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GATE EC 2022 Set 1 — Question 60

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NAT+2 / -0MediumBlock Diagram ReductionSystem ModellingControl SystemsSteady-State Error & ConstantsTime-Domain Analysis

Control Systems → System Modelling → Block Diagram Reduction

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Question

The block diagram of a closed-loop control system is shown in the figure. R(s)R(s), Y(s)Y(s), and D(s)D(s) are the Laplace transforms of the time-domain signals r(t)r(t), y(t)y(t), and d(t)d(t), respectively. Let the error signal be defined as e(t)=r(t)−y(t)e(t) = r(t) - y(t). Assuming the reference input r(t)=0r(t) = 0 for all tt, the steady-state error e(∞)e(\infty), due to a unit step disturbance d(t)d(t), is _________ (rounded off to two decimal places).
Block diagram of a closed-loop control system with a disturbance $D(s)$
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