Project ForgeInstrumentation & Process Control
Controller Modes
GATE 2020
Medium
A closed-loop system has controller Gc=0.2(1+1/(0.5s)) and process Gp=10/((s+1)(2s+1)), with unity feedback. For a unit step change in the setpoint, the change in the value of the response y at steady state is (round off to 1 decimal place)
1(± 0.1 accepted)
Explanation
Gc contains an integral (1/0.5s) term. With unity feedback and integral action in the loop, the closed-loop system has zero offset for a step setpoint change — the steady-state response exactly tracks the setpoint, so Δy_ss=1.0.
Source: GATE CH 2020 (2020)
This question is part of a 15-day revision cycle — sign in and Project Forge will bring it back the day before you'd forget it.