MEHRAN UNIVERSITY OF ENGINEERING AND TECHNOLOGY, JAMSHORO SECOND TERM THIRD YEAR (6TH TERM) B.E (ELECTRONICS) SUPPLEMENTARY EXAMINATION 2005 OF 98-2K BATCHES UNDER EXTERNAL SYSTEM.

Control Engineering-II Dated: Time Allowed: 03 Hours Max: Marks-75 NOTE: Attempt any five questions. All questions carry equal marks. Q. No.01

(a) What is root locus? Why it is used? And summarize the steps for [07] constructing the root loci. (b) Sketch the root-locus plot of the system shown in the figure [08] below. K R(S) C(S) S(S+1)(S+2) -

Q. No.02

Q. No.03

Determine the points where the root loci cross the imaginary [07] axis. Characteristic equation of the system is: S3+3S2+2S+K=0 [08] (b) Define the following terms: 1. Angle of departure 2. Angle of arrival 3. Angle of Asymptotes 4. Break away point Consider the system shown in figure below. [15] (a)

R(S)

-

4 S(S+2)

C(S)

The feed forward transfer function is 4 G(S) = S(S+2) The damping ratio of closed loop poles is 0.5. The undamped natural frequency of the closed loop poles is 2 rad/sec. the static velocity error constant is 2 sec-1. It is desired to modify the closed loop poles so that an undamped natural frequency ωn=4 rad/sec is obtained without changing the value of damping ratio (ζ).

Q. No.04

(a)

What do you mean by compensation. Describe the three types of [07] compensation?

(b) What is PID controller? Describe its advantages disadvantages? Also drive the transfer of PID controller. Q.No.05

(a)

What is controllability and observability of control systems?

(b)

Determine the controllability and observability of the following [12] system. 1 1 2 1 A=

C = Q.No.06

(a)

0

1

-3

1

1

2

1

1

0

B=

Q.No.08

[03]

1 1

D = 0

Consider the function shown below: y(t) = e(-at+T) u(t) Obtain the z-transform of the function.

(b) Find the inverse z-transform of the following function. Y(z) = (1-e-at)z/(z-1)(z-e-at)

Q.No.07

and [08]

[04]

[04]

(c)

Consider the second order discrete data system. The impulse [07] response of the system is given below y(k) = x(k+2)+0.5 x(k+1)+0.2x(k) Determine the transfer function Y(z)/X(z)of the system.

(a)

Describe the procedure of digital implementation of continuous [12] time PID controller.

(b)

Describe the stability criteria in z-plane.

[03]

Write short notes on any three of the following.

[15]

1. 2. 3. 4. 5.

Mapping between S-plane and Z-plane Linearization of non-linear systems Ziegler-Nichol’s tuning rules Optimal control system (design and analysis) Common physical non-linearities

mehran university of engineering & technology, jamshoro

The feed forward transfer function is. The damping ratio of closed loop poles is 0.5. The undamped natural frequency of the closed loop poles is 2 rad/sec. the ...

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