Control Systems...

Consider the polynomial

P(s) = s⁵ + 5s⁴ + 11s³ + 23s² + 28s + 12

Using the Routh Hurwitz criteria, which of the following is/are true?

In the signal flow graph of figure y/x equals

Non-minimum phase transfer function is defined as the transfer function

The type and order of the system described by the open loop transfer function  are respectively

The transfer function of the network shown below is

A unity feedback control system has an open-loop transfer function

\(G\left( s \right) = \frac{A}{{s\left( {s + a} \right)}}\)

The system matrix of a continuous time system, described in the state variable from is

\(\left[ {\begin{array}{*{20}{c}}x&0&0\\0&y&{ - 1}\\0&1&{ - 2}\end{array}} \right]\)

A system is represented by the following equation

\(\ddot y\left( t \right) + 6\dot y\left( t \right) + 5y\left( t \right) = u\left( t \right)\)

The transfer function of a control system is given by

\(\frac{{C\left( s \right)}}{{R\left( s \right)}} = \frac{{25}}{{{s^2} + 6s + 25}}\) 

For the transfer function, \(G\left( s \right) = \frac{{5\left( {s + 4} \right)}}{{s\left( {s + 0.25} \right)\left( {{s^2} + 10s + 25} \right)}}\), the values of the constant gain term and the highest corner frequency of the Bode plot respectively are:

The principle of homogeneity and superposition are applied to

The differential equation of a control system having input x(t) and output y(t) is given as 

The output response of the system for unit step input is given by

The step response of a system is given by

c(t) = 1 + 0.25 e^-50t - 1.25e^-10t

The steady state gain of the transfer function in time constant form will be

The poles and zeros of the transfer function  for the network shown below are located at

The pole-zero configuration of a transfer function is shown below:

If the value of the transfer function at s = 1 is 3.2, the gain factor K is

Consider the open-loop transfer function \(G\left( s \right)H\left( s \right) = \frac{K}{{s\left( {{s^2} + 6s + 25} \right)}}\). The angle of departure at the complex pole with positive imaginary part (angle measured in the anticlockwise direction and to be answered in between 0 and 360) in degrees is _______

Which one of the following block diagrams in options given is equivalent to the below shown block diagram?

A certain linear time invariant system has the state and the output equations given below

\(\left[ {\begin{array}{*{20}{c}}{{{\dot x}_1}}\\{{{\dot x}_2}}\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}1&{ - 1}\\0&1\end{array}} \right]\left[ {\begin{array}{*{20}{c}}{{x_1}}\\{{x_2}}\end{array}} \right] + \left[ {\begin{array}{*{20}{c}}0\\1\end{array}} \right]u\)

\(y = \left[ {1\;\;1} \right]\left[ {\begin{array}{*{20}{c}} {{x_1}}\\ {{x_2}} \end{array}} \right]\)

The ratio C(s)/R(s) for the system shown in figure below is

Consider a plant whose transfer function is \(\frac{2}{{s\left( {s + 4} \right)}}\). It is desired that a lead compensator is used to design a negative feedback closed loop system with this plant.

The lead compensator needs to provide a maximum phase lead of 40° and this maximum phase lead angle should be provided at a frequency of 5 rad/sec.

It is desired that the static velocity error constant of the compensated system to be 10.

The transfer function C(s)/R(s) for the system described by the block diagram shown below is given by:

The transfer matrix for the multi input-multi output (MIMO) system represented by the block diagram shown below is given by

Match List-I with List-II and select the correct answer using the codes given below the lists:

Which one of the following statements is correct in respect of the above block diagrams?

The poles of the transfer function C(s)/R(s) of the system represented by the block diagram shown below are located at

The unity feedback system has forward path transfer function.

\(G\left( s \right) = \frac{K}{{s\left( {s + 1} \right)\left( {s + 2} \right)}}\)