compensator9 - p lag , the asymptote real axis intercept...

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Compensators Q UESTION 9 For the closed–loop system in Figure 9 with and , prove the closed–loop system is unstable for large gain K , assuming there is no zero–pole cancellation. G(s) KG C (s) U(s) R(s) + - Y(s) E(s) Figure 9 There are m = 2 finite open–loop zeros and n = 4 open–loop poles. Therefore, n m = 2 branches will go to infinity at angles of . The asymptote real axis intercept is . Since the magnitude of z lag is greater than the magnitude of
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Unformatted text preview: p lag , the asymptote real axis intercept will be in the right half plane when z lag > 0 and, therefore, the closedloop system will be unstable for large values of gain K . If z lag < 0, the asymptote real axis intercept may be moved into the left half plane. However, one branch will go to z lag , which is in the right half plane; thus, the closedloop system will be unstable for large values of gain K ....
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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.

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