PYQs Based Test - 05 : Control Systems — Free Mock Test (GATE EC) | ExamTest.live

Consider an even polynomial p(s) given by p(s) = s⁴ + 5s² + 4 + K where K is an unknown real parameter. The complete range of K for which p(s) has all its roots on the imaginary axis is ________.

The block diagram of a closed-loop control system is shown in the figure. R(s), Y(s), and D(s) are the Laplace transforms of the time-domain signals r(t), y(t), and d(t), respectively. Let the error signal be defined as e(t) = r(t) - y(t). Assuming the reference input r(t) = 0 for all t, the steady-state error e(\infty), due to a unit step disturbance d(t), is _________ (rounded off to two decimal places).

For an LTI system, the Bode plot for its gain is as illustrated in the figure shown. The number of system poles N ₚand the number of system zeros N_{z} in the frequency range 1 Hz \leq f \leq 10 ⁷Hz is

PYQs Based Test - 05 : Control Systems