5173 fall 2009 HW07

5173 fall 2009 HW07 - form ) 87 . ( ) 1 ( ) ( ) ( ) ( 2 + =...

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EEL5173 Signal and System Analysis Fall 2009 HW # 7 (due 10/21/09) 1. For the system shown, we have ) 6 . 0 )( 1 ( 5 . 1 ) ( + = z z z z G and ) 8 . 0 ( ) ( = z k z H Determine the range of k so the system is BIBO stable. H (z) + _ + G (z)
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2. The Nyquist Diagram (for z = e j ω T with 0 < T < π ) of the open-loop gain, G ( z ) H (z), of a single-loop feedback control system is shown. The open-loop gain is of the following
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Unformatted text preview: form ) 87 . ( ) 1 ( ) ( ) ( ) ( 2 + = z z z N k z H z G , where N ( z ) is a polynomial of degree not higher than 3. Complete the Nyquist Diagram and use the Nyquist Criterion to determine the range of k in which the closed-loop system is stable. = 0+ -8k 3.5k GH-plane...
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5173 fall 2009 HW07 - form ) 87 . ( ) 1 ( ) ( ) ( ) ( 2 + =...

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