Example 3

Fig.4.9 The transfer function of the control system in question and its characteristics (step response, impulse response and pole-zero map).

1. Harmonic input signal.

Example 4

Fig.4.10 The transfer function of the control system in question and its response to the sine wave input signal

This input signal may be represented in the following forms:

(4.42)

where:

- a circular frequency of oscillation

- a period of oscillation

- a phase shift.

Harmonic input signal may be represented in the complex form:

(4.43)

D. Linear increasing (ramp) signal.

Fig.4.11 Linear increasing (ramp) signal, quadratic and cubic power time functions

A ramp function may be defined according to Eq. (4.44):

(4.44)

where - a constant coefficient.

This function may be referred as a “constant velocity input”.

Example 5