Write a function PI$\_$Cont$$that models the PI Controller. The function should take as input the current state of the system $,$ calculate a control signal s$,$ and return it as output.

Test your function at the initial conditions.

function s$=$PI$\_$Cont$($y$)$

$\%$ implement the PI controller function

Kb$=0\mathrm{.}0$;

Kc$=9\mathrm{.}0$;

KI$=0\mathrm{.}18$;

Cb$\_$SP$=0\mathrm{.}32$;

Cb$=$y$(2)$;

Ierr$=$y$(4)$;

s$=$Kb$+$Kc$*($Cb$\_$SP$-$Cb$)+$KI$*$Ierr;

end

Part $($b$)$

Write a function getf$$that evaluates the right$-$hand side function of this ODE$-$IVP system at the current state $$and control signal s$.$

Test your funciton at the initial conditions.