A controller  of the form  is to be designed for the plant  as shown in the figure. The value of  that yields a phase margin of  at the gain cross-over frequency of  is ___________ (round off to one decimal place).

Consider a unity-gain negative feedback system consisting of the plant (s) (given below) and a proportional-integral controller. Let the proportional gain and integral gain be 3 and 1, respectively. For a unit step reference input, the final values of the controller output and the plant output, respectively, are

Consider a closed-loop system as shown. is the plant transfer function and Gc(s) = 1 is the compensator. For a unit-step input, the output response has damped oscillations. The damped natural frequency is ……….. rad/s. (Round off to 2 decimal places)

In the given figure, plant

 and compansatorinput is D(s). It is desired that when the disturbance is a unit step, the steady-steady error should not exceed 0.1 unit. The minimum value of K is …………..(Round off to 2 decimal places) 

Introduction of integral action in the forward path of a unity feedback system results in a