This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: K 2 + 61 K + 96 = 0, which has solutions K = 2.485 and 4.293. Since only positive values for K are considered, the closedloop system is stable for K > 0. The closedloop system is overdamped for small values of K , underdamped for intermediate values of K after the two branches break out of the real axis, and becomes overdamped again Compensators when the two branches break back into the real axis. The 2% settling time decreases as K increases and approaches 4/4 s as K approaches . For r ( t ) = 5, The steady state output is 5. The 2% bounds for the output are 4.9 and 5.1. The output reaches 5.1 and stays within the bounds at 1.23 s. Therefore, the graphically determined 2% settling time is 1.23 s. The percent overshoot is . The Root Locus Diagram and simulation plots are given below. 2 4 6 5 10 time (s) r y 2 4 65 5 time (s) e(t) 2 4 6 10 15 20 25 time (s) u(t)86422 2...
View
Full
Document
This note was uploaded on 02/01/2012 for the course MECH ENG 279 taught by Professor Landers during the Spring '11 term at Missouri S&T.
 Spring '11
 LANDERS

Click to edit the document details