1.- The open-loop transfer function of a system is: G(S)H(S) = K/(S – 1)(S + 2), where K = 1. Figure 2 shows the general Nyquist plot for this transfer function. Using the Nyquist criterion determine: a) How many poles are on the right half of the plane for the closed-loop function? Is the system stable or unstable? Justify your answer b) What is the gain margin expressed in dB? c) How much the gain K has to be changed expressed in dB in order to obtain a marginally stable system

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1.- The open-loop transfer function of a system is:
G(S)H(S) = K/(S – 1)(S + 2), where K = 1.
Figure 2 shows the general Nyquist plot for this transfer function. Using the Nyquist
criterion determine:
a) How many poles are on the right half of the plane for the closed-loop function? Is
the system stable or unstable? Justify your answer
b) What is the gain margin expressed in dB?
c) How much the gain K has to be changed expressed in dB in order to obtain a
marginally stable system
Nyguist Diagran
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Transcribed Image Text:1.- The open-loop transfer function of a system is: G(S)H(S) = K/(S – 1)(S + 2), where K = 1. Figure 2 shows the general Nyquist plot for this transfer function. Using the Nyquist criterion determine: a) How many poles are on the right half of the plane for the closed-loop function? Is the system stable or unstable? Justify your answer b) What is the gain margin expressed in dB? c) How much the gain K has to be changed expressed in dB in order to obtain a marginally stable system Nyguist Diagran 06- 04- 02 -02 -04- 0.0 06 0.5 03 Real Ads spy kuteu
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