Theory Iso Control Systems

RAJALAKSHMI ENGINEERING COLLEGE, THANDALAM – 602 105

INDEX

S.No. Form Nos. Title of the Form Page Nos.

1 CF1 Preface of the Course File 2

2 CF2 Subject handled by yester years 3

3 CF3 Allocation of subject & class time table with TCH 4

4 CF4 Faculty Time Table 5

5 CF5 Syllabus 6

6 CF6 Lesson Plan & Learning Structure 7

7 CF7 Course Student List 11

8 CF8 Assignments/ Self Study Topics 14

9 CF9 Report on frequent absentees 15

10 CF10 Unit test question paper 16

11 CF11 Mark List 24

12 CF12 Result Analysis 27

13 CF13 Action taken on Slow Learners 37

14 CF14 University question paper / question bank 45

FORM NO.CF1

PREFACE OF THE COURSE FILE

DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING

Batch : 2009-13

Branch : ECE

Year & Semester : II Year IV Sem

Subject Code : EC2255

Name of the Subject : CONTROL SYSTEMS

Staff incharge : J.JOSELIN J EYA SHEELA

2

FORM NO.CF2

SUBJECT HANDLERS OF YESTER YEARS


SUBJECT : CONTROL SYSTEMS

SUBJECT CODE : EC2255

S.No. Academic Year Class & Section Name of the Faculty Member

1 2009-2010 ECE A Ms.DEVI

2 2009-2010 ECE B Ms.HARINI

3

FORM NO. CF3

RAJALAKSHMI ENGINEERING COLLEGE, THANDALAM – 602 105Department of Electronics & Communication EngineeringTime Table for the Academic Year 2010 (EVEN Semester)

Branch: II ECE B Semester: IV Version: 1Class In Charge: Ms.H.Radhika Hall No: WS6B W.E.F: 31-01-2011

Days/ Periods

8.00-9.00 9.00-9.50 9.50-10.10

10.10-11.00 11.00-11.50

11.50-12.40

12.40-1.30 1.30-2.20 2.20-3.10

Monday EC2251 MA2261 BREAK

EC2252(T) SEM/LIB LUNCH

EC2255Tuesday EC2252 EC2357/58 MA2261 EC2255 EC2254

Wednesday EC2254 EC2255 EC2252 EC2251 EC2253(T)Thursday EC2253 MA2261 EC2257/59

Friday EC2253 MA2261 EC2251 EC2258/59

Time Table In charge Time Table Coordinator HOD / ECE Principal

4

SUB CODE

SUB NAME L / P HRS

TUHRS

STAFF CODE

STAFF NAME

MA2261PROBABILTY & RANDOM PROCESS

4 1 MA 82 Ms.S.Gulnaz Fathima

EC2251 ELECTRONIC CIRCUITS - II 4 0 EC 127 Ms.H.RadhikaEC2252 COMMUNICATION THEORY 3 1 EC 49 Mr.K.SenthilkumarEC2253 ELECTROMAGNETIC FIELDS 3 1 EC 115 Mr.M.Sathish

EC2254LINEAR INTEGRATED CIRCUITS

3 0 EC 131 Mrs.I.Poonguzhali

EC2255 CONTROL SYSTEMS 4 0 EC 54 Mrs.J.Joselin Jeyasheela

EC2257ELECTRONIC CIRCUITS II & SIMULATION LAB

3 0 EC54,EC127 Mrs.J.Joselin Jeyasheela, Ms.H.Radhika

EC2258LINEAR INTEGRATED CIRCUITS LAB

3 0 EC76,EC47 Mr.J.Vijayaraghavan, Mrs. S. Chitra

EC2259ELECTRICAL ENGINEERING & CONTROL SYSTEMS LAB

3 0 EE53,EE52 Mrs.N.Swethaa,Mrs.A.Sangari

SEMLIB

2 0 EC101EC

Mr.T.Manikandan Ms.Radhamani

FORM NO. CF4

RAJALAKSHMI ENGINEERING COLLEGE, THANDALAM – 602 105Department of Electronics & Communication Engineering

FACULTY TIME TABLE

Day/Period 1 2 3 4 5 6 7 8MON EC2021 EC2255TUE EC2257-B EC2255WED EC2255 147251-BTHU EC2021 EC2257-BFRI 147251-B EC2021

EC2021 - Medical Electronics III ECE EC2255 - Control System II ECE BEC2257 - Electronic Circuits II Lab(2ses) II ECE B147251 - Circuits & Devices Lab(2ses) I IT B

5

FORM NO. CF5EC2255 CONTROL SYSTEMS

AIMTo familiarize the students with concepts related to the operation analysis and stabilization of control systems

OBJECTIVES To understand the open loop and closed loop (feedback ) systems To understand time domain and frequency domain analysis of control systems required for

stability analysis. To understand the compensation technique that can be used to stabilize control systems

1. CONTROL SYSTEM MODELING 9Basic Elements of Control System – Open loop and Closed loop systems - Differential equation - Transfer function, Modeling of Electric systems, Translational and rotational mechanical systems - Block diagram reduction Techniques - Signal flow graph

2. TIME RESPONSE ANALYSIS 9Time response analysis - First Order Systems - Impulse and Step Response analysis of second order systems - Steady state errors – P, PI, PD and PID Compensation, Analysis using MATLAB

3. FREQUENCY RESPONSE ANALYSIS 9Frequency Response - Bode Plot, Polar Plot, Nyquist Plot - Frequency Domain specifications from the plots - Constant M and N Circles - Nichol’s Chart - Use of Nichol’s Chart in Control System Analysis. Series, Parallel, series-parallel Compensators - Lead, Lag, and Lead Lag Compensators, Analysis using MATLAB. 4. STABILITY ANALYSIS 9Stability, Routh-Hurwitz Criterion, Root Locus Technique, Construction of Root Locus, Stability, Dominant Poles, Application of Root Locus Diagram - Nyquist Stability Criterion - Relative Stability, Analysis using MATLAB

5. STATE VARIABLE ANALYSIS & DIGITAL CONTROL SYSTEMS 9State space representation of Continuous Time systems – State equations – Transfer function from State Variable Representation – Solutions of the state equations - Concepts of Controllability and Observability – State space representation for Discrete time systems. Sampled Data control systems – Sampling Theorem – Sample & Hold – Open loop & Closed loop sampled data systems. TOTAL : 45 PERIODS

TEXTBOOK:

1. J.Nagrath and M.Gopal,” Control System Engineering”, New Age International Publishers, 5 th

Edition, 2007.2. M.Gopal, “Control System – Principles and Design”, Tata McGraw Hill,

2nd Edition, 2002.

6

REFERENCES:

1. Benjamin.C.Kuo, “Automatic control systems”, Prentice Hall of India, 7th Edition,1995.2. M.Gopal, Digital Control and State Variable Methods, 2nd Edition, TMH, 2007.3. Schaum’s Outline Series,’Feedback and Control Systems’ Tata McGraw-

Hill, 2007.4. John J.D’azzo & Constantine H.Houpis, ’Linear control system analysis and design’, Tata

McGrow-Hill, Inc., 1995.5. Richard C. Dorf & Robert H. Bishop, “ Modern Control Systems”, Addidon – Wesley, 1999.

7

FORM NO. CF6

Rajalakshmi College of Engineering, Thandalam,ChennaiDepartment Of Electronics and Communication

Lesson Plan

FACULTY NAME: Mrs.J.Joselin Jeya Sheela CLASS : II YEAR ECE ‘B’

SUBJECT: CONTROL SYSTEMS CODE: EC2255

AIMTo familiarize the students with concepts related to the operation analysis and stabilization of control systems

OBJECTIVES To understand the open loop and closed loop (feedback ) systems To understand time domain and frequency domain analysis of control systems required for

stability analysis. To understand the compensation technique that can be used to stabilize control systems

1. CONTROL SYSTEM MODELING 9Basic Elements of Control System – Open loop and Closed loop systems - Differential equation - Transfer function, Modeling of Electric systems, Translational and rotational mechanical systems - Block diagram reduction Techniques - Signal flow graph

2. TIME RESPONSE ANALYSIS 9Time response analysis - First Order Systems - Impulse and Step Response analysis of second order systems - Steady state errors – P, PI, PD and PID Compensation, Analysis using MATLAB

3. FREQUENCY RESPONSE ANALYSIS 9Frequency Response - Bode Plot, Polar Plot, Nyquist Plot - Frequency Domain specifications from the plots - Constant M and N Circles - Nichol’s Chart - Use of Nichol’s Chart in Control System Analysis. Series, Parallel, series-parallel Compensators - Lead, Lag, and Lead Lag Compensators, Analysis using MATLAB. 4. STABILITY ANALYSIS 9Stability, Routh-Hurwitz Criterion, Root Locus Technique, Construction of Root Locus, Stability, Dominant Poles, Application of Root Locus Diagram - Nyquist Stability Criterion - Relative Stability, Analysis using MATLAB

5. STATE VARIABLE ANALYSIS & DIGITAL CONTROL SYSTEMS 9

8

State space representation of Continuous Time systems – State equations – Transfer function from State Variable Representation – Solutions of the state equations - Concepts of Controllability and Observability – State space representation for Discrete time systems. Sampled Data control systems – Sampling Theorem – Sample & Hold – Open loop & Closed loop sampled data systems. TOTAL : 45 PERIODS

TEXTBOOK:

3. J.Nagrath and M.Gopal,” Control System Engineering”, New Age International Publishers, 5 th

Edition, 2007.4. M.Gopal, “Control System – Principles and Design”, Tata McGraw Hill,

2nd Edition, 2002.

REFERENCES:

1. Benjamin.C.Kuo, “Automatic control systems”, Prentice Hall of India, 7th Edition,1995.2. M.Gopal, Digital Control and State Variable Methods, 2nd Edition, TMH, 2007.3. Schaum’s Outline Series,’Feedback and Control Systems’ Tata McGraw-

Hill, 2007.4. John J.D’azzo & Constantine H.Houpis, ’Linear control system analysis and design’, Tata

McGrow-Hill, Inc., 1995.5. Richard C. Dorf & Robert H. Bishop, “ Modern Control Systems”, Addidon – Wesley,

1999.

UNIT I CONTROL SYSTEM MODELLING

S.No Date Hours Topics Unit No of periods

to be required

T/R Book

Page No

1 System Concept : Basic Elements, open loop system And Closed loop system

I1 T1 1-5

2 Differential Equation , Transfer function

1 T1 22-30

3 Modelling of electric systems, Translational systems, Rotational mechanical systems, Simple electro mechanical systems

4 T1 31-57

4 Block diagram representation of systems, Block diagram reduction methods

4 T1 57-65

5 Determination of signal flow graph

3 T1 65-76

9

6 Tutorial 2

UNIT II TIME RESPONSE ANALYSIS


to be required

T/R Book

Page No

1 Test signals.(unit step, ramp,parabolic ,impulse)

II

2 T1 185-187

2 Time response of first order systems

2 T1 187-190

3 Time response of second order systems.

2 T1 190-201

4 Type and order of system. Generalized error coefficient and steady state error.

2 T1 201-205

5 P,PI,PD,PID Compensation 2 T1 208-2126 Tutorial 2

UNIT III FREQUENCY RESPONSE ANALYSIS


to be required

T/R Book

Page No

1 Introduction to frequency domain analysis

III1 T1 327-334

2 Stability analysis using Bode plot , Gain and phase margin

3 T1 338-348

3 Stability analysis using Polar plot , Gain and phase margin

3 T1 334-338

4 Stability analysis using Nyquist plot , Gain and phase margin

3T1T2

361539-564

5 Frequency Domain specifications from the plots - Constant M and N Circles

3 R1 613-624

6 Nicholas Chart 3 T2 633-6397 Series,Parallel,Series-

Parallel Compensators3

10

8 Lead,Lag,Lead-Lag Compensators

3 T2 479-494

9 Tutorial 2UNIT IV STABILITY ANALYSIS


to be required

T/R Book

Page No

1 Stability, Routh-Hurwitz Criterion

IV

2 T1 250-269

2 Root Locus Technique 2 T1 277-2803 Construction of Root Locus 2 T1 281-3154 Stability, Dominant Poles 1 T1 281-3155 Application of Root Locus

Diagram1 281-315

6 Nyquist Stability Criterion 3 T1 361-3897 Relative Stability 1 T1 361-3898 Tutorial

2

––-–.–––.UNIT V STATE VARIABLE ANANLYSIS AND DIGITAL CONTROL SYSTEMS


to be required

T/R Book

Page No

1 State space representation of Continuous Time systems – State equations

V

2 T1 556-5732 Transfer function from State

Variable Representation 1T1T2

548-555779

3 Solutions of the state equations 1

T1T2

584-595898-906

4 Concepts of Controllability and Observability 1

T1T2

596-604907-916

5 State space representation for Discrete time systems 2 T1 574-577

6 Sampled Data control systems 1

7 Sampling Theorem 18 Sample & Hold 19 Open loop & Closed loop

sampled data systems 110 Tutorial

1

11

Staff Incharge HOD Signature

12

Facts

Concept

Principles

Learning Structure:

Application

Procedure

Open Loop and Closed loop systems, Basic elements of control systems,

Modeling of Mechanical and Electrical Systems, Block Diagram and Signal Flow graph

Differential equations, Transfer Functions, Controllability, Observability, State Equations, Stability

Time Domain Specifications, Frequency Domain Specifications, Compensation

Frequency Plot of Bode, Polar, Nichols Chart, Root Locus Techniques, Nyquist Criteria, Discrete Time Systems, Continous Time Systems

COURSE STUDENT LISTFORM NO. CF7

Sl.no Register No. Roll No. Student Name

1 21109106059 200902061 NANDINI DEVI V

2 21109106060 200902062 NARENDRAN DHAKSHNAMURTHY

3 21109106061 200902063 NEETHI NANDINI D

4 21109106062 200902064 PRADHEBA C R

5 21109106064 200902065 PRASANNA S

6 21109106065 200902066 PRATHIBA M

7 21109106066 200902067 PRAVEEN KUMAR M

8 21109106067 200902068 PREETHI P

9 21109106068 200902069 PRIYA R J

10 21109106069 200902070 PUNITHA S P

11 21109106070 200902071 RAGHURAM J

12 21109106071 200902072 RAJ SUNDHAR R

13 21109106072 200902073 RAJARAJAN N

14 21109106073 200902074 RAJESH R

15 21109106075 200902075 RAMANATHAN AL

16 21109106076 200902076 RAMESHKUMAR R

17 21109106077 200902077 RAVISANKAR T

18 21109106078 200902078 RAVIVARMAN S J

19 21109106079 200902079 RAYMOND DIXON J

20 21109106080 200902080 ROHIT RAJAN

21 21109106081 200902081 SAATHVIK S R

22 21109106082 200902082 SABARI RAJAN V

23 21109106083 200902083 SACHIDHANANDAN C

24 21109106084 200902084 SANTHOSH M N

25 21109106085 200902085 SARANYA B (03-09-1991)

13



26 21109106086 200902086 SARANYA B (18-01-1992)

27 21109106087 200902087 SHAKTHIPRIYA M

28 21109106088 200902088 SHIV RANJANI B

29 21109106093 200902089 SIVA SANKAR P

30 21109106090 200902090 SIDDHARTH KARTHIKEYAN

31 21109106091 200902091 SINDUJA S

32 21109106092 200902092 SIVA M S

33 21109106095 200902093 SIVASUBRAMANIAN S

34 21109106094 200902094 SIVASUBRAMANIAN A

35 21109106096 200902095 SOWMIYA C

36 21109106097 200902096 SREEJITH S

37 21109106099 200902097 SRINATH S

38 21109106100 200902098 SRIRAM P N

39 21109106101 200902099 SRIRAM S

40 21109106103 200902100 SUDHA A

41 21109106104 200902101 SUJATHA K

42 21109106105 200902102 SUMITHRA G

43 21109106106 200902103 SURESH S

44 21109106107 200902104 SWATHY U

45 21109106108 200902105 SWAYAMPRAKASH S

46 21109106109 200902106 THILAK K

47 21109106111 200902107 VENKATA SAI SUBRAMANYAM G

48 21109106112 200902108 VIGNESH N

49 21109106113 200902109 VILASINI K M

50 21109106114 200902110 VINEED KUMAR K

51 21109106115 200902111 VISWANATH SUBRAMANI S S

52 21109106116 200902112 VIVEK NARAYAN S

53 21109106102 200902113 SRUTHI RAMACHANDRAN

14



54 21109106063 200902114 PRASANJEET MAJI

55 21109106074 200902115 RAM VIGNESH R

56 21109106098 200902116 SRIHARI M

57 21109106089 200902117 SHYAM PARAMASIVAM

58 21109106303 200902118 Dheeruj S (L/E)

59 21109106304 200902119 Dinesh Kumar V(L/E)

60 21109106310 200902120 Rajiv C(L/E)

61 21109106311 200902121 Raj Kamal K (L/E)

62 21109106313 200902122 Shanmugapriyan R C (L/E)

63 21109106315 200902123 Sudhakar K (L/E)

64 21109106312 200902131 Ramya B(L/E)

65 21109106302 200902134 Bharathi B (L/E)

15

FORM NO. CF8

ASSIGNMENTS


Subject: CONTROL SYSTEMS Faculty Name: Mrs.J.JOSELIN JEYA SHEELA Subject Code: EC2255 Faculty Code: EC54

Year / Semester / Section: II/IV/B

UnitNo.

TopicsBooks to be

ReferredDate of

AnnouncementDate of

Submission

1

Problems – TRANSLATIONAL SYSTEM AND ROTATIONAL SYSTEM,BLOCK DIAGRAM REDUCTION,SIGNAL FLOW GRAPH

NAGOORKANI

11.1.11 18.1.11

2PROBLEMS IN TIME RESPONSE ANALYSIS

NAGOORKANI

2.2.11 5.2.11

3Problems in Bode plot, Polar plot, Nichols Chart

4Problems in Routh Hurwitz Criteria and Root Locus Techniques

5Problems in State Transition Matrix , Controllability and Observability

16

FORM NO. CF9

REPORT ON FREQUENT ABSENTEES

Student Name Roll No. Register No.Sowmiya.C 200904095 21109106096

Batch Semester DepartmentI III ECE

Total No. of days as on 15/2/11 21No. of days attended as on 15/2/11 03Percentage of attendance as on 15/2/11 12.5%

Absent Dates 22/12/2010 to 12/2/2011

Intimation to students, Reference & date

Yes

Intimation to parents, Reference & date

Yes

Action taken Special Assignment was given

Reason for Absentism GOT MARRIED

Measures taken to prevent absentism -

17

FORM NO. CF10UT QP

RAJALAKSHMI ENGINEERING COLLEGE, CHENNAI 602105Department of Electronics and Communication Engineering

UNIT TEST I

Sub. Code : EC2255Sub.Name: Control Systems

Date : 01.02.2011Max. Mark: 50Duration : 90 minYear : II ECE A & B

A

Answer All QuestionsPART – A (5x 2=10 Marks)

1. Write Mason’s Gain Forumula.2. Write the comparison between open loop and closed loop system.3. How to eliminate the negative feedback loop in a block diagram?4. Express the Transfer function of Armature controlled DC motor?5. Write the force balance equation for an ideal spring?

Answer All QuestionsPART - B (8+16+16=40 Marks)

6. (a) Derive the Transfer Function of Field Controlled DC Motor and represent with the Block Diagram (8)

7. (a) Write the differential equations governing the mechanical system, draw the Force-Voltage and Force-Current electrical analogous circuits (16)

18

(OR) (b) Write the differential equations governing the mechanical system, draw the Torque-Voltage and Torque-Current electrical analogous circuits (16)

8. (a) For the system represented by the block diagram determine C1/R1 and C2/R2 using Block reduction technique. (16)

(OR) (b) Find the Overall gain of the system whose signal flow graph is (16)

19

20

FORM NO. CF11

MARK LIST

Roll No. Student Name Unit Test 1 Unit Test 2Model Exam

200902061 NANDINI DEVI V 100

200902062NARENDRAN DHAKSHNAMURTHY 36

200902063 NEETHI NANDINI D 100

200902064 PRADHEBA C R 94

200902065 PRASANNA S 72

200902066 PRATHIBA M 32

200902067 PRAVEEN KUMAR M 52

200902068 PREETHI P 60

200902069 PRIYA R J 66

200902070 PUNITHA S P 28

200902071 RAGHURAM J 42

200902072 RAJ SUNDHAR R 54

200902073 RAJARAJAN N 42

200902074 RAJESH R 78

200902075 RAMANATHAN AL 32

200902076 RAMESHKUMAR R 38

200902077 RAVISANKAR T 26

200902078 RAVIVARMAN S J 30

200902079 RAYMOND DIXON J 36

200902080 ROHIT RAJAN 68

200902081 SAATHVIK S R 74

200902082 SABARI RAJAN V 54

200902083 SACHIDHANANDAN C 50

200902084 SANTHOSH M N 28

21

FORM NO. CF11

MARK LIST


200902085 SARANYA B (03-09-1991) 56

200902086 SARANYA B (18-01-1992) 94

200902087 SHAKTHIPRIYA M 86

200902088 SHIV RANJANI B 94

200902089 SIVA SANKAR P 88

200902090 SIDDHARTH KARTHIKEYAN 28

200902091 SINDUJA S 84

200902092 SIVA M S 68

200902093 SIVASUBRAMANIAN S 64

200902094 SIVASUBRAMANIAN A 50

200902095 SOWMIYA C A

200902096 SREEJITH S 44

200902097 SRINATH S 88

200902098 SRIRAM P N 82

200902099 SRIRAM S 75

200902100 SUDHA A 86

200902101 SUJATHA K 62

200902102 SUMITHRA G 72

200902103 SURESH S 36

200902104 SWATHY U 64

200902105 SWAYAMPRAKASH S 64

200902106 THILAK K 64

200902107VENKATA SAI SUBRAMANYAM G 22

200902108 VIGNESH N 50

200902109 VILASINI K M 28

200902110 VINEED KUMAR K 26

22

FORM NO. CF11

MARK LIST


200902111VISWANATH SUBRAMANI S S 32

200902112 VIVEK NARAYAN S 26

200902113 SRUTHI RAMACHANDRAN 90

200902114 PRASANJEET MAJI 64

200902115 RAM VIGNESH R 84

200902116 SRIHARI M 64

200902117 SHYAM PARAMASIVAM 74

200902118 Dheeruj S (L/E) 14

200902119 Dinesh Kumar V(L/E) 32

200902120 Rajiv C(L/E) 16

200902121 Raj Kamal K (L/E) 26

200902122 Shanmugapriyan R C (L/E) 0

200902123 Sudhakar K (L/E) 4

200902131 Ramya B(L/E) 84

200902134 Bharathi B (L/E) 62

23

FORM NO. CF12

RESULT ANALYSIS

II year Mechanical Unit Test 1 Unit Test 2 Model Exam

No of students present 64No of students Absent 1No of students passed 40No of Failures 24

Pass Percentage % 62.5

RESULT ANALYSIS - TEST - 1

Semester : IV

Branch and Section : ECE-B

Subject Code and Subject Name : EC2255 - Control Systems

Staff Code and Name : EC54 - Joselin Jeya Sheela J

Designation and Department : Lecturer / ECE

Date of Examination : 01-Feb-2011

Class Strength : 65

Number Absent : 1

Number Present : 64

TEST PERFORMANCE ANALYSIS______________________________________________________________________

MARKS NUMBER %______________________________________________________________________

ABSENT 01 01.54

0-10% 02 03.08

11-20% 02 03.08

21-30% 10 15.38

31-40% 08 12.31

41-50% 06 09.23

51-60% 05 07.69

24

61-70% 11 16.92

71-80% 06 09.23

81-90% 09 13.85

91-100% 05 07.69______________________________________________________________________

FORM NO. CF12

25

FORM NO. CF12

List of Failures - Unit Test 1

Roll No. Student Name Marks

200902062 NARENDRAN DHAKSHNAMURTHY 36

200902066 PRATHIBA M 32

200902070 PUNITHA S P 28

200902071 RAGHURAM J 42









200902096 SREEJITH S 44

200902103 SURESH S 36

200902107 VENKATA SAI SUBRAMANYAM G 22



200902111 VISWANATH SUBRAMANI S S 32


200902118 Dheeruj S (L/E) 14


200902120 Rajiv C(L/E) 16

200902121 Raj Kamal K (L/E) 26


200902123 Sudhakar K (L/E) 4

26

FORM NO. CF13

ACTION TAKEN ON SLOW LEARNERS

Unit Test 1

Roll No. Student Name Marks

200902062 NARENDRAN DHAKSHNAMURTHY 36

200902066 PRATHIBA M 32

200902070 PUNITHA S P 28

200902071 RAGHURAM J 42









200902096 SREEJITH S 44

200902103 SURESH S 36

200902107 VENKATA SAI SUBRAMANYAM G 22



200902111 VISWANATH SUBRAMANI S S 32


200902118 Dheeruj S (L/E) 14


200902120 Rajiv C(L/E) 16

200902121 Raj Kamal K (L/E) 26


200902123 Sudhakar K (L/E) 4

Action taken

27

Two assignments are given for a student in the mark range of 0 – 25 and one assignment is given for

students in the mark range of 26 – 49.

Outcome of action taken

Oral test was conducted for students. Students performed well.

28

FORM NO. CF14UNIVERSITY QP / QB

QUESTION BANK

UNIT ICONTROL SYSTEM MODELLING

PART – A (2 Marks)1. Write Mason’s gain formula.2. What is mathematical model of a system?3. What do you mean by sensitivity of the control system?4. What is a system?5. What is control system?6. What are the two major types of control systems?7. Define open loop and closed loop systems.8. What is feedback? What type of feed back is employed in control system?9. Why negative feedback is preferred in control systems?10. Distinguish between open loop and closed loop systems.11. State principle of superposition theorem.12. What is time variant and Time invariant?13. Define transfer function.14. Write force balance equation of ideal spring, ideal mass.15. Name the two types of electrical analogous for mechanical system.16. What is signal flow graph?17. Define non-touching loop.

PART – B (16 Marks)1. Write the differential equations governing the Mechanical system shown in fig .and determine the transfer function. (16)2. Determine the transfer function Y2(S)/F(S) of the system shown in fig. (16)3. Write the differential equations governing the Mechanical rotational system shown infig. Draw the Torque-voltage and Torque-current electrical analogous circuits.(16)4. Determine the overall transfer function C(S)/R(S) for the system shown in fig.

(16)5. Obtain the closed loop transfer function C(S)/R(S) of the system whose blockdiagram is shown in fig.(16)6. For the system represented by the block diagram shown in fig. Determine C1/R1and C2/R1.(16)7. Obtain the closed loop transfer function C(S)/R(S_ of the system whose block

29

diagram is shown in fig.(16)

8. Find the overall gain of the system whose signal flow graph is shown in fig.(16)9. Draw a signal flow graph and evaluate the closed loop transfer function of a systemwhose block is shown in fig.(16)10. Derive the transfer function for Armature controlled DC servo motor. (16)11. Derive the transfer function for Field controlled DC servo motor. (16)

UNIT IITIME RESPONSE ANALYSIS

PART – A (2 Marks)1. What is time response?2. What is transient and steady state response?3. Name the test signals used in time response analysis.4. Define step signal.5. Define Ramp signal and parabolic signal.6. What is an impulse signal?7. How is system classified depending on the value of damping?8. Sketch the response of a second order under damped system.9. What is damped frequency of oscillation?10. The closed-loop transfer function of second order system isC(S)/R(S) =10/ S2 +6S +10. What is the type of damping?11. List the time domain specifications.12. Define rise time, delay time, peak time.13. What is steady state error?14. What are static error constants?15. Define position, velocity error constants.16. What are generalized error constants?17. List the advantages of generalized error constants.

PART B (16 Marks)1. (a)Derive the expressions and draw the response of first order system for unit stepinput. (8)(b) Draw the response of second order system for critically damped case and wheninput is unit step. (8)2. Derive the expressions for Rise time, Peak time, Peak overshoot. (16)3. A potential control system with velocity feedback is shown in fig. What is theresponse of the system for unit step input?

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(16)4. Measurements conducted on a Servomechanism show the system response to bec(t)=1+0.2 ê 60t-1.2 ê –10 t. when subjected to a unit step. Obtain an expression forclosed loop transfer function. (16)5. A positional control system with velocity feedback is shown in fig. What is theresponse c(t) to the unit step input. Given that ς =0.5.and also calculate rise time, peaktime, Maximum overshoot and settling time.(16)6. A unity feedback control system has an open loop transfer function G(S) = 10/S(S+2).Find the rise time, percentage over shoot, peak time and settling time. (16)7. A closed loop servo is represented by the differential equation, where c is thedisplacement of the output shaft, r is the displacement of the input shaft and e= r-c.Determine undamped natural frequency, damping ratio and percentage maximumovershoot for unit step input. (16)8. For a unity feedback control system the open loop transfer functionG(S) = 10(S+2)/ S2 (S+1).Find (a) position, velocity and acceleration error constants.(b) The steady state error when the input is R(S) where R(S) =3/S –2/S2

+1/3S3

(16)

9. The open loop transfer function of a servo system with unity feed back system isG(S) = 10/ S(0.1S+1).Evaluate the static error constants of the system. Obtain thesteady state error of the system when subjected to an input given by the polynomialr(t) = a0 +a1t +a2 /2 t2 . (16)

UNIT IIIFREQUENCY RESPONSE ANALAYSISPART – A ( 2 Marks)1. What is frequency response analysis?2. What is Nichol’s chart?3. What are the two contours of Nichols chart?

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4. What are the advantages of Nichol’s chart?5. Draw the polar plot of the function G(S) =1/S(S+T1)(1+ST2)6. Determine the Phase angle of the given transfer functionG(S) = 10 / S (1+0.4S) (1+0.1S)7. What is polar plot?8. Define gain cross over frequency9. Define Phase cross over frequency10. Define Phase Margin11. Define Gain Margin12. How do you calculate the gain margin from the polar plot?13. How do you find the stability of the system by using polar plot?14. What are the advantages of Bode plot?15. List the Frequency domain specifications16. What is minimum phase system?17. What is non-minimum transfer function?18. What is cut off frequency?19. Compare bode plot and Nyquist plot analysis.20. What is Bandwidth?21.What is lag-lead compensation?22. What is lag-lead compensator?23. Draw electrical lag-lead compensator network24. Write transfer function of lag-lead compensator?25. Compare series compensator and feed back compensatorPART – B (16 Marks)1. Plot the Bode diagram for the following transfer function and obtain the gain andphase cross over frequencies.G(S) = 10/ S(1+0.4S) (1+0.1S) (16)2. The open loop transfer function of a unity feed back system is G(S) = 1/ S(1+S)(1+2S) Sketch the Polar plot and determine the Gain margin and Phase margin. (16)3. Sketch the Bode plot and hence find Gain cross over frequency ,Phase cross overfrequency, Gain margin and Phase margin.G(S) = 0.75(1+0.2S)/ S(1+0.5S) (1+0.1S) (16)4. Sketch the Bode plot and hence find Gain cross over frequency ,Phase cross overfrequency, Gain margin and Phase margin.G(S) = 10(S+3)/ S(S+2) (S2+4S+100) (16)5. Sketch the polar plot for the following transfer function .and find Gain cross overfrequency, Phase cross over frequency, Gain margin and Phase margin.G(S) = 10(S+2)(S+4)/ S (S2 -3S+10) (16)6. Construct the polar plot for the function GH(S) =2(S+1)/ S2. find Gain cross over

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frequency ,Phase cross over frequency, Gain margin and Phase margin. (16)7. Plot the Bode diagram for the following transfer function and obtain the gain andphase cross over frequencies.G(S) =KS2 / (1+0.2S) (1+0.02S). Determine the value of K for a gain cross overfrequency of 20 rad/sec. (16)8. Sketch the polar plot for the following transfer function and find Gain cross overfrequency, Phase cross over frequency, Gain margin and Phase margin.

G(S) = 400/ S (S+2)(S+!0) (16)9. A unity feed back system has open loop transfer function G(S) = 20/ S(S+2)(S+5).Using Nichol’s chart determine the closed loop frequency response andestimate all the frequency domain specifications. (16)10. Sketch the Bode plot and hence find Gain cross over frequency ,Phase cross overfrequency, Gain margin and Phase margin.G(S) = 10(1+0.1S)/ S(1+0.01S) (1+S). (16)11. Write the short notes on correlation between the time and frequency response? (16)12. What is compensation? Why it is needed for control system? Explain the types ofcompensation? (16)13. Realize the basic compensators using electrical network and obtain the transferfunction. (16)14. Design a suitable lead compensators for a system with unity feedback and havingopen loop transfer function G(S)= K/ S(S+1) (S+4) to meet thespecifications.(i)Damping ratio=0.5 (ii) Undamped natural frequency Wn =2 rad/sec.(16)15. A unity feed back system has an open loop transfer function G(S)= K/ S(S+1)(0.2S+1).Design a suitable phase lag compensators to achieve followingspecifications Kv= 8 and Phase margin 40 deg with usual notation. (16)16. Explain the procedure for lead compensation and lag compensation? (16)17. Explain the design procedure for lag- lead compensation. (16)18. Consider a type 1 unity feed back system with an OLTF Gf(S) =K/S (S+1) (S+4).The system is to be compensated to meet the following specifications Kv > 5sec andPM>43 deg. Design suitable lag compensators

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UNIT IVSTABILITY ANALYSISPART – A (2 Marks)1. What are the two methods of designing a control system?2. What is the time domain specification needed to design a control system?3. What is the frequency domain specification needed to design a control system?4. State Nyquist stability Criterion.5. What is root locus?6. What is the necessary condition for stability?7. What is characteristic equation?8. How the roots of characteristic are related to stability?9. Define stability.10. What do you mean by dominant pole?11. What are break away points?12. How will you find the root locus on real axis?PART – B (16 Marks)1. Using Routh criterion determine the stability of the system whose characteristicsequation is S4+8S3+18S2+16S+5 =0 . (16)2. F(S)=S6 +S5-2S4-3S3-7S2-4S1-4 =0.Find the number of roots falling in the RHS planeand LHS plane. (16)3. Draw the Nyquist plot for the system whose open loop transfer function isG(S)H(S) =K/S (S+2) (S+10).Determine the range of K for which closed loopsystem is stable.(16)4. Construct Nyquist plot for a feedback control system whose open loop transferfunction is given by G(S)H(S) =5/ S(1-S).comment on the stability of open loopand closed loop transfer function.(16)

5. Sketch the Nyquist plot for a system with the open loop transfer function G(S)H(S)=K(1+0.5S) (1+S) / (1+10S) (S-1).determine the range of values of K for which thesystem is stable. (16)UNIT VSTATE VARIABLE ANALYSIS & DIGITAL CONTROL SYSTEMSPART – A (2 Marks)

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1. What is sampled data control system?2. Write the advantages and disadvantages of sampled data control system.3. State sampling theorem.4. What is periodic sampling?5. What are hold circuits & explain it.6. What are the problems encountered in a practical hold circuits?7. What are the methods available for the stability analysis of sampled data controlsystem?8. What are the advantages of state face analysis?9. What are state variables?10. What are phase variables?PART B (16 Marks)1. Write notes on controllability and absorbability. (16)2. Explain sampling theorem briefly and sample & hold operation. (16)3. Explain stability analysis of sampled control system and Jury’s stability. (16)4. Explain state space representation for descries time system. (8)5. Explain state space representation for continues time system. (8)6. Explain the solution for state equation for discrete time system. (8)7. Explain the solution for state equation for continues time system (8)8. Explain jury’s stability test. (16)

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Theory Iso Control Systems