Midterm (Fall 03_solution)

# Midterm (Fall 03_solution) - pAML feV‘ncmAJ/O Miterm...

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Unformatted text preview: pAML feV‘ncmAJ/O ' Miterm Test (I), EE3530, Fall 2003 Problem 1 (10 pts): Draw the component block diagram of a feedback control system. Problem 2 (10 pts): What is the purpose of feedback? L ~Fin'clthe Laplace transfornitofiiiuh‘ction ) i I; ‘ f(t) :1 + 2t + 26(t) + e‘t + cos(t). Problem 4 (10 pts): Find the inverse Laplace transform of 3+1 3 'F(s)=sz+s+32—23+1- Problem 5 (10 pts): Find the transfer function H (s) "i="§%§% of the system'shown in Figure 1. Figure 1: Problem 5 Problem 6 (15 pts): Consider the mechanical system shown in Figure 2. Find the transfer function H (s) := % where F (t) is a force and y(t) is the displacement of the A mass with respect to t e position where the spring is unstretched and uncompressed. Suppose that the friction force is proportional to the velocity with friction coefﬁcient b. i Problem 7 (15 pts): Find the transfer function H (s) := 288% of the circuit shown in Figure 3. Problem 8 (20 pts): Find the transfer function H (s) := %§(ZJ(%)Z of the circuit shown in Figure 4. and PB 0L“ mpmm'e' "wand/e» ' ” « mﬂemuz. SLBMIS Pan»; uncevmmb .mme . Lef- IVL m week +2: SULPYBJS \Mcerrlmmﬁa 8 Ah, RAVEN/Key. ' ‘ " , _-.__/" ~ﬁle Hl-Ql - Q2 A, I“. imam _+ H l...-:.c\..L-a2).. .. ~ 1M. + PLA’Z' 1' .l l. 'ISEWUt/wio , “k3 ~ + Md \$5M 25w [ma-M (Mail'wa :u - bsY + F = WY H2) (2; we) ‘R I ’ R + a.“ I _CJE+R . >‘ 4- I 2/+:E:f ‘ (2r 2 +3\$RC (+25% "315i ailizira.12?!gag!51.3.Ilzfixmuﬁuaﬂhinsuauuﬁnﬂﬂiuﬂ ﬁg»: llrnvlnlgfl‘tluflPllllilllr! LnnillilvenIIIIII’I‘.ul.lt!¢l’llly Islll..l| vl]!!.l|l:l III! ....‘ I: 3|], .Iltl'lisiu. . V, ;7 Spring I constant = friction coefﬁcient = b Figure Problem 6 Figure 4: Problem 8 ...
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