# HW1 - by their loop gain and check your result with...

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First Homework Eric Feron Feb 4, 2003 1. Bode plots Draw the Bode plots for the following systems. First by hand using the Bode plot following rules. Second using Matlab to check your results. (a) G ( s ) = 1 ( s + 1) 2 ( s 2 + s + 3) (b) G ( s ) = 3 s ( s + 5) ( s + 30)(4 s 2 + 2 s + 6) (c) G ( s ) = s ( s + 0 . 5)( s + 3)( s 2 + 2 s + 1600) (d) G ( s ) = 2000( s + 2) s ( s + 3)( s 2 + 8 s + 49) (e) G ( s ) = 12( s + 3) s ( s + 1)( s 2 + s + 5) (f) G ( s ) = 1500 s ( s + 5) (g) G ( s ) = 1 s ( s + 1)( s 2 + 2 s + 2) (h) G ( s ) = 1 s (1 + s )(1 + 0 . 125 s ) (i) G ( s ) = 1000 s (1 + 0 . 4 s )(1 + 0 . 1 s ) (j) G ( s ) = e - 3 s s + 1 s 2 + s + 1 2. Draw by hand the Nyquist diagrams for the following systems (given

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Unformatted text preview: by their loop gain), and check your result with MATLAB: (a) KG ( s ) = K ( s + 10) s + 100 . 1 (b) KG ( s ) = K ( s + 2)( s + 0 . 1) 2 . (c) KG ( s ) = K ( s + 100)( s + 10) ( s + 1000)( s + 1) 3 Estimate the range of K for which each system is stable. Check your results with MATLAB. 2...
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## This note was uploaded on 02/03/2012 for the course AERO 16.30 taught by Professor Ericferon during the Spring '04 term at MIT.

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HW1 - by their loop gain and check your result with...

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