University of Houston Department of Electrical and Computer
Engineering
ECE 4115
Homework #2
(Due Mar 25th, 2005)
1. Find the time response of the output
( )y t
of the system in the factored
from
2
2
( 5)( 1)
( ) ( 1)( 2) ( 3)
s s
G s s s s
Subject to input
( ) sinu t t
for
0t
. Also draw a plot of the poles and zeros
in the s-plane.
(Use: t = 0:0.1:20)
2. Find the poles of the transfer function
3 2
1.5 1
( ) 2 2.5 0.5
s
G s s s s
And determine whether the system is stable. Plot the poles and zeros of G(s)
in the s-plane. Finally, demonstrate the system stability by simulating
impulse response.
3. The transfer function of a fixed linear system is
3 2
3 2
( ) 2 4 5 1
s
G s s s s
Perform the partial fraction expansion of G(s) and plot the impulse response
of the system without using “impulse” command.
(Hint: Use t = 0:0.1:25 and
(1) (2 ) (3)
( ) (1) (2) (3)
p t p t p t
y t r e r e r e
)