DEPARTMENT OF

ELECTRONICS AND COMMUNICATION ENGINEERING

QUESTION BANK

IV SEMESTER

EC6405 –Control System Engineering

Regulation – 2013

Academic Year 2017 – 18

Prepared by

Ms. Indu Nikhil, Assistant Professor (O.G)/ECE

Ms. A. Suganya, Assistant Professor (O.G)/ECE

Ms. Mercy Subaraman, Assistant Professor (O.G)/ECE

VALLIAMMAI ENGINEERING COLLEGE SRM Nagar, Kattankulathur – 603 203.

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGINEERING

QUESTION BANK SUBJECT : EC6405 – CONTROL SYSTEM ENGINEERING SEM / YEAR: IV / II year B.E.

EC6405 CONTROL SYSTEM ENGINEERING

UNIT I – CONTROL SYSTEM MODELLING

Basic 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

PART A

Q.No Questions BT

Level

Domain

1. Compare the Open loop System with Closed loop System. BTL 4 Analyzing

2. Design an Electrical analogous network for the mechanical

system shown in the fig. using Force-Voltage Analogy.

BTL 6 Creating

3. Mention the transfer Function of the System. BTL 1 Remembering

4. List the advantages of Closed loop System? BTL 1 Remembering

5. What are the Properties of Signal flow graphs? BTL 1 Remembering

6. Mention about Mason’s gain formula of Signal flow graph. BTL 2 Understanding

7. Explain any two dynamic models to represent control

system.

BTL5 Evaluating

8. Discuss about the block diagram and its components of a

control system.

BTL 2 Understanding

9. Demonstrate the basic elements used for modelling a

mechanical rotational system.

BTL 3 Applying

10. Assess feedback and its types employed in Control system. BTL 4 Analyzing

11. Negative feedback is preferred in control system. Justify

your answer.

BTL 5 Evaluating

12. Write F-V Analogy for the elements of mechanical rotational

system?

BTL 1 Remembering

13. Illustrate any two rules to be followed in block diagram

reduction techniques.

BTL 3 Applying

14. Define Control System BTL 1 Remembering

15. Analyze non-touching loops. BTL 4 Analyzing

16. Interpret signal flow graph BTL 2 Understanding

17. Name the two types of electrical analogous for mechanical

system.

BTL 1 Remembering

18. Formulate force balance equation of ideal spring, ideal mass. BTL 6 Creating

19. Calculate transfer function of the network

BTL3 Applying

20. Outline mathematical model of a system. BTL 2 Understanding

PART –B

1. (i)How could you determine the Transfer Function of the

system Shown in the fig? (7)

(ii)Estimate the Transfer function of the electrical network

shown in the fig. (6)

BTL 5

Evaluating

2. (i) Design the Block diagram to its Canonical form and

obtain C(s)/R(s). (8)

(ii) Elaborate the differences between block diagram and

Signal flow graph methods. (5)

BTL 6

Creating

3. Solve C/R for the signal flow graph shown below. (13)

BTL 3

Applying

4. (i) Consider the Mechanical system shown below and write

the Differential equation. (7)

(ii) Draw the torque-voltage electrical analogous circuit for

the mechanical system shown below. (6)

BTL1

Remembering

5. (i) State any five block diagram reduction rules with

example. (8)

(ii) Mention in detail about any five terminologies used in

signal flow graph. (5)

BTL1

Remembering

6. (i) Determine the equivalent signal flow graph and obtain

C/R using mason’s gain formula for the block diagram show

below. (6)

(ii) For the block diagram shown below, examine the output

C/R. (7)

BTL4

Analyzing

7. Using SFG, Analyze the overall Transfer function for the

system shown in the fig. (13)

BTL4

Analyzing

8. How can you explain the differential equations governing the

mechanical rotational system shown in Fig. and estimate the

T-V and T-I electrical analogous circuits. (13)

BTL 1 Remembering

9. Demonstrate the differential Equations governing the

mechanical system shown in the fig. and determine the

transfer function. (13)

BTL2

Understanding

10. (i) Interpret the overall transfer function of the system shown

in the fig. (8)

(ii)Estimate the overall transfer function of the system

shown in the fig. (5)

BTL2

Understanding

11. (i) Recall the functional blocks of closed loop feedback

control system. (6)

(ii) Give the step by step procedure of determining the

transfer function from the signal flow graph. (7)

BTL1

Remembering

12. (i)Reduce the block diagram shown in figure and find C/R.

(8)

(ii) Explain the basic elements of mechanical rotational

systems?Write its force balance equations. (5)

BTL 4 Analyzing

13. Determine the overall transfer function C(S)/R(S) for the

system shown in figure. (13)

BTL 3 Applying

14. (i) Explain with a neat block diagram explain the working of

Armature controlled DC motor as a control system. (8)

(ii)Explain the features of closed loop control system. (5)

BTL 2 Understanding

PART –C

1. Deduce the transfer function of system shown in figure. (15)

BTL 6 Creating

2. Solve X2/X1 using state Mason’s gain formula and state it.

(15)

BTL 5 Evaluating

3. (i) Estimate the C/R for the Signal flow graph shown below

using Mason’s gain formula. (8)

(ii) Elaborate the Transfer Function C(S)/R(S) of block

diagram shown below. (7)

BTL 6

Creating

4. Estimate the transfer function for thefollowing electrical

network. (8)

(ii) Derive the transfer function of a field controlled DC

Motor with detailed equations. (7)

BTL 5 Evaluating

UNIT II TIME RESPONSE ANALYSIS

Time 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

PART A

Q.No Questions BT

Level

Domain

1. Illustrate how a Control system is classified depending on the

value of damping ratio?

BTL 3 Applying

2. With reference to time response, Examine peak time. BTL 4 Analyzing

3. Define rise time. BTL 1 Remembering

4. The damping ratio and natural frequency of a second order

system are 0.5 and 8 rad/sec respectively. Calculate resonant

peak and resonant frequency.

BTL 3 Applying

5. Recall damping ratio. BTL 1 Remembering

6. Construct a ramp, parabolic and impulse signal. BTL 6 Creating

7. Determine the Damping ratio and natural frequency of

oscillation for the closed loop transfer function of a second

order system is given by 40022

400

SS

BTL 5 Evaluating

8. What is meant by peak overshoot? BTL 1 Remembering

9. Outline the response of the second order under damped

system.

BTL 2 Understanding

10. Draw a step signal. BTL 1 Remembering

11. Mention steady state error. BTL 1 Remembering

12. Generalize why derivative controller is not used in Control

systems.

BTL 6 Creating

13. List the advantages of generalized error coefficients. BTL 1 Remembering

14. Describe the transient and steady state response of control

system?

BTL 2 Understanding

15. Illustrate the units of kp, kv, ka . BTL 2 Understanding

16. Give steady state errors to a various standard inputs for type 2

systems.

BTL 2 Understanding

17. Point out the time domain specifications. BTL 4 Analyzing

18. Summarize the generalized error and static error constants. BTL 5 Evaluating

19. Compare position, velocity error constants. BTL 4 Analyzing

20. Demonstrate the test signals used in time response analysis. BTL 3 Applying

PART –B

1. (i) What are the various standard test signals? Draw the

characteristics diagram and obtain the mathematical

representation of all. (7)

(ii). Write the response of undamped second order system for

unit step input. (6)

BTL 1 Remembering

2. The Unity feedback system is characterized by the open loop

transfer function G

. Estimate the gain K, so

that the system will have the damping ratio of 0.5. For this

value of K, Determine the settling times, peak overshoot, and

time to peak overshoot for a unit step input. (6)

ii) The open loop transfer function of a unity feedback control

system is given by

where K and T are

positive constants. Demonstrate by what factor the amplifier

gain should be reduced so that the peak overshoot of unit step

response of the system is reduced from 75% to 25%. (7)

BTL2

Understanding

3. How will you explain the meaning of for Rise time, fall time,

settling time, peak overshoot with expressions? (13) BTL 2 Understanding

4. (i) A unity feedback system with unit step input for which

open loop transfer

.Solve for the transfer

function, the natural Frequency, the damping ratio and the

damped frequency of oscillation. (7)

(ii) Calculate the delay time, rise time and peak overshoot for

the system whose natural frequency of oscillation is 10rad/s

and damping factor 0.707. (6)

BTL 3 Applying

5.

Consider a Second order model 222

2

)(

)(

ns

ns

n

SR

SY

. Deduce the response y (t) to a unit step input.

(13)

BTL 5

Evaluating

6. (i) A unit ramp input is applied to a unity feedback system

whose output response is

. Analyze the

time response and steady state error. (6)

(ii) For a unity feedback control system the open loop transfer

function

.Calculate Kp, KV, Ka and the steady state

error when the input is R(s) where 2 3

3 2 1

3s s s . (7)

BTL 4

Analyzing

7. Find the time response analysis of a first order system for step

and ramp input. (13)

BTL1 Remembering

8. (i)Develop an Expression to find steady state error of closed

loop system. (6)

(ii) A unity feedback system has the forward transfer function

2)1(

.)(

S

SKSG

for the input , formulate the

minimum value of K so that the steady state error is < 0.1.

(Use final value theorem). (7)

BTL6 Creating

9. With a neat diagram explain the function of PID compensation

in detail. (13)

BTL1 Remembering

10. i) The open loop transfer function of a servo system with unity

feedback is

. Determine the static error

constants of the system. Calculate the steady state error of the

system, when subjected to an input given by

(6)

ii) A certain unity negative feedback control system has the

following forward path transfer function

. The input applied is

. Find the minimum value of K so that the

steady state error is less than 1. (7)

BTL3

Applying

11. (i) What inference can you make about the unit step response

of the control system shown in the fig. (6)

(ii) The open loop transfer function of a unity feedback

system is given by )2(

20)(

SSSG .The input function

is . Examine the generalized error

coefficient and steady state error. (7)

BTL 4 analyzing

12. How PI, PD and PID compensation will improve the time

response of a system, explain with a neat block diagram with

the help of MATLAB programs and also derive the equations.

(13)

BTL 1 Remembering

13. The unity feedback system is characterized by an open loop

transfer function 2)1)(15(

)12()(

sss

sKSG

with

. Determine the minimum value of K if the

steady error is to be less than 0.1. (13)

BTL2 Understanding

14. Analyze the steady state errors for unit step, unit ramp and unit

acceleration input. For a unity feedback system characterized

by the open loop transfer function

. Also determine the damping

ratio and natural frequency of dominant errors. (13)

BTL 4 Analyzing

PART –C PART –C

1. Determine the open loop transfer function for a unit feedback

control system with unit impulse response given by

for (t>0). (15)

(15)

BTL 5 Evaluating

2. The open loop transfer function of servo system with unity

feedback is G(s)=

.Evaluate the static error

constants of the system.Obtain the steady state error of the

system, when subjected to an input given by the polynomial,

r(t)=

(15)

BTL 6 Creating

3. (i) Discuss the effect of derivative control on the performance

of a second order system. (8)

(ii) Figure shows PD controller used for a system

What would happen to the value of Td so when the system

will be critically damped. Calculate it’s settling time. (7)

BTL 6 Creating

4. Design a unit feedback system of a PID controller with open

loop transfer function G(s)=

with the

following specifications:i) ˂0.08 ii)Damping ratio=0.8

iii)wn=2.5 rad/sec. State the expressions for the transfer

function of the PID Controller for the open loop transfer

function of the compensated system. (15)

BTL 5 Evaluating

UNIT III FREQUENCY RESPONSE ANALYSIS

Frequency 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.

PART A

Q.No Questions BT

Level

Domain

1. Derive the transfer function of a lead compensator network. BTL 6 Creating

2. Define Phase margin & gain margin. BTL 1 Remembering

3. Illustrate the need for compensation. BTL3 Applying

4. What is Nyquist plot? BTL 1 Remembering

5. Describe Lag-Lead compensation. BTL2 Understanding

6. Sketch shape of polar plot for the open loop transfer function

G(s)H(s) =

BTL 1 Remembering

7. Analyze the effects of addition of open loop poles. BTL 4 Analyzing

8. Summarize the advantages of Frequency Response Analysis. BTL2 Understanding

9. Mention gain crossover Frequency. BTL 1 Remembering

10. Express M and N circles in detail BTL2 Understanding

11. Demonstrate the MATLAB Command for Plotting Bode

Diagram

BTL3 Applying

12. Explain compensators and list types of compensators. BTL 4 Analyzing

13. Formulate the transfer function of a lead compensator network. BTL 6 Creating

14. List the advantages of Nichol’s chart BTL 1 Remembering

15. Estimate the corner frequency in frequency response analysis? BTL2 Understanding

16. Draw the circuit of lead compensator and draw its pole zero

diagram.

BTL 1 Remembering

17. Frame the specifications required for frequency domain

analysis?

BTL3 Applying

18. Compare series compensator and feedback compensator BTL 4 Analyzing

19. Determine the Phase angle of the given transfer function

)1.01)(4.01(

10)(

SSSsG

BTL 5 Evaluating

20. Evaluate the frequency domain specification of a second order

system when closed loop transfer function is given by

C(S)/R(S)=

BTL 5 Evaluating

PART –B

1. Given G(s) =

Draw the Bode plot and find K for the following two cases:

(i) Gain margin equal to 6db

BTL 1 Remembering

(ii) Phase margin equal to 45°. (13)

2. An UFB system has G(s)=

. Design a Lead

Compensator for the following specification ess for ramp input

≤ 1/15.sec, Gain crossover frequency must be less than 7.5

rad/sec. (13)

BTL6

Creating

3. The open loop transfer function of a unity feedback control

system is G(s) =

.Illustrate a suitable lag-lead

compensator so as to meet the following specifications static

energy velocity error constant Kv =80 sec-1

, phase margin ≥35◦.

(13)

BTL3 Applying

4. Consider a unity feedback system having an open loop transfer

function

Outline the polar plot and determine the value of K so that

(i) Gain margin is 20db

(ii) phase margin is 30°. (13)

BTL2 Understanding

5. A unity feedback control system has

G(s) =

, Find the Bode plot.

Find K when GCOF = 5rad/sec. (13)

BTL 1

Remembering

6. Sketch the polar plot and find the gain and phase margin of a

control system has G(s) =

with unity

feedback. (13)

BTL 1

Remembering

7. Discuss a suitable lead compensator for a system with

G(S) =

to meet the specifications.

(i) Kv ≥ 0 sec -1 (ii) Natural frequency, wn=12 rad/sec

(iii) % peak overshoot, Mp=9.5% (13)

BTL2 Understanding

8. A Unity feedback system has an open loop transfer function,

G(s) =

Select a suitable lag compensator so that

phase margin is 40° and the steady state error for ramp input is

less than or equal to 0.2. (13)

BTL4 Analyzing

( )(1 0.5 )(1 4 )

KG S

S S S

9. Conclude a Lead Compensator for a Unity feedback System

with Open loop transfer function

to Satisfy the following

Specifications.

i) Velocity error Constant, Kv ≥

ii) Phase Margin i ≥ degrees. (13)

BTL 5 Evaluating

10. Analyse and explain in detail the procedure for Nichol’s chart

with M and N circles. (13)

BTL4 Analyzing

11. Develop the detailed notes on following:

(i) Frequency domain specification. (3)

(ii) Derive any two frequency domain specification

parameters. (10)

BTL3 Applying

12. For the

, Show the value of

phase and gain margin using bode plot. (13)

BTL2 Understanding

13. Report the value of gain and phase cross over frequencies for

the following function using bode plot.

(13)

BTL4 Analyzing

14. (i) Write short notes on series compensation. (3)

(ii) Write down the procedure for designing lead

compensator using bode plot. (10) BTL 1

Remembering

PART-C

1. Consider a Unity feedback system has an open loop transfer

function,

Apply the polar

plot and determine the value of k so that

(i)gain margin is 18db (7)

(ii)phase margin is 60 degrees. (8)

BTL5 Evaluating

2. Unity feedback control system having

Design a lead compensator such that

the closed loop system will satisfy the following specification

(i) % Peak Overshoot=12.63 %

(ii) Natural frequency of oscillation, =8 rad/sec

(iii)Kv≥2.5. (15)

BTL6

Creating

3. (i)Discuss briefly about the lag and lag-lead compensators with

examples. (7)

(ii) Apply the Polar plot for

(8)

BTL6 Creating

4. Evaluate the stability of the unity feedback system

using bode plot. (15)

BTL 5 Evaluating

UNIT-4 STABILITY ANALYSIS

Stability, 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

PART A

Q.No Questions BT

Level

Domain

1. Identify any two limitations of Routh-stability criterion. BTL 3 Applying

2. Point out the advantages of Nyquist stability criterion over

that of Routh’s criterion.

BTL 3 Applying

3. Explain stability of a system. BTL 4 Analyzing

4. State Nyquist stability criterion. BTL2 Understanding

5. Assess the advantages of Routh Hurwitz stability criterion. BTL 5 Evaluating

6. What is the advantage of using root locus for design? BTL 1 Remembering

7. Express the rules to obtain the breakaway point in root locus. BTL 2 Understanding

8. Describe BIBO stability Criterion. BTL 2 Understanding

9. Define Centroid? BTL1 Remembering

10. Recall about Root locus Method? BTL 1 Remembering

11. Illustrate the necessary and sufficient condition for stability. BTL2 Understanding

12. Name the effects of addition of open loop poles? BTL 1 Remembering

13. Elaborate the Parameters which constitute frequency domain

Specifications

BTL 6 Creating

14. Define characteristic equation. BTL1 Remembering

15. In routh array what conclusion you can make when there is a

row of all zeros

BTL 5 Evaluating

16. Relate roots of characteristic equation to stability. BTL 3 Applying

17. Examine dominant pole. BTL 4 Analyzing

18. Compare the regions of root locations for stable, unstable

and limitedly stable systems.

BTL 4 Analyzing

19. Mention asymptotes. How will you find the angle of

asymptotes?

BTL1 Remembering

20. Using Routh Criterion, design the stability of the system

represented by the characteristic equation

s4+8s3+18s2+16s+5=0.

BTL 6 Creating

PART –B PART –B

1. Using Routh criterion,

(i) Investigate the stability of a unity feedback control system

whose open-loop transfer function is given by

G(s) =

(7)

(ii) Investigate the stability Closed loop control system has

the characteristics equation

. (6)

BTL 6 Creating

2. (i) Discuss the stability of a system with characteristics

equation using Routh

Hurwitz criterion. (7)

(ii)Explain the rules to construct a root locus . (6)

BTL 2

Understanding

3. Determine the range of K for stability of unity feedback

system whose OLTF is

G(s) =

using RH criterion. (13)

BTL 5

Evaluating

4.

(i) Draw the root locus of the G(s)=

2

k s 2

s 2s 3

whose H(s)

= 1. Determine open loop gain k at = 0.7. (7)

(ii) Determine the range of K for which system is stable using

RH Criterion . (6)

BTL 1

Remembering

5. (i)Sketch the root locus of the system whose open loop

transfer function is

. Find the value of K so

that the damping ratio of the Closed loop system is 0.5. (7)

(ii) Determine the range of values of K for stability of unity

feedback system, using Routh stability Criterion whose

Transfer function

. (6)

BTL1 Remembering

6. (i) Express the mathematical preliminaries for nyquist

stability criterion. (6)

(ii) Explain the procedure for Nyquist Stability Criterion. (7)

BTL4

Analyzing

7. (i) Interpret Routh array and determine the stability of the

system whose characteristic equation is

. Comment on the

location of the roots of Characteristic equation. (8)

(ii) Summarize the rules used for construction of the Root

Locus of a feedback system. (5)

BTL2

Understanding

8. Label the Root Locus of the System whose open loop transfer

function is G(S) =

Determine the Value of K

for Damping Ratio equal to 0.5. (13)

BTL 1 Remembering

9. Demonstrate the Nyquist plot for a system, whose Open loop

transfer function is given by G(S) H(S) =

Find

the range of K for stability. (13)

BTL3 Applying

10. Analyze the Nyquist plot for the System whose open loop

transfer function is G(s) H(s) =

Determine the range of K for which the closed loop System is

Stable. (13)

BTL4

Analyzing

11. (i)Using Routh Hurwitz criterion determine the stability of a

system representing the characteristic equation

, and

comment on location of the roots of the characteristic

equation. (7)

(ii)Describe about nyquist contour and its various segments.

(6)

BTL3

Applying

12. (i) Examine the open loop gain for a specified damping of the

dominant roots. (8)

(ii)Point out the concepts BIBO stability. (5)

BTL 4 Analyzing

13. (i)Compare relative stability with absolute stability. (6)

(ii) Explain briefly about the steps to be followed to construct

am root locus plot of a given transfer function. (7)

BTL2 Understanding

14. (i)Write detailed notes on relative stability with its roots of S-

plane. (8)

(ii)State and explain about different cases of Routh Hurwitz

criterion. (5)

BTL 1 Remembering

PART-C PART-C

1. A unity feedback control system has an open loop transfer

function

Determine the location of

poles using root locus. (15)

BTL 5 Evaluating

2. .Find

the location of roots on S-plane and hence the stability of the

system. (15)

BTL 6 Creating

3. The open loop transfer function of a unity feedback system is

given by

.Sketch the root locus of

the system and the evaluate the system stability with respect

to their location of poles. (15)

BTL 5 Evaluating

4. Design the system using Nyquist plot

Determine the range of values

of K for which the system is stable. (15)

BTL 6 Creating

UNIT V STATE VARIABLE ANALYSIS

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 – Sampler & Hold – Open loop & Closed loop sampled data systems.

PART – A

Q.No Questions BT Level Competence

1. Name the methods of state space representation for phase

variables. BTL 1 Remembering

2. What is meant by quantization? BTL 1 Remembering

3. Write the properties of State transition matrix? BTL 1 Remembering

4. Determine the controllability of the system described by the

state equation. BTL 5 Evaluating

5. Evaluate modal matrix . BTL5 Evaluating

6. List the advantages of Sate Space representations? BTL 1 Remembering

7. Describe State and State Variable. BTL2 Understanding

8. Define State equation. BTL 1 Remembering

9. Analyze the concept of Controllability. BTL 4 Analyzing

10. Summarize Sampled –data Control System. BTL 2 Understanding

11. Mention the advantages of State Space approach? BTL 2 Understanding

12. Explain Alias in sampling process? BTL4 Analyzing

13. State sampling theorem. BTL 1 Remembering

14. Elaborate the need for State variables. BTL 6 Creating

15. Illustrate Observability of the System. BTL 3 Applying

16. Design the Nyquist contour for the Pole which lie at origin BTL 6 Creating

17. Illustrate closed loop sampled data systems. BTL3 Applying

18. Analyze the term Compensation. BTL 4 Analyzing

19. Examine Open loop sampled data systems. BTL3 Applying

20. Distinguish type and order of the system. BTL 2 Understanding

PART B

1. Explain the stability analysis of sampled data control systems.

(13) BTL 4 Analyzing

2. Mention in detail a state space representation of a continuous

time systems and discrete time systems. (13) BTL 1 Remembering

3. Determine the z-domain transfer function for the following s-

domain transfer function for the following s-domain transfer

functions.

i)

(4)

ii)

(5)

iii)

(4)

BTL 5 Evaluating

4. Apply the necessary equations to obtain the Z-transform of

following discrete time sequences.

i)

(5)

ii)

(4)

iii)

(4)

BTL 3

Applying

5. A system is represented by State equation = AX+BU;

Y=CX Where

A=

, B=

and C= . Determine the

Transfer function of the System. (13)

BTL 4

Analyzing

6. A System is characterized by the Transfer function

=

. Express whether or not the

system is completely controllable and observable and Identify

the first state as output . (13)

BTL 2

Understanding

7. Test the controllability and observability of the system by any

one method whose state space representation is given as

(13)

BTL 3

Applying

8. i) Develop the Transfer function of the matrix from the data

given below

A=

B= C= D=[ 0] (5)

ii) The Transfer function of a Control System is given by

=

and plan the controllability

of the system. (8)

BTL6

Creating

9. Mention the Transfer Function of the system. The State Space

representation of a System is given below

=

+ u

Y=

(13)

BTL1

Remembering

10. i) Find the response to unit step input for the sampled data

control system where G(s)=

(8)

ii) Obtain the transfer function model for the following state

space system.

(5)

BTL2

Understanding

11. Examine how controllability and observability for a system

can be tested, with an example. (13) BTL4 Analyzing

12. Write the functional modules of closed loop sampled system

and compare its performance with open loop sampled data

system. (13)

BTL1 Remembering

13. i)State and explain sampling theorem (3)

ii)A discrete system is defined by the difference equation

y(0)=y(1)=0; T=1 sec

Define the state mode in canonical form.Draw the block

diagram. (10)

BTL1 Remembering

14.

i)Obtain the state model of the system described by the

following transfer

(8)

ii)Express the state transition matrix for the state model

whose system matrix A is given by

A =

(5)

BTL2

Understanding

PART C

1. i)Construct a state model for a system characterized by the

differential equation

(7)

ii)The input-output relation of a sampled data system is

described by the equation

.

Derive the z- transfer function. Also obtain the weighting

sequence of the system. (8)

BTL6 Creating

2. Determine the state model of field controlled dc motor and

armature controlled dc motor. (15) BTL5 Evaluating

3. Check for stability of the sampled data control systems

represented by the following characteristic equation.

(a) (5)

(b) (5)

(c) (5)

BTL6 Creating

4. i) Evaluate the frequency response characteristics of zero

order holding device. (8)

ii) Estimate the analysis of systems with impulse

Sampling. (7)

BTL5 Evaluating