Page 85 - basic control system
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TRANSIENT RESPONSE
ANALYSIS
1 ′ ′
= = +
(1 + ) 1 + ′
1 1 1
= − = −
1 + 1
( )
Where A’ =1 and B’ –RC
▪ Taking Laplace inverse.
−
= 1 − convert to + form
▪ So,
−
= 1 =
• The transient term is totally dependent on the values of
R and C and its rate of exponential decay will get
controlled by −1 which is pole of the system.
• The values of R and C will not affect the steady state
part.
• The response is purely exponential and as shown in
figure 1(c).
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