Aspiring engineers who are preparing for the Graduate Aptitude Test in Engineering (GATE) understand the significance of thorough preparation and comprehensive study resources.

Through a meticulous examination of previous years’ question papers, we aim to provide you with valuable insights, key trends, and effective strategies to excel in Control System for your GATE exam.

## GATE EC Syllabus for the Subject Control System

Basic control system components; Feedback principle;

Transfer function; Block diagram representation; Signal flow graph;

Transient and steady-state analysis of LTI systems; Frequency response;

Routh-Hurwitz and Nyquist stability criteria;

Bode and root-locus plots; Lag, lead and lag-lead compensation;

State variable model and solution of state equation of LTI systems.

## Analysis of Previous GATE Papers for Control System

Year | Percentage of Marks |
---|---|

2023 | 5% |

2022 | 6 % |

2021 | 5 % |

2020 | 10 % |

2019 | 10% |

2018 | 7 % |

2017 | 9% |

2016 | 8% |

2015 | 10 % |

2014 | 8 % |

2013 | 11% |

## Recent GATE Paper Questions of Control System

The following questions have been asked from Control System , in GATE-EC 2023 Paper.

Q.1. In the following block diagram, R(s) and D(s) are two inputs. The output Y(s) is expressed as Y(s) = G_{1}(s)R(s) + G_{2}(s)D(s).

G_{1}(s) and G_{2}(s) are given by

a)G_{1}(s)=\frac{G(s)}{1+G(s)+G(s)H(s)}\; and\; G_{2}(s)=\frac{G(s)}{1+G(s)+G(s)H(s)}

b)G_{1}(s)=\frac{G(s)}{1+G(s)+H(s)}\; and\; G_{2}(s)=\frac{G(s)}{1+G(s)+H(s)}

c)G_{1}(s)=\frac{G(s)}{1+G(s)+H(s)}\; and\; G_{2}(s)=\frac{G(s)}{1+G(s)+G(s)H(s)}

d) G_{1}(s)=\frac{G(s)}{1+G(s)+G(s) H(s)}\; and\; G_{2}(s)=\frac{G(s)}{1+G(s)+H(s)}

Q. 2 A closed loop system is shown in the figure where k>0 and α>0. The steady state error due to a ramp input (R(s) = α/s^{2}) is given by

a) \frac{2\alpha }{k}

b) \frac{2\alpha }{k}

c) \frac{\alpha }{2k}

d) \frac{\alpha }{4k}

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