ELEC4632 : Computer Control Systems - S2 2012
Mid-term Test
Question 1 (6marks)
Find discrete time pulse transfer function of the following sampled system for sampling interval
h = 0.1 and a = 1
Figure 1: Sampled system
Solution:
K
K(1 ehs )
1 ehs
= 2
s
s
QUESTION 1
(12 marks)
a) Derive the discrete time system corresponding to the following continuous time system
when a zero-order-hold circuit is used:
du
d2 y dy
6y = 12
6u
2
dt
dt
dt
(4 marks)
b) Derive the discrete time state space model if the follow
ELEC4632 : Computer Control Systems - S2 2012
Mid-term Test
QUESTION 1
(6 marks)
Find discrete time pulse transfer function of the following sampled system for sampling interval
h = 0.1 and a = 1
Figure 1: Sampled system
QUESTION 2
(4 marks)
Check the sta
Question 6 ('7 marks)
Consider a linear discretetime system and a quadratic cost function. Assume that the control
input is required to satisfy a constraint of the form:
luch 5 A. Show that if, in the solution to
the optimal control problem, only the rst
7H El Que-ITIOIl/J
%
/Question 1 (6 marks)
Explain what is sampling creates new frequencies phenomenon in digital control.
/Question 2 (7 marks)
Given the system
2.5 7.0 2
k+1 = k k,
x( ) (417 0.85 )d (0%
Design deadbeat output feedback-feedback controlle