Exam Details
| Subject | Advanced Control System | |
| Paper | ||
| Exam / Course | B.Tech. VIEP- Electrical Engineering III (BTCSVI/BTECVI/BTELVI) | |
| Department | School of Engineering & Technology (SOET) | |
| Organization | indira gandhi national open university | |
| Position | ||
| Exam Date | June, 2016 | |
| City, State | new delhi, |
Question Paper
No. of Printed Pages: 4 IBIEEE-017I
B.Tech. -VIEP -ELECTRICAL ENGINEERING (BTELVI)
Term-End Examination 00936
June, 2016
BIEEE-017 ADVANCED CONTROL SYSTEM
Time: 3 hours Maximum Marks: 70
Note: Attempt any five questions. All questions carry equal marks. Symbols used have their usual meaning. Use of scientific calculator is permitted.
1. Determine the solution of state model
Ax Bu, y Cx
Also draw the block diagram for the given state model. 7
Consider the following transfer function:
2s^2 6s 7 2)
Represent it in Jordan Canonical form. 7
2. The dynamic equations of a system are given as
x 0 1 x1 1 x1
u and 0]
-2 x2 -1 x2
Test the controllability and the observability of the system. 7
Explain the procedure for designing state observer. 7
3. Find out the response of the system described by the difference equation
x(k 7
Given that 0 and 1.
Explain the bilinear transformation with its significance. 7
4. Discuss the concept of Lyapunov's first and second method of stability theorems. 7
Determine whether the following quadratic form is positive definite: 7
Q(x1,x2,x3) =10x1^2 4x2^2 x3^2 2x1x2 4x2x3 4x1x3.
5. Explain self-tuning regulators in detail. 7
Verify that for the backlash non-linearity as shown in figure the describing function N in case sinusoidal input is given by <img src='./qimages/10960-5b.jpg'> angle(tan^-1) B1/A1 for b/2.
Also sketch the curve y vs wt.
6. Find out the singular points for the following system:
y 3y 2y=0
Sketch the phase portrait. 7
Discuss the stability criteria in terms of describing function. 7
7. State and explain the optimality principle and principle of invariant imbedding. 7
State the two point boundary value problem and give its solution in terms of Euler-Lagrange equation. 7
8. What do you understand by Adaptive Control Explain the features of Model Reference Adaptive Control. 7
Draw the block diagram of simple fuzzy logic control system and explain the various blocks. 7
B.Tech. -VIEP -ELECTRICAL ENGINEERING (BTELVI)
Term-End Examination 00936
June, 2016
BIEEE-017 ADVANCED CONTROL SYSTEM
Time: 3 hours Maximum Marks: 70
Note: Attempt any five questions. All questions carry equal marks. Symbols used have their usual meaning. Use of scientific calculator is permitted.
1. Determine the solution of state model
Ax Bu, y Cx
Also draw the block diagram for the given state model. 7
Consider the following transfer function:
2s^2 6s 7 2)
Represent it in Jordan Canonical form. 7
2. The dynamic equations of a system are given as
x 0 1 x1 1 x1
u and 0]
-2 x2 -1 x2
Test the controllability and the observability of the system. 7
Explain the procedure for designing state observer. 7
3. Find out the response of the system described by the difference equation
x(k 7
Given that 0 and 1.
Explain the bilinear transformation with its significance. 7
4. Discuss the concept of Lyapunov's first and second method of stability theorems. 7
Determine whether the following quadratic form is positive definite: 7
Q(x1,x2,x3) =10x1^2 4x2^2 x3^2 2x1x2 4x2x3 4x1x3.
5. Explain self-tuning regulators in detail. 7
Verify that for the backlash non-linearity as shown in figure the describing function N in case sinusoidal input is given by <img src='./qimages/10960-5b.jpg'> angle(tan^-1) B1/A1 for b/2.
Also sketch the curve y vs wt.
6. Find out the singular points for the following system:
y 3y 2y=0
Sketch the phase portrait. 7
Discuss the stability criteria in terms of describing function. 7
7. State and explain the optimality principle and principle of invariant imbedding. 7
State the two point boundary value problem and give its solution in terms of Euler-Lagrange equation. 7
8. What do you understand by Adaptive Control Explain the features of Model Reference Adaptive Control. 7
Draw the block diagram of simple fuzzy logic control system and explain the various blocks. 7
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