The GATE Grind

GATE Control Systems: Time response and steady-state error – Previous Year Questions

6 GATE previous year questions on Time response and steady-state error (Control Systems, Instrumentation Engineering) with answers and explanations, from every paper.

  1. GATE 2021 IN Q19 (1 mark, Multiple select) – A circuit’s step response oscillates, with oscillations dying down after some time. Which inferences about its input–output transfer function are…
  2. GATE 2021 IN Q56 (2 marks, Numerical answer) – A system G(s)=2/(s+1) receives a unit step u(t) and produces y(t). Define e(t)=y(t)-u(t). Then te(t) is .
  3. GATE 2022 IN Q41 (2 marks, Multiple choice) – A PID controller stably controls P(s)=1/[(s+1)(s+2)]. Its proportional gain is increased by factor 2, integral gain by factor 3, and derivative gain…
  4. GATE 2024 IN Q44 (2 marks, Multiple choice) – For the feedback control system shown, the steady-state error e ss= t[r(t)-y(t)] due to a unit-step reference r(t) is
  5. GATE 2024 IN Q45 (2 marks, Multiple choice) – A system has G(s)= n2/(s2+2 n s+ n2). Choose the ranges of and n (rad/s) such that its poles lie in the shaded region of the s-plane shown.
  6. GATE 2026 IN Q59 (2 marks, Numerical answer) – A linear time-invariant (LTI) system has transfer function G(s)=10(s+1)s(s2+2s+5). The system is placed in a unity negative-feedback configuration.…