Control Systems...

Of the given systems transfer function, the system more relatively stable is

The loop gain GH of a closed-loop system is given \(\frac{K}{{s\left( {s + 2} \right)\left( {s + 4} \right)}}\). What is the value of K for which the system just becomes unstable?

The state space representation of a system is given by

\(\dot x = \left[ {\begin{array}{*{20}{c}}0&1\\0&{ - 3}\end{array}} \right]x + \left[ {\begin{array}{*{20}{c}}1\\0\end{array}} \right]u,y = \left[ {\begin{array}{*{20}{c}}1&0\end{array}} \right]x\)

The transfer function \(\frac{{Y\left( s \right)}}{{U\left( s \right)}}\) of the system will be

The open loop transfer function of a unity feedback control system is given by G(s) = Ke^-Ts. Where, K and T are constants and these are greater than zero. The stability of closed loop system depends on which of the following?

The transfer function of a system is \(\frac{{10\left( {s + 2} \right)}}{{s - 1}}\) the DC gain of the system is

A control system has 10 poles and 2 zeros. The slope of its very high frequency asymptote in magnitude bode plot is ________ in dB/dec

A closed loop control system is stable if the Nyquist plot of the corresponding open-loop transfer function 

The pole zero configuration of a closed loop control system is given by (s₁, s₂) = -2 ± j2. The undamped resonant frequency (in rad/sec) is ________.

For the system, whose open-loop transfer function is G(s) H(S) \(= \frac{K}{{{{\left( {s + 2} \right)}^2}\left( {s + 3} \right)}}\)

What is the difference between the maximum value and minimum value of K which satisfies the following specifications:

(i) Position error constant K_P ≥ 2

(ii) Gain margin ≥ 3

The response y(t) of a linear system to an excitation x(t) = e^-3t u(t) is y(t) = (2t + 1) e^-2t u(t). Poles and zeros will be at