- #1
gfd43tg
Gold Member
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Homework Statement
Homework Equations
The Attempt at a Solution
I don't think you need to see the problem to figure this one out, if needed I will post it (takes up a lot of space in the thread).
I know for a PI controller, the controller transfer function is given
$$ g_{c} = k_{c} \frac {\tau_{I}s+1}{\tau_{I}s} $$
and the closed loop transfer function is given
$$ g_{CL} = \frac {g_{p} {g_{c}}}{1+g_{p}g_{c}} $$
So I multiply,
$$ g_{CL} = \frac { (\frac {-0.2735}{s^{2}+6.035s+4.146}) (k_{c} \frac {\tau_{I}s+1}{\tau_{I}s}) }{1 + (\frac {-0.2735}{s^{2}+6.035s+4.146}) (k_{c} \frac {\tau_{I}s+1}{\tau_{I}s})} $$
However, I don't know what ##k_{c}## or ##\tau_{I}## are, so I am wondering if there is some what I should know these? Then I can have a numerical answer for part (a).