A simplified form of the open-loop transfer function of an airplane with an autopilot in the longitudinal mode is K(s + a) G(s)H(s) = a > 0, b > 0 s(s – b)(s² + 25w„s + w)' Where a=1, b=2, 5 = 0.4, and @, = 5. Plot the root locus: (a) (b) How many zeros and poles? And where are they? How many branches?

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6. A simplified form of the open-loop transfer function of an airplane with an autopilot
in the longitudinal mode is
K(s + a)
G(s)H(s) =
a > 0,
b > 0
s(s - b)(s? + 2w„s + w)'
Where a=1, b=2, 5 = 0.4, and an = 5.
Plot the root locus:
(a)
(b)
How many zeros and poles? And where are they?
How many
branches?
Transcribed Image Text:6. A simplified form of the open-loop transfer function of an airplane with an autopilot in the longitudinal mode is K(s + a) G(s)H(s) = a > 0, b > 0 s(s - b)(s? + 2w„s + w)' Where a=1, b=2, 5 = 0.4, and an = 5. Plot the root locus: (a) (b) How many zeros and poles? And where are they? How many branches?
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