4 Real Poles Step Response
Cuthbert Nyack
The step responses of a 4 pole type 0 and 1 systems are shown in the 3 applets below.
The open and closed loop transfer function for the type 0 system is
G(s) = K/((T1s + 1)(T2s + 1)(T3s + 1)(T4s + 1)),
C(s)/R(s) = K/((T1s + 1)(T2s + 1)(T3s + 1)(T4s + 1) + K))
Since this is a 4 pole system then instability is possible.
The parameter values (0.9, 1.0, 1.0, 1.0, 1.0, 4.0),
(1.2, 2.5, 0.5, 0.5, 1.0, 3.0),
shows the step response
when the type 1 system is unstable. .
The parameter values (4.0, 1.0, 1.0, 1.0, 1.0, 3.0),
(6.2, 2.5, 0.5, 0.5, 1.0, 3.0),
shows the step response
when the type 0 system is unstable. .
Gif image below shows how applet should appear.
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COPYRIGHT © 2006 Cuthbert Nyack.