The GATE Grind

GATE Control Systems: Mathematical modelling and representation of systems, Feedback principle, Transfer function, Block diagrams and Signal flow graphs – Previous Year Questions

9 GATE previous year questions on Mathematical modelling and representation of systems, Feedback principle, Transfer function, Block diagrams and Signal flow graphs (Control Systems, Electrical Engineering) with answers and explanations, from every paper.

  1. GATE 2017 EE Q42 (2 marks, Multiple choice) – In the system whose signal flow graph is shown in the figure, U 1(s) and U 2(s) are inputs. The transfer function Y(s)U 1(s) is
  2. GATE 2015 EE Q35 (1 mark, Multiple choice) – For the signal-flow graph shown in the figure, which one of the following expressions is equal to the transfer function Y(s)X 2(s) X 1(s) = 0?
  3. GATE 2015 EE Q63 (2 marks, Multiple choice) – The transfer function of a second order real system with a perfectly flat magnitude response of unity has a pole at (2 - j3). List all the poles and…
  4. GATE 2015 EE Q64 (2 marks, Multiple choice) – Find the transfer function Y(s)X(s) of the system given below.
  5. GATE 2020 EE Q23 (1 mark, Multiple choice) – Which of the options is an equivalent representation of the signal flow graph shown here?
  6. GATE 2020 EE Q44 (2 marks, Multiple choice) – Consider a permanent magnet dc (PMDC) motor which is initially at rest. At t=0, a dc voltage of 5 V is applied to the motor. Its speed monotonically…
  7. GATE 2021 EE Q21 (1 mark, Multiple choice) – For the closed-loop system shown, the transfer function E(s)R(s) is
  8. GATE 2023 EE Q12 (1 mark, Multiple choice) – For the block diagram shown in the figure, the transfer function Y(s)R(s) is
  9. GATE 2024 EE Q20 (1 mark, Multiple choice) – For the block-diagram shown in the figure, the transfer function C(s)R(s) is