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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» ' ”
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2 +3$RC (+25% "315i ailizira.12?!gag!51.3.Ilzfixmuﬁuaﬂhinsuauuﬁnﬂﬂiuﬂ ﬁg»: llrnvlnlgfl‘tluflPllllilllr! LnnillilvenIIIIII’I‘.ul.lt!¢l’llly Islll..l vl]!!.ll: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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 Fall '07
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