The boost converter with ideal switching devices will be
considered in this paper which is operating with the
switching period and duty cycle, D. The converter is
considered to operate in continuous conduction mode
(CCM). Hence, the state equations can be easily obtained by
applying Kirchhoff’s voltage law on the loop containing the
inductor meanwhile Kirchhoff’s current law on the loop
which is containing the capacitor branch.
The equations of the inductor current iL and the capacitor
voltage VC describing the converter behavior during the ON
state from the corresponding sub-circuit as shows in Fig. 2(a)
is