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Prévia do material em texto

Problem 3.49PP
Consider the following second-order system with an extra pole;
«W = ;( *+ P )(^ + 2f
Show that the unit-step response is 
y(0 = 1 +Ae~^ +Be-^* an(coat - e),
where
A =
«3-2»P
s(s+p)(s“ +25ti>i,s+ti>«’ ) 
Y ( s ) = ^ + ^ +
Step 2 of 5
Solving, we get
K i= l
K j= A
V
And
2 2 ^ ( K ’ )(p=-2?avP+aw’ )