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AT&T; 6:00 PM A-1-7. The Nyquist plot (polar plot) of the opcn-loop frequency re

ID: 2290958 • Letter: A

Question

AT&T; 6:00 PM A-1-7. The Nyquist plot (polar plot) of the opcn-loop frequency respotse of a unity-oedhack contru ysten is shown in Figare 7-123a) Assuming that the Nyguist path in the a plane encloses the entire righr-s plan, draw a complete Nyquist plot in the G plane Then anwer the tolowing sylem stahle? loop system stable closed loop system stable? (b) If the open-loop trander functine has one pole and no nros in riht-half s plane, is the dased (s) If the opes-loop tranafer function has one zero and no poiles in the right-half s plan, is the Figure 7-123 (a) Nyquist plot; plot in the plane Find the oritical value of the ain K for t -7-12 Consider the same syitem as discussed in ProblemDr the Nyquist pilot for oly the Coider a unity-eedhuck system with hefollowing open-loop traner fonction -16 e 7-133shows a blokdi amofaspace.chidecontrol -130 igare 7-133 Dashboard Calendar To Do Notifications Inbox

Explanation / Answer

1. Or A-7-7

a) Yes, the sytem is stable if the open loop transfer function has no pole in the right half of the z-plane.

b)If the open loop sytem has one pole and no zero in the right half of z-plane then the closed loop system it is unstable.

c)If the open loop sytem has no pole and one zero in the right half of z-plane then the closed loop system it is unstable.

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