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Consider an even polynomial p(s) given by $$p(s) = {s^4} + 5{s^2} + 4 + K$$ where K is an unknown real parameter. The co...
GATE ECE 2022
Consider p(s) = s3 + $${a_2}$$s2 + $${a_1}$$s + $${a_0}$$ with all real coefficients. It is known that its derivative p...
GATE ECE 2018
The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability o...
GATE ECE 2018
Match the inferences X, Y, and Z, about a system, to the corresponding properties of the elements of first column in Rou...
GATE ECE 2016 Set 1
A unity negative feedback system has the open-loop transfer function $$G\left(s\right)\;=\;\frac K{s\left(s\;+\;1\right... GATE ECE 2015 Set 1 The forward path transfer function of a unity negative feedback system is given by$$$G\left(s\right)\;=\;\frac k{\left... GATE ECE 2014 Set 1 A polynomial $$f\left(x\right)\;=\;a_4x^4\;+\;a_3x^3\;+\;a_2x^2\;+\;a_1x\;-\;a_0$$ with all coefficients positive has GATE ECE 2013 Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system? GATE ECE 2013 A system described by the transfer function $$H\left(s\right)=\frac1{s^3+\alpha s^2+ks+3}$$$ is stable. The constraints...
GATE ECE 2000
An amplifier with resistive negative feedback has two left half-plane poles in its open-loop transfer function. The ampl...
GATE ECE 2000
The open loop transfer function of a unity feedback open-loop system is $$\frac{2s^2+6s+5}{\left(s+1\right)^2\left(s+2\r... GATE ECE 1998 The number of roots of$$s^3\;+\;5s^2\;+\;7s\;+\;3\;=\;0$$in the left half of the s-plane are GATE ECE 1998 ## Marks 2 More A unity feedback control system is characterized by the open-loop transfer function$$$G\left(s\right)\;=\;\frac{2\left... GATE ECE 2017 Set 2 Which one of the following options correctly describes the locations of the roots of the equation s4 + s2 + 1 = 0 on the... GATE ECE 2017 Set 1 The transfer function of a linear time invariant system is given by $$H\left(s\right)\;=\;2s^4\;-\;5s^3\;+\;5s\;-\;2$$. ... GATE ECE 2016 Set 1 The first two rows in the Routh table for the characteristic equation of a certain closed-loop control system are given ... GATE ECE 2016 Set 3 A plant transfer function is given as $$G\left(s\right)=\left(K_p+\frac{K_1}s\right)\left(\frac1{s\left(s+2\right)}\rig... GATE ECE 2015 Set 1 The characteristic equation of an LTI system is given by F(s) = s5 + 2s4 +3s3 + 6s2 - 4s - 8 = 0.The number of roots tha... GATE ECE 2015 Set 3 Consider a transfer function$$G_p\left(s\right)\;=\;\frac{ps^2+3ps\;-2}{s^2+\left(3+p\right)s\;+\left(2-p\right)}$$wit... GATE ECE 2014 Set 4 The feedback system shown below oscillates at 2 rad/s when ... GATE ECE 2012 A certain system has transfer function$$G\left(s\right)=\frac{s+8}{s^2+\alpha s-4}$$, where$$\alpha$$is a parameter.... GATE ECE 2008 The number of open right half plane poles of$$$G\left(s\right)\;=\;\frac{10}{s^5\;+2s^4\;+3s^3\;+6s^2\;+5s\;+3}\;is$$GATE ECE 2008 The positive values of âKâ and âaâ so that the system shown in the figure below oscillates at a frequency of 2 rad/sec r... GATE ECE 2006 For the polynomial P(s) = s5 + s4 + 2s3 + 2s2 + 3s + 15 ,the number of roots which lie in the right half of the s-plane ... GATE ECE 2004 The open-loop transfer function of a unity feedback system is$$$G\left(s\right)=\frac k{s\left(s^2+s+2\right)\left(s+3\... GATE ECE 2003 The characteristic polynomial of a system is q(s) = 2s5 + s4 + 4s3 + 2s2 + 2s + 1. The system is... GATE ECE 2002 The system shown in Figure remains stable when ... GATE ECE 2002 The feedback control system in Figure is stable ... GATE ECE 2001 If G(s) is a stable transfer function, then $$F\left(s\right)=\frac1{G\left(s\right)}$$ is always a stable transfer func... GATE ECE 1994 If $$s^3+\;3s^2\;+\;4s\;+A\;=\;0$$ ,then all the roots of this equation are in the left half plane provided that GATE ECE 1993 An electromechanical closed-loop control system has the following characteristic equation $$s^3+6Ks^2+\left(K+2\right)s+... GATE ECE 1990 In order to stabilize the system shown in fig. Ti should satisfy: ... GATE ECE 1989 Consider a characteristic equation given by s4 + 3s3 + 5s2 + 6s + K + 10 = 0. The condition for stability is... GATE ECE 1988 ## Marks 5 More Consider the feedback control system shown in figure. (a) Find the transfer function of the system and its characterist... GATE ECE 2001 The loop transfer function of a feedback control system is given by$$$G\left(s\right)H\left(s\right)=\frac{K\left(s+1\r...
GATE ECE 1999
The characteristic equation of a feedback control system is $$s^4+20s^3+15s^2+2s+K\;=\;0$$\$ (i) Determine the range of ...
GATE ECE 1998
A system having an open loop transfer function $$G\left(s\right)=\frac{K\left(s+3\right)}{s\left(s^2+2s+2\right)}$$ is u...
GATE ECE 1996

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