GATE Control Systems: Routh-Hurwitz and Nyquist Stability Criteria – Previous Year Questions
18 GATE previous year questions on Routh-Hurwitz and Nyquist Stability Criteria (Control Systems, Electronics and Communication Engineering) with answers and explanations, from every paper.
- GATE 2017 EC Q58 – Which one of the following options correctly describes the locations of the roots of the equation s4 + s2 + 1 = 0 on the complex plane?
- GATE 2017 EC Q59 – The Nyquist plot of the transfer function G(s) = K(s2 + 2s + 2)(s + 2) does not encircle the point (-1 + j0) for K = 10 but does encircle the point…
- GATE 2015 EC Q58 – A plant transfer function is given as G(s) = (K P + K Is)1s(s + 2). When the plant operates in a unity feedback configuration, the condition for the…
- GATE 2016 EC Q29 – Match the inferences X, Y, and Z, about a system, to the corresponding properties of the elements of first column in Routh's Table of the system…
- GATE 2016 EC Q30 – A closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer function
- GATE 2016 EC Q57 – The transfer function of a linear time invariant system is given by H(s) = 2s4 - 5s3 + 5s - 2 The number of zeros in the right half of the s-plane is
- GATE 2018 EC Q15 – The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers.…
- GATE 2018 EC Q52 – The figure below shows the Bode magnitude and phase plots of a stable transfer function G(s)=n 0s3+d 2s2+d 1s+d 0. Consider the negative unity…
- GATE 2020 EC Q21 – The pole-zero map of a rational function G(s) is shown below. When the closed contour is mapped into the G(s)-plane, then the mapping encircles
- GATE 2020 EC Q33 – The loop transfer function of a negative feedback system is G(s)H(s)=K(s+11)s(s+2)(s+8). The value of K, for which the system is marginally stable, is…
- GATE 2021 EC Q24 – The complete Nyquist plot of the open-loop transfer function G(s)H(s) of a feedback control system is shown in the figure. If G(s)H(s) has one zero in…
- GATE 2021 EC Q58 – A unity feedback system that uses proportional-integral (PI) control is shown in the figure. The stability of the overall system is controlled by…
- GATE 2022 EC Q21 – Consider a closed-loop control system with unity negative feedback and KG(s) in the forward path, where the gain K=2. The complete Nyquist plot of the…
- GATE 2022 EC Q44 – Consider an even polynomial p(s) given by p(s)=s4+5s2+4+K, where K is an unknown real parameter. The complete range of K for which p(s) has all its…
- GATE 2024 EC Q37 – Consider a unity negative feedback control system with forward path gain G(s)=K(s+1)(s+2)(s+3) as shown. The impulse response of the closed-loop…
- GATE 2025 EC Q16 – The Nyquist plot of a system is given in the figure below. Let P, Q, R, and S be the positive frequencies at the points P, Q, R, and S, respectively.…
- GATE 2025 EC Q37 – Consider the polynomial p(s)=s5+7s4+3s3-33s2+2s-40. Let (L,I,R) be defined as follows: L is the number of roots of p(s) with negative real parts. I is…
- GATE 2026 EC Q59 – Consider the unity negative feedback control system shown in the Figure. The value of gain K\,(>0) at which the given system will remain marginally…