Exam Details
| Subject | Digital Control System Design | |
| Paper | ||
| Exam / Course | Diploma -VIEP-Electrical Engineering (DELVI)/Advanced Level Certificate Course In Electrical Engineering (ACELVI) | |
| Department | School of Engineering & Technology (SOET) | |
| Organization | indira gandhi national open university | |
| Position | ||
| Exam Date | December, 2016 | |
| City, State | new delhi, |
Question Paper
No. of Printed Pages:41BIEEE-Oool
B.Tech. -VIEP -ELECTRICAL ENGINEERING
(BTELVI)
Term-End Examination
December, 2016
0024...5
BIEEE-009 DIGITAL CONTROL SYSTEM DESIGN
Time: 3 hours Maximum Marks: 70
Note: Attempt any seven questions. All questions carry equal marks.
(iii) Symbols used have their usual meaning.
1. What is linear discrete time system Define the stability of a discrete time system. 5
Determine the z-transform function of the system shown in the Figure . <img src='./qimages/11237-1b.jpg'> <br>
Also determine whether or not the system is stable.
2. Explain the difference between Zero order hold and First order hold. 5
Prove that if the impulse response of the continuous time systems and discrete time systems has to be matched, then z where T is the sampling period. 5
3. Why should a hold device follow a sampler while converting a continuous changing function into sampled form? 5
Determine the range of values of the sampling time T for which the system shown in Figure will bestable. 5 <img src='./qimages/11237-3b.jpg'> <br>
4. Determine the characteristic equation of the system shown below in z-domain. Ascertain the stabillity using a bilinear transformation and Routh array. <img src='./qimages/11237-4.jpg'> <br>
5. The digital compensator of a closed-loop computer control system is described by the difference equation
e2(k a
The state variable model of the system is given by
x=Ax bu
y=cx
0 1 0
with A= ; b ; c 1 0 ]
0 -1 1
Obtain the discrete time state model for the system. 10
6. State Cayley-Hamilton theorem. 5
0 1
Given the matrix F =
-1 -2
Determine using Cayley-Hamilton technique. 5
7. Consider the system
x(k g
0 1 0 1
with F ; g and -0 -3 1 1
Find the closed form solution for for k 1. 10
8. Explain when a linear system is said to be completely controllable and completely observable. 5
The transfer function of an oscillator system is given by
w^2 w^2)
Show that both controllability and observability are lost for wT nt, where n ... and T is the sampling period. 5
9. Write short notes on any two of the following: 2x5=10
Advantages and disadvantages of digital control system Simulation diagram for discrete version Routh Stability Criterion Pole Placement Design
B.Tech. -VIEP -ELECTRICAL ENGINEERING
(BTELVI)
Term-End Examination
December, 2016
0024...5
BIEEE-009 DIGITAL CONTROL SYSTEM DESIGN
Time: 3 hours Maximum Marks: 70
Note: Attempt any seven questions. All questions carry equal marks.
(iii) Symbols used have their usual meaning.
1. What is linear discrete time system Define the stability of a discrete time system. 5
Determine the z-transform function of the system shown in the Figure . <img src='./qimages/11237-1b.jpg'> <br>
Also determine whether or not the system is stable.
2. Explain the difference between Zero order hold and First order hold. 5
Prove that if the impulse response of the continuous time systems and discrete time systems has to be matched, then z where T is the sampling period. 5
3. Why should a hold device follow a sampler while converting a continuous changing function into sampled form? 5
Determine the range of values of the sampling time T for which the system shown in Figure will bestable. 5 <img src='./qimages/11237-3b.jpg'> <br>
4. Determine the characteristic equation of the system shown below in z-domain. Ascertain the stabillity using a bilinear transformation and Routh array. <img src='./qimages/11237-4.jpg'> <br>
5. The digital compensator of a closed-loop computer control system is described by the difference equation
e2(k a
The state variable model of the system is given by
x=Ax bu
y=cx
0 1 0
with A= ; b ; c 1 0 ]
0 -1 1
Obtain the discrete time state model for the system. 10
6. State Cayley-Hamilton theorem. 5
0 1
Given the matrix F =
-1 -2
Determine using Cayley-Hamilton technique. 5
7. Consider the system
x(k g
0 1 0 1
with F ; g and -0 -3 1 1
Find the closed form solution for for k 1. 10
8. Explain when a linear system is said to be completely controllable and completely observable. 5
The transfer function of an oscillator system is given by
w^2 w^2)
Show that both controllability and observability are lost for wT nt, where n ... and T is the sampling period. 5
9. Write short notes on any two of the following: 2x5=10
Advantages and disadvantages of digital control system Simulation diagram for discrete version Routh Stability Criterion Pole Placement Design
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Subjects
- Basics of Electrical Engineering
- C - Programming
- Computer Applications In P.S.
- Control Systems
- Digital Control System
- Digital Control System Design
- Dynamics System Simulation
- Electrical Circuit Theory
- Electrical Engineering Material
- Electrical Installation and System
- E l e c t r i c a l M a c h i n e T h e o r y I I
- Electrical Machines-I
- Electrical Measurements And Instruments
- Electrical Power Transmission and Distribution
- Energy Audit
- Flexible Ac Transmission System
- Industrial Drives and Controls
- Mechatronics
- Power Generation System
- Power Plant Economics And Centering
- Power System Reliability
- Principles of Computer Architecture
- Special Electrical Machines
- Switchgear And Protection
- Utilization Of Electrical Engineering