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GATE EE 2021 Set 1 — Question 57

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NAT+2 / -0MediumSteady-State Error & Error ConstantsTime-Domain AnalysisControl Systems

Control Systems → Time-Domain Analysis → Steady-State Error & Error Constants

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Question

In the given figure, plant Gp(s)=2.2(1+0.1s)(1+0.4s)(1+1.2s)G_p(s) = \frac{2.2}{(1+0.1s)(1+0.4s)(1+1.2s)} and compensator Gc(s)=K(1+T1s1+T2s)G_c(s) = K \left( \frac{1+T_1s}{1+T_2s} \right). The external disturbance input is D(s)D(s). It is desired that when the disturbance is a unit step, the steady-state error should not exceed 0.1 unit. The minimum value of KK is __________. (Round off to 2 decimal places.)
Block diagram of a closed-loop system with an external disturbance D(s) entering between the compensator Gc(s) and the plant Gp(s)
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