Project ForgeInstrumentation & Process Control
Controller Modes
GATE 2014
Medium
A unit IMPULSE response of a first order system with time constant τ and steady state gain Kp is given by
- A(1/(Kpτ))e^(t/τ)
- BKp·e^(−t/τ)
- CτKp·e^(−t/τ)
- (Kp/τ)e^(−t/τ)
Explanation
G(s)=Kp/(τs+1). For a unit impulse input, X(s)=1, so Y(s)=Kp/(τs+1)=(Kp/τ)/(s+1/τ). Inverse Laplace: y(t)=(Kp/τ)e^(−t/τ).
Source: GATE CH 2014 (2014)
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