GATE Control Systems: Transient and Steady-state analysis of linear time invariant systems – Previous Year Questions
16 GATE previous year questions on Transient and Steady-state analysis of linear time invariant systems (Control Systems, Electrical Engineering) with answers and explanations, from every paper.
- GATE 2017 EE Q16 – The transfer function of a system is given by V o(s)V i(s) = 1 - s1 + s. Let the output of the system be v o(t) = V m( t + ) for the input, v i(t) = V…
- GATE 2017 EE Q60 – For a system having transfer function G(s) = -s + 1s + 1, a unit step input is applied at time t = 0. The value of the response of the system at t =…
- GATE 2016 EE Q16 – The transfer function of a system is Y(s)R(s) = ss + 2. The steady state output y(t) is A (2t + ) for the input (2t). The values of A and ,…
- GATE 2018 EE Q19 – Match the transfer functions of the second-order systems with the nature of the systems given below. P: 15s2+5s+15, Q: 25s2+10s+25, R: 35s2+18s+35 I:…
- GATE 2018 EE Q35 – Consider a unity feedback system with forward transfer function given by G(s)=1(s+1)(s+2). The steady-state error in the output of the system for a…
- GATE 2018 EE Q56 – The unit step response y(t) of a unity feedback system with open loop transfer function G(s)H(s)=K(s+1)2(s+2) is shown in the figure. The value of K…
- GATE 2019 EE Q23 – The output response of a system is denoted as y(t), and its Laplace transform is given by Y(s)=10s(s2+s+1002). The steady state value of y(t) is
- GATE 2021 EE Q56 – Consider a closed-loop system as shown. G p(s)=14.4s(1+0.1s) is the plant transfer function and G c(s)=1 is the compensator. For a unit-step input,…
- GATE 2021 EE Q57 – In the given figure, plant G p(s)=2.2(1+0.1s)(1+0.4s)(1+1.2s) and compensator G c(s)=K(1+T 1s1+T 2s). The external disturbance input is D(s). It is…
- GATE 2022 EE Q39 – The damping ratio and undamped natural frequency of a closed loop system as shown in the figure, are denoted as and n, respectively. The values of and…
- GATE 2023 EE Q14 – Consider a unity-gain negative feedback system consisting of the plant G(s) (given below) and a proportional-integral controller. Let the proportional…
- GATE 2024 EE Q21 – Consider the standard second-order system of the form n2s2+2 ns+ n2 with the poles p and p* having negative real parts. The pole locations are also…
- GATE 2024 EE Q22 – Consider the cascaded system as shown in the figure. Neglecting the faster component of the transient response, which one of the following options is…
- GATE 2024 EE Q58 – Consider the stable closed-loop system shown in the figure. The asymptotic Bode magnitude plot of G(s) has a constant slope of -20 dB/decade at least…
- GATE 2025 EE Q22 – Selected data points of the step response of a stable first-order linear time-invariant (LTI) system are given below. The closest value of the…
- GATE 2026 EE Q13 – The Laplace transform of the step response of a system is given by Y(s)=100s(s+100) The rise time is defined as the time taken for the response to go…