Control Systems...

The output of the feedback control system must be a function of:

The unit impulse response of a certain system is found to be e^-8t. Its transfer function is _______.

Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is

The sum of the gains of the feedback paths in the signal flow graph shown in fig. is

A linear system with H(s) = 1/s is excited by a unit step function input. The output for t > 0 is given by

The open loop transfer function of a unity feedback system is given by

\(\frac{1}{{s\left( {3s + 1} \right)}}{e^{ - 2Ts}},T > 0\)

It is shown that the phase angle of the loop transfer function at frequency ω₀ is 0. Which of the following equation is satisfied by ω₀

Consider a unity feedback closed-loop system whose open-loop transfer function is \(\frac{{2\left( {s + 8} \right)}}{{{s^2} + 7s - 8}}\)

The mapped contour of the Nyquist contour in the G(s) H(s) plane (where G(s) H(s) is the open-loop transfer function)

The transfer function of a system is given by \(G\left( s \right) = \frac{{{e^{ - \frac{s}{{500}}}}}}{{s + 500}}\)

The input to the system is x(t) = sin 100 πt.

In a periodic steady-state, the output of the system is found to be y(t) = A sin (100 πt - ϕ). The phase angle (ϕ) in degrees is _______ 

The overall transfer function C/R of the system shown in fig. will be:

For the signal flow graph shown in fig. an equivalent graph is

The block diagram of a system is shown in fig. The closed loop transfer function of this system is

For the system shown in fig. transfer function C(s) R(s) is

In the signal flow graph shown in fig. the transfer function is

In the signal flow graph shown in fig. the gain C/R is

Given the following polynomial equation

s³ – s² + 3s + 1 = 0

The number of roots of the polynomial, which have real parts strictly less than 1, is_______

The gain C(s)/R(s) of the signal flow graph shown in fig.

The negative feedback closed-loop system was subjected to 15V. The system has a forward gain of 2 and a feedback gain of 0.5. Determine the output voltage and the error voltage.

For the block diagram shown in fig. transfer function C(s)/R(s) is

For the block diagram shown in fig. the numerator of transfer function is

Given \(\rm G\left( s \right)H\left( s \right) = \frac{K}{{s\left( {s + 4} \right)\left( {{s^2} + 4s + 12} \right)}}\)is the open loop transfer function of a system. Then total number of complex break points is.

A Control system with PD controller is shown. If velocity error constant is K_V = 1000 and the damping ratio is 0.5 then the values of K_P and K_D Should be:

For the block diagram shown in fig. the transfer function C(s)/R(s) is

Consider the system \(\dot x\left( t \right) = \left[ {\begin{array}{*{20}{c}} 1&1\\ 0&1 \end{array}} \right]x\left( t \right) + \left[ {\begin{array}{*{20}{c}} {{b_1}}\\ {{b_2}} \end{array}} \right]u\left( t \right),c\left( t \right) = \left[ {\begin{array}{*{20}{c}} {{d_1}}&{{d_2}} \end{array}} \right]u\left( t \right)\). The conditions for complete state controlling and complete observability is

Obtain the complete time response of system given by,

\(\dot X\left( t \right) = \left[ {\begin{array}{*{20}{c}}0&1\\{ - 2}&0\end{array}} \right]X\left( t \right)\;where\;X\left( 0 \right) = \left[ {\begin{array}{*{20}{c}}1\\1\end{array}} \right]\)

And Y(t) = [1 - 1]X(t)