GATE 2024 Control Systems Foundation Quiz 67

A system with a transfer function subjected to a step input takes 10 seconds to reach 40% of step height. The value of T is

Which of the following is the response y(t) of a causal LTI system described by  for a given input x(t) = e^–tu(t)

The total response of a system is defined by . The steady-state and transient responses are, respectively.

The system is shown in the figure below:

In the absence of derivative feedback (G = 0), determine the damping factor and natural frequency.

The maximum overshoot of a standard 2nd order system is 10% to a unit step input. If the magnitude of input is doubled, the maximum overshoot and percentage of maximum overshoot will be