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Sri Lanka Institute of Information
Technology
B.SC Eng. Department of Electrical and Computer
Engineering
Faculty of Engineering
Control Systems (EC !"#
La$ "%&Transfer Function
'ame Dadigamu)a *.+
Inde, 'o E'%!-/
0roup 'o/
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Task1
This task was done using this code:
2.
Exercise 1
1.
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The real part of poles of the function is positive.Therefore the
system is unstable.According to
ole!"ero #ap the poles are situated in the right side of the
plane therefore the system is
unstable.
2.
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The poles are situated in the imaginary axis.Therefore the
system is marginally stable.
$.
.
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The poles have positive real part therefore the system is
unstable.
Exercise 2
1.
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2.
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$.
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Exercise $
1.
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2.
%
$.
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Exercise &
1.Transient response of a system is response of a system to a
change from e'uilibrium.(teady
state response is the response that can be achieved in the
e'uilibrium state of the control system.
2.
T1)s*!The poles in the transfer function is in left side of the
pole +ero plot.Therefore the system is
stable .
oles are as follows:
!2,-.i / !2!-.i
Transfer function for poles
G (S )=1
S2
+4 S+4.25
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This system is much more stable .There is no overshoot in the
system.
T2)s*:The poles are in the left side of the pole +ero plot
.Therefore the system is stable.
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oles are:
)!1,1i*/)!1!1i*
The Transfer function :
G (S )=1
S2+2 S+2
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0n this system the step response slightly overshoot therefore
the system is much more stable.
T$)s*:The poles are in the imaginary axis of the pole +ero plot
.Therefore the system is marginally
stable.
oles:)2i/!2i*
The transfer function:
G (S )=1
S2+4
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This marginally stable system is oscillating until 2-s.The rise
time and the
T&)s*:ne pole has a positive value in the real axis
.Therefore the system is unstable.
oles:)-./!-.*
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The system is oscillating and the system is unstable.
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3.The time responseTransient response,(teady state response
3hen the )damping ratio* ε1
The rise time increases but the settling time decreases than
critically damped case but the ε is
in polynomial function in rise time therefore the time response
will be increased gradually more
than other cases.
