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

$\dot{x}=\left[\begin{array}{cc}0& 1\\ 0& -3\end{array}\right]x+\left[\begin{array}{c}1\\ 0\end{array}\right]u,y=\left[\begin{array}{cc}1& 0\end{array}\right]x$

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