1

GATE ECE 2000

Subjective

+5

-0

The block diagram of a feedback system is shown in Figure.

(a) Find the closed loop transfer function.

(b) Find the minimum value of G for which the step response of the system would exhibit an overshoot, as shown in Figure.

(c) For G equal to twice this minimum value, find the time period T indicated in Figure.

(a) Find the closed loop transfer function.

(b) Find the minimum value of G for which the step response of the system would exhibit an overshoot, as shown in Figure.

(c) For G equal to twice this minimum value, find the time period T indicated in Figure.

2

GATE ECE 1997

Subjective

+5

-0

Following fig. shows the block diagram representation of control system. The system in
block A has an impulse response
h(t ) = e

(b) Find the impulse response when k = 0.

(c) Find the values of k for which the system becomes unstable.

^{−t}u(t ). The system in block B has an impulse response h(t ) = e^{−2t}u(t ). The block 'K' amplifies its inputs by a factor k. For the overall system with input x(t) and output y(t). (a) Find the transfer function $$\frac{y\left(s\right)}{x\left(s\right)}$$ when k =1.(b) Find the impulse response when k = 0.

(c) Find the values of k for which the system becomes unstable.

Questions Asked from Time Response Analysis (Marks 5)

Number in Brackets after Paper Indicates No. of Questions

GATE ECE Subjects

Signals and Systems

Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform

Network Theory

Control Systems

Digital Circuits

General Aptitude

Electronic Devices and VLSI

Analog Circuits

Engineering Mathematics

Microprocessors

Communications

Electromagnetics