Engine Operational
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Q60

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Consider a process with transfer function
G_p = /frac{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 :
G=/frac1((/taus+1)2)G = /frac{1}{((/tau{}s+1)^2)}
The unit step output response:
y(t)=1/frac(1+/fract/tau)et/tauy_{(t)} = 1-/frac{(1+/frac{t}{/tau{}})e^{-ᵗ}}{/tau{}}
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5.643[5.60 to 5.70]

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