Control Systems...

The characteristics equation of a particular system is given by s³ + 2s² + 6s + 12 = 0. The damping ratio δ will be

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

\(G\left( s \right)H\left( s \right) = \frac{K}{{s\left( {s + 4} \right)\left( {{s^2} + 2s + 2} \right)}}\) 

If a zero is added at s = -4 to the forward transfer function, which of the following is correct for a closed-loop system?

The open-loop transfer function of a unity feedback system is

\(G\left( s \right)H\left( s \right) = \frac{{K\left( {s + 1} \right)}}{{{s^2}\left( {s + 9} \right)}}\)

In the root locus of the system, as parameter K varies from 0 to ∞, the gain K, when all three roots are real and equal will be _________.

The partial Routh array of the characteristic equation of a system is given by.

\(\left. {\begin{array}{*{20}{c}} {{{\rm{s}}^4}}\\ {{{\rm{s}}^3}} \end{array}} \right|\begin{array}{*{20}{c}} {\begin{array}{*{20}{c}} 1\\ 3 \end{array}}&{\begin{array}{*{20}{c}} {\begin{array}{*{20}{c}} {\rm{a}}\\ {12} \end{array}}&{\begin{array}{*{20}{c}} 8\\ {} \end{array}} \end{array}} \end{array}\)

The system oscillates with a frequency of 2 rad/s. The value of the parameter ‘a’ of the system is-

A negative feedback system has a loop transfer function \(G\left( s \right)H\left( s \right) = \frac{{K\left( {s + 2} \right)}}{{s\left( {s - 1} \right)}}\) 

What will be the value of gain K so that the damping ratio (ξ) for a stable system is 0.707?

For the open loop transfer function \(G\left( s \right)H\left( s \right) = \frac{K}{{s\left( {s + 4} \right)\left( {s + 5} \right)}}\). The point of intersection of root locus with imaginary axis is _____.

A feedback system has an open-loop transfer function of

\(G\left( s \right)H\left( s \right) = \frac{{K{e^{ - s}}}}{{s\left( {{s^2} + 5s + 9} \right)}}\;;K > 0\)

At low frequencies, the closed-loop system is