The transfer function of a real system, H(s), is given as:

where A, B, C and D are positive constants. This system cannot operate as

An LTI system is shown in the figure where G(s) . The steady state output of the system, to the input r(t), is given as  The values of a and b will be         

A signal generator having a source resistance of . is set to generate a 1 kHz sinewave. Open circuit terminal voltage is 10 V peak-to-peak. Connecting a capacitor across the terminals reduces the voltage to 8 V peak-to-peak. The value of this capacitor is ________ . (Round off to 2 decimal places.)

A stable real linear time-invariant system with single pole at p, has a transfer function  with a dc gain of 5. The smallest positive frequency, in rad/s, at unity gain is closest to:

The transfer function of a system is given by, . Let the output of the system be  for the input, . Then the minimum and maximum values of  (in radians) are respectively

The transfer function of a system is . The steady state output y(t) is A  for the input . The value of A and , respectively are

The phase cross-over frequency of the transfer function  in rad/s is

Consider a linear time-invariant system with transfer function                

If the input is cos(t) and the steady output is  , then the value of A is___________.

The transfer function of a second order real system with a perfectly flat magnitude response of unity has a pole at

(2 – j3). List all the poles and zeroes.

A system with transfer function

is excited by .  The steady state output of the system is zero at

A system with zero initial conditions has the closed loop transfer function. The system output is zero at the frequency

In the system shown in figure, the input x(t)=sin t. In the steady-state, the response y(t) will be

Determine the transfer function of the system having the following state variable representation:         

The closed-loop transfer function of a control system is given by . For the input , the steady state value of c(t) is equal to

The block diagram of the control system is given in the figure.  

An underdamped second-order system having a transfer function of the form has a frequency response plot shown in the figure. Then the system gain K is _______________ and the damping factor is approximately ___________________.