Control Systems...

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

For the system to be stable the range of K is

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?

If the roots have negative real parts, then the response is ____________

The closed loop transfer function of a system is

The number of poles in RHP and in LHP are

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

For the system shown in fig. the number of poles on RHP, LHP, and imaginary axis are:

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 

If a system is given unbounded input then the system is:

For the open loop system of fig. location of poles on RHP, LHP, and an jω - axis are

For a linear time invariant system, an optimal controller can be designed if

The eigen values of linear system are the location of

If the system matrix of a linear time invariant continuous system is given by

Its characteristic equation will be given by

The vector matrix differential equation of a system is given by

The state transition matrix of the system is

The system matrix of a continous time system is given by:

The characteristic equation is

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 ________.

A system is described by the following equations:

The transfer function of the system is

A system with impulse response is essentially a _______ compensator and used as a ________ filter.

Which of the following is true for the network shown below -

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 maximum phase shift that can be obtained by using a lead compensator with transfer function G_c(s) =  equal to

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