Analysis of Previous GATE Papers for Control Systems<\/h2>\n\n\n\n\n\nYear<\/th> Percentage of Marks<\/th><\/tr><\/thead> 2023<\/td> 8%<\/td><\/tr> 2022<\/td> 8 %<\/td><\/tr> 2021<\/td> 8 %<\/td><\/tr> 2020<\/td> 10 %<\/td><\/tr> 2019<\/td> 9 %<\/td><\/tr> 2018<\/td> 8 %<\/td><\/tr> 2017<\/td> 10.50%<\/td><\/tr> 2016<\/td> 8%<\/td><\/tr> 2015<\/td> 10 %<\/td><\/tr> 2014<\/td> 8 %<\/td><\/tr> 2013<\/td> 8 %<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div>\n\n\n\n\n<\/span>%<\/span><\/div>Overall Percentage of the Subject in GATE Paper<\/div><\/div>\n<\/div>\n<\/div>\n\n\n\n<\/div>\n\n\n\nRecent GATE Paper Questions of Control Systems<\/h2>\n\n\n\n
The following questions have been asked from Control System , in GATE-EE 2023 Paper.<\/p>\n\n\n\n
Q. Consider a unity-gain negative feedback system consisting of the plant G(s) (given below) and a proportional-integral controller. Let the proportional gain and integral gain be 3 and 1 , respectively. For a unit step reference input, the final values of the controller Output and the plant output, respectively, are G(s)=\\frac{1}{s-1}<\/span> <\/p>\n\n\n\na) \\infty,\\infty<\/span> <\/p>\n\n\n\nb) 1,0<\/p>\n\n\n\n
c) 1,-1<\/p>\n\n\n\n
d) -1,1<\/p>\n\n\n\n
\n\n\n\nQ. The magnitude and phase plots of an LTI system are shown in the figure. The transfer function of the system is <\/p>\n\n\n\n![\"\"](\"https:\/\/www.gradplus.pro\/wp-content\/uploads\/2023\/06\/189141-image-1.webp\")
<\/figure>\n\n\n\na) 2.515 e^{-0.032s}<\/span> <\/p>\n\n\n\nb) \\frac{e^{2.514s}}{s+1}<\/span> <\/p>\n\n\n\nc) 1.04e^{-2.514s}<\/span> <\/p>\n\n\n\nd) 2.51e^{-1.047s}<\/span> <\/p>\n\n\n\n
\n\n\n\nQ. Consider a lead compensator of the form K(s)=\\frac{1+\\frac{s}{\\alpha }}{1+\\frac{s}{\\alpha \\beta }},\\beta >1,\\alpha >0<\/span> .
The frequency at which this compensator produces maximum phase lead is 4 rad\/s. At this frequency, the gain amplification provided by the controller, assuming asymptotic Bode-magnitude plot of K(s), is 6 dB. The values of a, \\beta<\/span> , respectively. are<\/p>\n\n\n\nA) 1.16<\/td> B) 2,4<\/td> C) 3,5<\/td> D) 2.66, 2.25<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
\n\n\n\n\nGATE Paper Solutions for Control Systems<\/h2>
Last 25+ years GATE Papers with Authentic Solutions<\/p><\/div>\n\n\n\n
| Year<\/th> | Percentage of Marks<\/th><\/tr><\/thead> | ||||
|---|---|---|---|---|---|
| 2023<\/td> | 8%<\/td><\/tr> | ||||
| 2022<\/td> | 8 %<\/td><\/tr> | ||||
| 2021<\/td> | 8 %<\/td><\/tr> | ||||
| 2020<\/td> | 10 %<\/td><\/tr> | ||||
| 2019<\/td> | 9 %<\/td><\/tr> | ||||
| 2018<\/td> | 8 %<\/td><\/tr> | ||||
| 2017<\/td> | 10.50%<\/td><\/tr> | ||||
| 2016<\/td> | 8%<\/td><\/tr> | ||||
| 2015<\/td> | 10 %<\/td><\/tr> | ||||
| 2014<\/td> | 8 %<\/td><\/tr> | ||||
| 2013<\/td> | 8 %<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div>\n\n\n\n \n <\/span>%<\/span><\/div> Overall Percentage of the Subject in GATE Paper<\/div><\/div>\n<\/div>\n<\/div>\n\n\n\n <\/div>\n\n\n\n Recent GATE Paper Questions of Control Systems<\/h2>\n\n\n\nThe following questions have been asked from Control System , in GATE-EE 2023 Paper.<\/p>\n\n\n\n Q. Consider a unity-gain negative feedback system consisting of the plant G(s) (given below) and a proportional-integral controller. Let the proportional gain and integral gain be 3 and 1 , respectively. For a unit step reference input, the final values of the controller Output and the plant output, respectively, are G(s)=\\frac{1}{s-1}<\/span> <\/p>\n\n\n\n a) \\infty,\\infty<\/span> <\/p>\n\n\n\n b) 1,0<\/p>\n\n\n\n c) 1,-1<\/p>\n\n\n\n d) -1,1<\/p>\n\n\n\n Q. The magnitude and phase plots of an LTI system are shown in the figure. The transfer function of the system is <\/p>\n\n\n\n a) 2.515 e^{-0.032s}<\/span> <\/p>\n\n\n\n b) \\frac{e^{2.514s}}{s+1}<\/span> <\/p>\n\n\n\n c) 1.04e^{-2.514s}<\/span> <\/p>\n\n\n\n d) 2.51e^{-1.047s}<\/span> <\/p>\n\n\n\n Q. Consider a lead compensator of the form K(s)=\\frac{1+\\frac{s}{\\alpha }}{1+\\frac{s}{\\alpha \\beta }},\\beta >1,\\alpha >0<\/span> . Last 25+ years GATE Papers with Authentic Solutions<\/p><\/div>\n\n\n\n |