Gujarat Technological University 2010 M.E Digital Control - Question Paper
Seat No.: Enrolment No.
GUJARAT TECHNOLOGICAL UNIVERSITY M.E Sem-II Examination July 2010 Subject code:720301 Subject Name: Digital Control
Date: 05 /07 /2010 Time: 11.00am - 1.30pm
Instructions: Total Marks: 60
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
(a) Discuss Internal Model Principle for Robustness in detail
Q.1
06
06
k
tS +1
(b)
(a)
(b)
(b)
(a)
(b)
Find the ZOH equivalent of (i) -2 (ii) S (iii)
s2 PID
Determine the discrete time continuous time PID settings:
K = 2, td = 2.5sec,t;- = 40sec, Ts = 1sec
Give explanation on Model Predictive Control
OR
Give detailed interpretation of the prediction error model (ARMAX)
Discuss 1-DOF, 2-DOF and feedforward control structures
Draw the Nyquist plot of G(Z) = 1 and find out for what values of K
Z (z -1)
(gain) the system becomes unstable.
OR
controller if we have the following 06
Q2
06
06
06
06
Q.3
Q.3 (a) Give explanation on Dead-Beat and Dahlin Control.Design a Dead-Beat 06
Z -2
controller for G(Z) =
-1
1-Z
Discuss the time response specifications for digital control system Draw a schematic of Smith predictor and give the analysis of it.
Design an IMC (Internal Model Control) for the open loop plant transfer
function G(Z) =-007506IZ:1(|-|334Z-1>
(1-0.7995Z-1)(1-0.7863Z-1)
OR
Discuss IMC (Internal Model Control) design for Stable Plants Determine the IMC equivalent conventional controller for plant having open
(b)
(a)
(b)
06
06
06
Q.4
Q.4
(a)
(b)
06
06
[0.51+1.21Z-1
loop transfer function G(Z) = Z-
-1
1-0.44Z
Draw the schematic of 2-DOF pole placement controller and give controller design analysis with performance specification
Why it is required to redefine good and bad polynomials during the pole placement controller design ?
Design a pole placement controller for plant transfer function
Q.5 (a) (b)
06
06
0.0288+0.0265Z-1 1-1.7788Z-1 + 0.7788Z-2
G(Z) = Z-1
sampling time Ts is chosen as 0.25 sec.
Required rise time is 3 sec and overshoot is not more than 5% for a step change in the command signal.
OR
What is meant by internal stability? Discuss it. How internal stability ensures controller realizability ?Suppose we want the closed loop transfer function
Q.5 (a)
06
1 1- aZ
for plant G = Z-0z-1 Find out controller T.F.Is it
T = Z-1
-1
realizable?
(b) Discuss the open loop and closed loop methods of Auto tuning of PID 06 controller. Draw the flow chart for implementation of online digital controller.
*************
|
Attachment: |
| Earning: Approval pending. |
