# hw1-170 - + 2 = k s + -j + k * s + + j , &amp;amp;gt;...

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MAE 170 Introduction to Control Systems A. Sideris Homework # 1 Due: October 9, 2007 before 12pm 1 Do Problems P1.11, E2.21, E2.30 in the text In E2.21 use the transfer function ω ( s ) Δ L ( s ) = ( s + 4) ( s + 1)( s + 2) 2 In E2.30 use the transfer function V ( s ) = 200 s 2 + 4 s + 200 and ﬁnd the inverse Laplace Transform of V ( s ) in 2 ways, using the 2 formulas given in class (for the 2nd one you need the residues of the complex poles ( k ) that you can compute, if you wish, with MATLAB’s residue command). More speciﬁcally, Bs + C ( s + α ) 2
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Unformatted text preview: + 2 = k s + -j + k * s + + j , &gt; (method 1) (method 2) k = Bs + C s + + j s =- + j D = s B 2 + C-B 2 D = 2 | k | = tan-1 C-B-B | {z } radians in [-/ 2 / 2] + = 6 k in radians = 0 , if B = 1 , if B &lt; L-1 De-t cos( t + ) u ( t ) ( u ( t ) is the unit step function) 1 Drop-o Location: 2nd oor of EG in front of elevator 1...
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## This note was uploaded on 08/31/2010 for the course ENGRMAE 170 taught by Professor Staff during the Fall '08 term at UC Irvine.

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