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5173 fall 2009 HW06

# 5173 fall 2009 HW06 - ω of the open-loop gain G s H s of a...

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EEL5173 Signal and System Analysis Fall 2009 HW # 6 Due 10/14/2009 1. The Nyquist Plot (Diagram, for positive ω ) of the open-loop gain, G ( s ) H ( s ), of a single-loop feedback control system is shown. No pole of GH is in the right-half plane. Complete the Nyquist Diagram for all ω and use the Nyquist Criterion to determine the range of k in which the closed-loop system is stable. ω=0 4k 2k 0 -5k ω→ ∞ -k + _ + G (s) H (s) GH-plane

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2. The Nyquist Plot (Diagram, for positive
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Unformatted text preview: ω ) of the open-loop gain, G ( s ) H ( s ), of a single-loop feedback control system is shown. The open-loop gain is of the following form ) 25 8 ( ) ( ) ( ) ( 2 2 + + = s s s s N k s H s G , where N ( s ) is a polynomial of degree less than 4. Complete the Nyquist Diagram for all ω and use the Nyquist Criterion to determine the range of k in which the closed-loop system is stable. GH-plane 0 ω→ ∞ 2.5k ω →0...
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5173 fall 2009 HW06 - ω of the open-loop gain G s H s of a...

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