GATE Control Systems: Stability analysis using Routh-Hurwitz and Nyquist criteria, Bode plots, Root loci – Previous Year Questions
28 GATE previous year questions on Stability analysis using Routh-Hurwitz and Nyquist criteria, Bode plots, Root loci (Control Systems, Electrical Engineering) with answers and explanations, from every paper.
- GATE 2017 EE Q21 – A closed loop system has the characteristic equation given by s3 + Ks2 + (K + 2)s + 3 = 0. For this system to be stable, which one of the following…
- GATE 2017 EE Q32 – Consider the unity feedback control system shown. The value of K that results in a phase margin of the system to be 30° is . (Give the answer up to…
- GATE 2015 EE Q34 – A Bode magnitude plot for the transfer function G(s) of a plant is shown in the figure. Which one of the following transfer functions best describes…
- GATE 2015 EE Q65 – The open loop poles of a third order unity feedback system are at 0, -1, -2. Let the frequency corresponding to the point where the root locus of the…
- GATE 2016 EE Q17 – The phase cross-over frequency of the transfer function G(s) = 100(s + 1)3 in rad/s is
- GATE 2016 EE Q40 – Consider the following asymptotic Bode magnitude plot ( is in rad/s). [Figure: A Bode magnitude plot. The slope is +20 dB/dec, crossing 0 dB at = 0.5,…
- GATE 2016 EE Q42 – Loop transfer function of a feedback system is G(s)H(s) = s + 3s2(s - 3). Take the Nyquist contour in the clockwise direction. Then, the Nyquist plot…
- GATE 2016 EE Q43 – Given the following polynomial equation s3 + 5.5 s2 + 8.5 s + 3 = 0, the number of roots of the polynomial, which have real parts strictly less than…
- GATE 2018 EE Q44 – The number of roots of the polynomial, s7+s6+7s5+14s4+31s3+73s2+25s+200, in the open left half of the complex plane is
- GATE 2019 EE Q24 – The open loop transfer function of a unity feedback system is given by G(s)= e-0.25ss. In G(s) plane, the Nyquist plot of G(s) passes through the…
- GATE 2019 EE Q25 – The characteristic equation of a linear time-invariant (LTI) system is given by (s)=s4+3s3+3s2+s+k=0. The system is BIBO stable if
- GATE 2019 EE Q39 – The asymptotic Bode magnitude plot of a minimum phase transfer function G(s) is shown below. Consider the following two statements. Statement I:…
- GATE 2020 EE Q20 – Consider a linear time-invariant system whose input r(t) and output y(t) are related by the following differential equation: d2y(t)dt2+4y(t)=6r(t) The…
- GATE 2020 EE Q34 – Consider a negative unity feedback system with forward path transfer function G(s)=K(s+a)(s-b)(s+c), where K,a,b,c are positive real numbers. For a…
- GATE 2020 EE Q45 – Which of the following options is correct for the system shown below?
- GATE 2020 EE Q46 – Consider a negative unity feedback system with the forward path transfer function s2+s+1s3+2s2+2s+K, where K is a positive real number. The value of K…
- GATE 2020 EE Q48 – The causal realization of a system transfer function H(s) having poles at (2,-1), (-2,1) and zeroes at (2,1), (-2,-1) will be
- GATE 2020 EE Q51 – A stable real linear time-invariant system with single pole at p, has a transfer function H(s)=s2+100s-p with a dc gain of 5. The smallest positive…
- GATE 2022 EE Q17 – The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high frequency phase, for the system,…
- GATE 2022 EE Q19 – The open loop transfer function of a unity gain negative feedback system is given by G(s)=ks2+4s-5. The range of k for which the system is stable, is
- GATE 2022 EE Q38 – The open loop transfer function of a unity gain negative feedback system is given as G(s)=1s(s+1). The Nyquist contour in the s-plane encloses the…
- GATE 2023 EE Q13 – In the Nyquist plot of the open-loop transfer function G(s)H(s)=3s+5s-1 corresponding to the feedback loop shown in the figure, the infinite…
- GATE 2024 EE Q57 – Consider the closed-loop system shown in the figure with G(s)=K(s2-2s+2)(s2+2s+5). The root locus for the closed-loop system is to be drawn for 0 K<.…
- GATE 2024 EE Q59 – Consider the stable closed-loop system shown in the figure. The magnitude and phase values of the frequency response of G(s) are given in the table.…
- GATE 2025 EE Q23 – The Nyquist plot of a strictly stable G(s) having the numerator polynomial as (s-3) encircles the critical point -1 once in the anti-clockwise…
- GATE 2025 EE Q29 – The open-loop transfer function of the system shown in the figure, is G(s)=Ks(s+2)(s+5)(s+7) For K0, which of the following real axis point(s) is/are…
- GATE 2025 EE Q41 – Let G(s)=1(s+1)(s+2). Then the closed-loop system shown in the figure below, is
- GATE 2026 EE Q29 – The asymptotic Bode magnitude plot of a system is shown. Which one of the following options best represents the transfer function of the system?