DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING Semester/EC6405-Control... · DEPARTMENT OF...
Transcript of DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING Semester/EC6405-Control... · DEPARTMENT OF...
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