Consider the following Transfer Function models for three dynamic systems.

(a)

\[H_{1}(s)=\frac{5 s}{s^{2}+2 s+5}\]

(b)

\[H_{2}(s)=\frac{5}{s^{2}+2 s+5}\]

(c)

\[H_{3}(s)=\frac{\omega_{n}^{2}}{s^{2}+2 \xi \omega_{n}+\omega_{n}^{2}}\]

Find the output for each system if the input is a sawtooth signal as shown in Figure 3.41.

Transcribed Image Text:

u(t) Figure 3.41 Sawtooth input signal. 2 3 4