Hi,
I think you shouldn't be using this transistor. The first line in the datasheet states: "Designed for general-purpose amplifier and
low-speed switching
applications."
200kHz is by no means low-speed switching.
For H-bridge, I think 200kHz is off limits, you should be keeping frequency below 100kHz, around 50-60 kHz is ideal, I guess.
You also need to realize, this is a MOSFET based H-bridge circuit and you need hi-side, lo-side drive. So I suggest, instead of using transistors and discrete circuitry, directly go to using a hi-side, lo-side driver. One of the most common is IR2110.
You should use IR2110 or any similar driver, this will spare you the hassle of designing your own transistor-based driver, that too for a hi-side drive at high frequency, which becomes quite complicated.
You should take a look at the datasheet and application notes:
www.irf.com/product-info/datasheets/data/ir2110.pdf
www.irf.com/technical-info/appnotes/an-978.pdf
Hope this helps.
Tahmid.