Q1:

The transfer function $\left(\frac{C_2}{R_1}\right)$ for the given signal flow graph is

Q2:

The transfer function of a linear system is the

Q3:

The transfer function of the circuit as shown in the figure is expressed as

Q4:

The sensitivity of an overall transfer function M(s) of a closed-loop control system with respect to the forward path transfer function G(s) is

Q5:

Consider the following block diagrams :

Which of these block diagrams can be reduced to transfer function $\frac{C\left(s\right)}{R\left(s\right)}=\frac{G_1}{1-G_1{G}_2}$?

Q6:

The block diagram given below is equivalent to

Q7:

In the signal flow graph shown below, X₂ = TX₁, where T is equal to

Q8:

For type one system, as shown in figure, the number encirclement of (–1, 0) is

Q9:

The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by

Q10:

Given G(s) H(s) = $\frac{K}{s(s+1)(s+3)}$, the point of intersection of the asymptotes of the root loci with the real axis is

Q11:

The root-locus diagram for a closed-loop feedback system is shown in the figure. The system is over damped.

Q12:

The Gain Margin of the system $G(s)=\frac{10}{s(s+25) }$is

Q13:

Find out corner frequencies of $G(s)H(s)=\frac{30}{s(s+3)(s+5)}$

Q14:

The open loop transfer function of a system is $\frac{10{(s-1)}^5{e}^{-3s}}{s(s+2)(s-4)}$, the high frequency slop of the Bode plot is ______ dB/decade.

Q15:

For the transfer function

$G(s)=\frac{5(s+4)}{s(s+0.25)(s^2+4s+25)}$

The values of the constant gain term and the highest corner frequency of the Bode plot respectively are

Q16:

The phase margin of a system with the open-loop transfer function.

$G(s)H(s)=\frac{(1-s)}{(1+s)(2+s)}$

Q17:

If the closed-loop transfer function of a control system is given as

$T(s)=\frac{s-5}{(s+2)(s+3)}$, then it is

Q18:

The slate transition matrix x$\varphi (t)$ of the following system:

$\left[\begin{array}{c}\stackrel{•}{x_1}\\ \stackrel{•}{x_2}\end{array}\right]=\left[\begin{array}{cc}0& 1\\ -2& -3\end{array}\right]\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]$

Q19:

Despite the presence of negative feedback, control systems still have problems of instability because the