (1 + G2 × G3 × H2)** And **H1 = H1 / G3** ### Step 1: Substitute the value of G1 into the main expression. Substitute **G1 = (G1 × G2 × G3) / (1 + G2 × G3 × H2)** into the main expression: (G1 / (1 + G1 × H1)) = ((G1 × G2 × G3) / (1 + G2 × G3 × H2)) / (1 + ((G1 × G2 × G3) / (1 + G2 × G3 × H2)) × (H1 / G3)) ### Step 2: Simplify the second term in the denominator. Simplify **((G1 × G2 × G3) / (1 + G2 × G3 × H2)) × (H1 / G3)**. The **G3**'s cancel out: (G1 × G2 × H1) / (1 + G2 × G3 × H2) ### Step 3: Substitute this simplified term back into the main expression. Now the expression becomes: ((G1 × G2 × G3) / (1 + G2 × G3 × H2)) / (1 + (G1 × G2 × H1) / (1 + G2 × G3 × H2)) ### Step 4: Simplify the denominator. The denominator becomes: 1 + (G1 × G2 × H1) / (1 + G2 × G3 × H2) Write **1** as **(1 + G2 × G3 × H2) / (1 + G2 × G3 × H2)**: (1 + (G2 × G3 × H2) + (G1 × G2 × H1)) / (1 + G2 × G3 × H2) ### Step 5: Substitute this back into the main expression. The expression now becomes: ((G1 × G2 × G3) / (1 + G2 × G3 × H2)) / ((1 + (G2 × G3 × H2) + (G1 × G2 × H1)) / (1 + G2 × G3 × H2)) ### Step 6: Simplify the overall fraction. Since both the numerator and denominator have the common term **(1 + G2 × G3 × H2)**, they cancel out: (G1 × G2 × G3) / ((1 + G2 × G3 × H2) + (G1 × G2 × H1)) ### Final Answer: (G1 × G2 × G3) / ((1 + G2 × G3 × H2) + (G1 × G2 × H1))

[@cricketbestforme6168]

G1G2G3/(1+H2G2G3+H1G1G2 ) SAME HERE I THINK THIS IS THE RIGHT ANSWER, SIR

[@mayankupadhyay1206]

Same here

[@John-re3tr]

Same here

[@makinsights6818]

u r correct

[@tanayghodekar6454]

Same here

[@atifsultan_mech]

An easier approach is to shift the last pick up point behind G3. And then first solve the negative feedback with H2 term and finally with H1 term. This way it is much easier to solve. Anyways the answer has G1G2G3 in numerator as everyone else pointed out.

[@lekanadenusi462]

That's Awesome!

[@JF59122]

Can I shift it to the left?

[@atifsultan_mech]

​@JF59122 yes you can! You'll then be multiplying the gain G3 with H2

[@abrokestudentsboringlife5806]

​@@atifsultan_mech Hi, will the final answer then be G1G2G3/1+G2H2+G1G2G3H1? Or did I mess up?

[@atifsultan_mech]

​@abrokestudentsboringlife5806 The numerator is correct. However, please double check the denominator

[@learninginstudentscafe7284]

Thank you

[@038_erasharma9]

Complete this playlist asap

[@rk.engineering]

Thanks for this video

[@eggxecution]

Nice I finally get it

[@kenramping]

Thank you so much!

[@learninginstudentscafe7284]

Very good style of explanation

[@farooq9861]

Final answer is G1G2G3/1+G2G3H2+G1G2H1✅✅

[@uchiha_itachi_of_anime]

after calculating myself i come in the conclusion , on 6:16 you have little mistake you see the ans is G1G2G3/1+H2G2G3+H1G1G2 and your ans has h2 instead of g3 , and i am wrong pls replay me

[@rasaqatandaalao1325]

Pls upload complete lecture. Thank and God bless u sir

[@sanskarkumar8674]

thanks Sir❤

[@vanessacatama711]

on point discussion. keep it up!

[@euniceogunleye7066]

Please why did you skip the LCM step at step 4. I don't know how to do it.

[@udoyshourov1880]

There is a problem in the last step answer should be (G1G2G33)/ (1+G2G3H2+G1G2H1)

[@miltonpassanha4504]

Correct answer is G1G2G3/ 1+ G2G3H2+G1G2H1

[@peterwilliams8911]

Sir @2:28 why is it H1/G3 and not for a negative feedback system?

[@bsah82]

sir..pls post all video

[@savindahimesh4022]

Final Answer should be G1.G2.G3/ 1+G1.G2.H1

[@charleschristianbarnacha4571]

Finally.

[@felixleong61]

Same here.

[@sreerajguptays3531]

Sir, please update the playlist with further topics

[@markoriokot3425]

Yeah, Just like all the people have pointed it out, the final transfer function in this example is not correct. It should be G1G2G3/(1 + G2G3H2 + G1G2H1). The playlist is good but advanced topics are not included.

[@BGMI_003]

The final answer will be ( C/R = G1G2G3/1+G1G2H1)

[@EngrZakiVlogs]

Sir please upload electrical machine and electrical measurement and instrumentation

[@kumarharsh3685]

Sir please upload these videos quickly we desparately need this

[@PunmasterSTP]

I'm just curious; did he upload the videos quickly enough so that you and your classmates could use them before your exams?

[@AniketAjagar]

I think it cannont be solved forever 😢

[@bollamravinder4664]

Sir..pls complete the topics...

[@AFRIN-ci8st]

Can u plzz.. Complete the full portion

[@Mystery-v5v]

There is an mistake in transfer function in this video,where in numerator in case of H2 there will be G1

[@kollunageswarrao5179]

When u will be back🤧😭

[@madhavrathod1204]

Ya Its a typing mistake. Its = G1G2G3/1+G2G3H2+G1G2H1

[@rsingh6216]

When next video of data structures will come?

[@rakshitakarnam4841]

Sir,please solve more and more examples on this topick🙏

[@Sammy2000sv]

sir when will the further lecture come.........and is there any time period for further videos as your lecture make easy to understand control engg

[@VibudaJayathilake]

Sir, how many videos are there for the full course?

[@ouukun]

Why don't you actually show the math in solving or combing the blocks. That would make this video much more helpful

[@unclejordi]

its not just him all the other channels on control system don't show the work its so annoying I had to waste so much time trying to understand how to do it dumb channels I swear

[@oreo3850]

@@unclejordi they do it on purpose to make you train on solving the right answer although here the professor made a small mistake in the final result .

[@chandupala7164]

Sir please check the answer

[@mosesp7842]

🔥👍

[@sravankumarmarri4902]

Numerator value is wrong

[@anuzravat]

*Last m it should be G1G2G3 instead of G2G3H2*

[@5minupdates]

what happnend to your voice

[@ankit_yadav11]

numerator should be g1g2g3 not any h2 in nuemertor , its a simple mistake in ur solution .

[@allhindisongs9606]

last calculation is wrong please correct

[@vseelix957]

i can not figure out how to simplify that fraction it is way to complicated

[@dhruvgarg2003]

The numerator should be g1g2g3 , be careful while making video, as your single mistake wastes out lot of time

[@DeepakKumar-lb5ku]

But I think Final ans is Wrong

[@ningdi_mac]

the answer is wrong

[@muhammadiqbalbinazizi2384]

ok

[@Lifelong1139]

In negetive feedback G/1-GH y G/1+GH???

[@PunmasterSTP]

I'm pretty sure the formula for the transfer function of a closed loop with unity negative feedback is G/(1+GH), and that for a closed loop with unity positive feedback is G/(1-GH). He discussed these formulas a fair amount in earlier videos.

[@mechanicalkiller1061]

31 December 2022 There is G1 missing in the final answer. Thank you

[@anujthakur614]

Answer is incorrect bruh "-"

[@broma7298]

mali mani sir

[@sanskarkumar6484]

thanks Sir🙏❤

[@rajsekharreddy3142]

thank you sir