Chemical Engineering > GATE 2025 > Process Modeling
Consider a process with transfer function Gp=2e-s/((5s+1)2)
A first-order plus dead time (FOPDT) model is to be fitted to the unit step process reaction curve (PRC) by applying the maximum slope method.
Let τm and θm denote the time constant and dead time, respectively, of the fitted FOPDT model. The value of τm/θm is ______ (rounded off to 2 decimal places).
GIVEN:
For G=1/(τs+1)2, the unit step output response: y(t)=1-(1+t/τ)e-t/τ
dy(t)/dt = t/τ2 e-t/τ
d2y(t)/dt2 = 1/τ2(1-t/τ)e-t/τ
A first-order plus dead time (FOPDT) model is to be fitted to the unit step process reaction curve (PRC) by applying the maximum slope method.
Let τm and θm denote the time constant and dead time, respectively, of the fitted FOPDT model. The value of τm/θm is ______ (rounded off to 2 decimal places).
GIVEN:
For G=1/(τs+1)2, the unit step output response: y(t)=1-(1+t/τ)e-t/τ
dy(t)/dt = t/τ2 e-t/τ
d2y(t)/dt2 = 1/τ2(1-t/τ)e-t/τ
Correct : 2.72
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