PYQs Based test 14: Control Systems

Which of the following systems has maximum peak overshoot due to a step input?

The Bode magnitude plot of the transfer function $G\left(s\right)=\frac{K\left(1+0.5s\right)\left(1+as\right)}{s\left(1+\frac{s}{8}\right)\left(1+bs\right)\left(1+\frac{s}{36}\right)}$ is shown below. Note that – 6dB/octave = -20 dB/decade. The value of $\frac{a}{bK}$ is ___________

The root locus of the feedback control system having the real characteristic equation s ²+ 6Ks + 2s + 5 = 0 where K > 0, enters into the real axis at

The bode magnitude plot for the transfer function $\frac{V_0(s)}{V_i(s)}$ of the circuit is as shown. The value of R is ______ Ω. (Round off to 2 decimal places.)

Which of the options is an equivalent representation of the signal flow graph shown here?