The problem is, if you don't include a diode then when the battery voltage drops for 12ms it will discharge your capacitor. A battery dropout in a vehicle is not due to disconnection of the power source but a drop in the voltage source so the impedance is low.
I have attached a simulation showing the difference. With no diode the power will drop to zero almost straight away. It also shows that 220uF is not large enough for 12ms brownout at 200mA. You can work that out easily - dv/dt = I/C.
My question about the regulated voltage is - what voltage are you regulating to? 5V for example? You need to ensure that during brownout the voltage doesn't dip so far that you lose regulation.
Keith.