University of Mumbai

Class: S.E. Branch:Instrumentation Semester: IV
Subject: Feedback Control System (Abbreviated as FCS)
Periods per Week(60 min.each)


Practical 02
Hours Marks
Evaluation System


03 100
Practical  & Oral 02 50


Term Work 25


05 175



all syllabus in single     PDF file free download . SEM IV INST



1 IntroductionDefinition of control system and related terms, open loop andclosed  loop  system,  examples.  Development  of  automatic control systems, classification of control system, examples. 5
2 Mathematical Models of Physical SystemsDefinition of physical systems, principle of superposition andhomogeneity,  linear/non-linear,  time  variant/time  invariant systems. Types of dynamic model, linear elements of electrical and  mechanical  systems,  differential  equations  of  physical systems-mechanical     systems,    electrical    systems,    thermal systems,    fluid    systems,    pneumatic    systems.       Analogous systems. 10
3 Transfer Function and Feedback CharacteristicsDefinition of  transfer  function,  sinusoidal transfer  function,transfer functions of physical systems, block diagram algebra, reduction  rules,  signal  flow  graphs-definition,  construction, properties, and Mason’s gain formula ,sensitivity of closed loop and   open     loop     system,    effect   of    feedback,   effect   of disturbances signals, regenerative feedback with examples 15
4 ServomechanismDefinition   of   servomechanism,    block   diagram    of   servosystems-   AC   servo   system   ,   DC   servo   system,   servo components-  potentiometer,  synchros,  AC  servomotor,  DC servomotor, AC/DC Tachometer, servo amplifiers. 5
5 Time Response AnalysisStandard   test   signals,   pulse   and   impulse   function,   stepfunction,    ramp    function,    parabolic    function,    sinusoidal function,  dynamic  response,  time  response  of  first  order 10



system, time response of second order system, specifications,steady – state error, system types and error constants, effect of adding  zeros  and poles to a system, design specifications of second order system- desired close loop pole location and the dominant condition.
6 Stability Analysis and Root LocusConcept   of   stability,   definitions,   bounded   input-boundedoutput  stability,  relative  stability,  necessary  and  sufficient conditions  for  stability,  Routh  stability  criterion,     relative stability analysis, root locus technique, applications, concept, construction of root loci, root loci of different systems. 10
7 Frequency Response and Stability AnalysisCorrelation between time and frequency response, polar plots,Bode   plots,   log   magnitude  versus   phase   plots,   Nyquist stability  criterion, frequency response specifications, stability analysis using-bode,  polar, log-magnitude versus phase plots, definitions and significance of gain margin and phase margin, sensitivity analysis in frequency domain 10


Theory Examination:

1.         Question paper will consist of total 7 questions, of 20 marks each.

2.         Only 5 questions need to be attempted.

3.         Q.1 will be compulsory covering entire syllabus.

4.         Remaining questions will be of mixed nature.

5.         In  question  paper  weightage  of  each  module  will  be  proportional  to  the number of respective lecture hours as mentioned in the syllabus.




Practical/Oral Examination:

Practical  examination  will  be  based  on  one  experiment  performed  from  the  list  of

experiments given in the syllabus and the oral will be based on entire subject.

Term work:

Term work consists of minimum eight experiments and a written test. The distribution of

the term work shall be as follows,

Laboratory work (Experiments and Journal)                          :10 marks Test (at least one)                                                                                                :10 marks Attendance (Practical and Theory)                                                                            :05 marks

The final certification and acceptance of term-work ensures the satisfactory performance of laboratory work and minimum passing in the term-work.



List of Laboratory Experiments:


1.  To study the caracteristics of:

a.   Synchros Transmitter and Receiver. b.   Synchro as an error detector.

2.  To study DC position control system.

3.  To find characteristics of AC servo motor.

4.  To study the operation of stepper motor.

5.  To study time response of Type 0, 1, 2 systems.

6.  To study the frequency response of First and Second order systems.

7.  To study the effect of damping factor on the performance of second order system.

8.  To study the effect of time constant on performance of 1st order system.


Note:  For  Experiment  No.  5  to  8  the  hardware  results  must  be  verified  using simulation softwares like MATH CAD/MATLAB/SCILAB/OCTAVE or equivalent.


Books Recommended:


1.  Nagrath I. G., Gopal M., Control System Engineering, New Age International (P) Ltd. Publishers 2000.

2.  Gopal M., Control Systems Principles and Design, Tata McGra-Hill Publishing

Co. Ltd. New delhi, 1998.

3.  Nise Norman S., Conrol Systems Engineering, 3rd ed., John Wiley and Sons, Inc. –


4.  Lewis Paul H., Chang Yang, Basic COntrol Systems Engineering, Prentice Hall

International, Inc. 1997.

5.  Kuo Benjamin C., Automatic Control Systems, 6th ed., Prentice Hall of India, New

Delhi – 1993.


all syllabus in single     PDF file free download . SEM IV INST