IR2111 is an Half Bridge driver not H-Bridge.
That kind of IC used for half-bridge power design (switching power supply), the others are, full-bridge, fly back, and forward converter.
Please look at the level shift stage (datasheet block diag), they need more higher voltage to operate normally. The bootstrap diode and caps isn't functional, if the low side mosfet not been activated (the caps charged through diode when output is low and will float higher to supply the high side mosfet Vgs when output is high).
For H-Bridge, you need more higher voltage to drive N-MOSFET (to supply the Vgs). But you may used P-MOSFET (IRF9540) for the high side driver without more voltage needed.
Gate resistor (ordinary 10-15ohm) used to prevent gate oscillation.