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The asymptotic Bode phase plot of $G\left(s\right)=\frac{k}{(s+0.1)(s+10)(s+p_1)}$, with $k$ and $p_1$ both positive , is shown below.



The value of $p_1$ is

1. 1

A unity feedback system has an open loop transfer function, $G\left(s\right)=\frac{K}{s^2}.$ Its root locus plot will be

The loop transfer function of a feedback control system is given by,

$G\left(s\right)H\left(s\right)=\frac{K(s+6)}{s(s+4)}$

The range of value of K for underdamped system will be

The frequency response

$G\left(s\right)=1/\left[s\right(s+1\left)\right(s+2\left)\right]$ plotted in the complex $G\left(j\omega \right)$ plane $(for0<\omega <\infty )$ is

A second order control system has the settling time of 5 seconds (for $\pm 2$) tolerance ) and the peak time of 2 seconds. The locations of poles in the s-plane are

The loop transfer function of a negative feedback system is given by

$G\left(s\right)H\left(s\right)=\frac{K}{s(s+2)(s+6)},wherek>0.$ The value of K at the breakaway point of the root locus for the above system (rounded of to one decimal place) is

1. 5

For a system with the transfer function:



$H\left(s\right)=\frac{3(s-2)}{s^3+4s^2-2s+1}$



the matrix A in the state space form $\dot{x}=Ax+Bu$ is equal to

The open-loop transfer function of a dc motor is given as $\frac{\omega \left(s\right)}{V_a\left(s\right)}=\frac{10}{1+10s}$. When connected in feedback as shown below, the approximate value of $K_a$ that will reduce the time constant of the closed loop system by one hundred times as compared to that of the open-loop system is

In a Bode magnitude plot, which one of the following slopes would be exhibited at high frequencies by a $4^{th}$ order all-pole system ?

Figure shows the root locus plot (location of poles not given) of a third order system whose open loop transfer function is

The signal flow graph of a system is shown below. U(s) is the input and C(s) is the output.







Assuming, $h_1=b_1$ and $h_o=b_0-b_1{a}_1$, the input- output transfer function, $G\left(s\right)=\frac{C\left(s\right)}{U\left(s\right)}$ of the system is given by

The Nyquist plot for the open-loop transfer function $G\left(s\right)$ of a unity negative feedback system is shown in the figure, if $G\left(s\right)$ has no pole in the right-half of s-plane, the number of roots of the system characteristic equation in the right-half of s-plane is