Scilab Prog : Second Order: effect of addition of zeros and poles

Note:  Students are advised to plot the result with different values and write discussions also in each case

Scilab Prog: To study of effect of addition of zeros and poles to the forward path transfer function of a closed loop system

clc;

clf;

s=%s;

T=syslin('c',1,s+1);//Transfer function of a closed loop system.

P=syslin('c',1,s+2);// A pole at s=-2.

Tf=T*P;// Addition of a pole at s=-2 to the transfer function.

t=0:0.1:10;

Y1=csim('impulse',t,Tf);

Z=syslin('c',s,1);// A zero at s=0.

Tf1=T*Z;// Addition of a zero at s=0 to the transfer function.

Y2=csim('impulse',t,Tf1);

subplot(231);

plzr(T);

subplot(232);

plzr(Tf);

subplot(233);

plzr(Tf1);

subplot(234);

title('Addition of pole at s=-2 to the tf=1/(s+1)','fontsize',3);

plot(t,Y1);

xlabel('t','fontsize',3);

ylabel('Y(t)','fontsize',3);

subplot(235);

title('Addition of zero at s=0 to the tf=1/(s+1)','fontsize',3);

plot(t,Y2);

xlabel('t','fontsize',3);

ylabel('Y(t)','fontsize',3);

Note : Students are advised to write discussion yourself i.e. what are you getting information from the plots.

Scilab Prog: Bode, Nyquist and root locus

Scilab Prog:  Bode, Nyquist and   Root locus Plot

For Practical File PDF/Docs ()

First Page:(Front Page)   

You can prepare according to you but is should have  at-least following informations

• Name: 
• Class:
• Course: 
• Sem: 
• Year of Admission
• Roll No:   College  And University

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Second Page

Index/Contents

 S.NO.                   Name of the Program                                               Page Number

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From the third Page prog.

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Aim/Prog:

Software Used:  SciLab    5.3.0

Theory:              (Brief)

Coding:            (Scilab Coding Images)

Plots:               (Scilab Plots Images)

Calculations if any:

Results:

Discussions: 

References  :  

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If any other queries  you can call  me anytime  , I will  explain and put them  on this blog.

Stay at home to protect you and your family

 with best wishes

Jitender

BCAS, Dwarka

Scilab Prog: To plot time response of a system with impulse input

Answer to query raised by a student from already given practical list  in the class  ( JAN  2020)

Plot the same for the following  TFs

1. C(s)/R(s) =   (s+1)/[s(s^2+2s+5)]
2. C(s)/R(s) =   (s^2+1)/[s(s^3+2s^2+5s+1)]

   Note: From these plots also explain either the system is stable  or not

Scilab Prog : Pole-Zero Plot (basic)

Books

Dear  Students  (Inst/Elect)

    Besides notes, I  am sending    pdf  of following two books  in your group  so that you can use                 these books as a reference book 

1.  J. Nagrath and M. Gopal  , "Control System Engineering"
2. B.C.Kuo,  "Automatic Control System"

     Wish best for you and your family

           Jitender
       BCAS, Dwarka

Video for polar plot

For Polar Plot
https://www.youtube.com/watch?v=vZVaHxicUdY

Notice

Note :

All Students   both from Electronics and Instrumentation  are  required to submit all three assignments   in the doc/ pdf  format   before  07.04.2020  through   following email ID:
                    jitenderkumar83@gmail.com 

    Electronics Students  are required  to submit their practical file  also in doc/pdf  format 
before 12.04.2020. 
Hope you all are doing good with all your family member.
"Follow the guidelines given by the Authorities and take care".

With Best wishes

Dr. Jitender Kumar
BCAS, Dwarka

Questions based on PID

Assignment 3:

Questions based on the  e -notes provided to the students on 26.03.2020
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1. Explain the effect of P, P I and P I D controllers on the performance of a system when  they are introduced in that  system.
2. What do you mean by  the basic control action of controllers? Classify them. 
3. Show that steady  state error  increases by using the derivative feedback control.
4.  A unity feedback system is characterized by an  open loop transfer function G(s) = K/s(s+10) . Determine the gain K so that the system will have a damping ration of 0.5.  For this value of K determine setting time, Peak overshoot and peak time for a unit step input.
5. Compare PI and PD controllers. (at least  five differences)

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      Students are required to complete Assignment 2  and Assignment 3 during this week.

with best wishes 

Practical List : Control Systems

B.Sc. (Hons) Electronics    DSE III:  Control System                   Practical List  I ..................................................................................................................................................................... To plot the unit step response for a  given transfer function and find it's  rise time, peak time, settling time , maximum overshoot and delay time  . To study the effect of addition of  zeros and poles to the forward path transfer function of a closed loop system. To study the effect of feedback on time constant of a control system. To study the effect of adding a zero to second order system. To study  the damping  cases for  second order  system.  Stability analysis  (Root Locus, Bode Plot and Nyquist Plot) To study the effect of P,PD,PI and PID  controller on a second order  control system    .............................................................................................................................................................................         Students are required to complete  their   above pending software  practicals  based on Scilab     from       their  residents/homes.  Practicals related to hardware will be completed later on in the Labs. ........................................................................................................................................

Questions based on Frequency Domain Analysis (from the notes given to students on 25.03.2020)

      Assignment : 2
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1. The response of a control system is  c(t) =   exp(-3t) sin(2t) ,  when subject to a impulse input. Obtain the expression for closed loop transfer function.
2. Derive the expression for  the correlation between time and frequency domain specifications for a second order system.
3.  Find frequency domain specifications for a  system having  C(s)/R(s)= 81/ [(s^2+18s+81)]
4. Define the following terms : (i)  Resonance frequency,  (ii) Bandwidth,  (iii) Cut off rate, (iv) Phase margin and (v) gain margin.
5. What are the frequency domain specifications?
6. Determine the resonant frequency, resonance peak and bandwidth for the system whose transfer function is   C(s)/R(s)= 5/ [(s^2+2s+5)]
7.  Write at least three advantages and disadvantages of  using frequency domain analysis. 

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Students are required to complete this assignment in this week. if any query /doubts anyone  can call me any time.
with best wishes
...........................................................................................................................................................

For root locus
https://www.youtube.com/watch?v=ww9rHEAwTnE