timeresponse6

# timeresponse6 - 17 10 100 70 10 OS-= = Therefore the...

This preview shows pages 1–2. Sign up to view the full content.

Time Response Q UESTION 6 For each of the unit step responses shown in Figure 6.1, find the system transfer function. 0 0.1 0.2 0.3 0.4 0.5 0 1 2 system 1 response 0 5 10 15 0 10 20 time (s) system 2 response Figure 6.1 For system 1, a suitable model is of the form K s a + . The system reaches 63% of its final response at approximately 0.1 s. Therefore, the time constant is 0.1 sec and a = 1/0.1 = 10. From the graph, the steady–state output is 2; therefore, K / a = 2 and K = 20. For system 1, a suitable model is of the form 2 2 2 n n K s s ζϖ ϖ + + . The percent overshoot is

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 17 10 % 100 70% 10 OS-= = . Therefore, the damping ratio is Time Response 2 2 2 2 % 70 ln ln 100 100 0.1128 % 70 ln ln 100 100 OS OS Î¶ Ï€ -- = = + + (1) The peak time is T p = 1.25 s; therefore 2 2 2.529 1 1.25 1 0.1128 n p rad s T Ï– = = =--(2) From the graph, the steadyâ€“state output is 10; therefore 2 10 6.398 n K K = = and K = 63.98. 2...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

timeresponse6 - 17 10 100 70 10 OS-= = Therefore the...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online