compensator8 - axis intercept will be in the right half...

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Compensators Q UESTION 8 For the closed–loop system in Figure 8 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 8 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 . For z > 0, the asymptote real
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Unformatted text preview: axis intercept will be in the right half plane and, therefore, the closedloop system will be unstable for large values of gain K . If z < 2, the asymptote real axis intercept will be moved into the left half plane. However, one branch will go to z , which is in the right half plane; thus, the closedloop system will be unstable for large values of gain K ....
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