Question

Q1. The open loop transfer function of a servo system with unity feedback is given by
10
G(s) =
(s + 2)(s +5)
Determine the
a) Damping ratio
b) Undamped natural frequency of oscillation
c) What is the percentage overshoot of the response to a unit step input?​

Answer 1

Answer:

c)For a step input, the percentage overshoot (PO) is the maximum value minus the step value divided by the step value. In the case of the unit step, the overshoot is just the maximum value of the step response minus one.

b)Frequency of free, undamped oscillation for a system. For a multiple-degree-of-freedom system, the natural frequencies are the frequencies of the normal modes of vibration. Unit, hertz (Hz). Annotation For the equation of motion in Table 1, the undamped natural frequency is (1/2π)(S/M)1/2.

a)Damping is an influence within or upon an oscillatory system that has the effect of reducing, restricting or preventing its oscillations. In physical systems, damping is produced by processes that dissipate the energy stored in the oscillation