The GATE Grind

GATE Control Systems: Transient and Steady-State Analysis of LTI Systems – Previous Year Questions

8 GATE previous year questions on Transient and Steady-State Analysis of LTI Systems (Control Systems, Electronics and Communication Engineering) with answers and explanations, from every paper.

  1. GATE 2017 EC Q28 (1 mark, Numerical answer) – The open loop transfer function G(s) = (s + 1)sp(s + 2)(s + 3) where p is an integer, is connected in unity feedback configuration as shown in the…
  2. GATE 2016 EC Q56 (2 marks, Numerical answer) – The open-loop transfer function of a unity-feedback control system is given by G(s) = Ks(s + 2) For the peak overshoot of the closed-loop system to a…
  3. GATE 2019 EC Q41 (2 marks, Multiple choice) – Consider a causal second-order system with the transfer function G(s)=11+2s+s2 with a unit-step R(s)=1s as an input. Let C(s) be the corresponding…
  4. GATE 2020 EC Q65 (2 marks, Numerical answer) – Consider the following closed loop control system where G(s)=1s(s+1) and C(s)=Ks+1s+3. If the steady state error for a unit ramp input is 0.1, then…
  5. GATE 2022 EC Q50 (2 marks, Multiple select) – Two linear time-invariant systems with transfer functions G 1(s)=10s2+s+1and G 2(s)=10s2+s10+10 have unit step responses y 1(t) and y 2(t),…
  6. GATE 2022 EC Q60 (2 marks, Numerical answer) – The block diagram of a closed-loop control system is shown in the figure. R(s), Y(s), and D(s) are the Laplace transforms of the time-domain signals…
  7. GATE 2023 EC Q41 (2 marks, Multiple choice) – A closed loop system is shown in the figure where k>0 and >0. The steady state error due to a ramp input (R(s)=/s2) is given by
  8. GATE 2024 EC Q13 (1 mark, Multiple choice) – In the feedback control system shown in the figure below, G(s)=6s(s+1)(s+2). R(s), Y(s), and E(s) are the Laplace transforms of r(t), y(t), and e(t),…