Define what you mean by "bark air". And describe what type of furnace/stoker that you have where you are trying to do this. Do you have traveling grates, fixed grates, (no grates), or what, and what type of gas burner/registers do you have?
I don't think you are going to find combination bark/anything control schemes on the web. You are going to have to look at specialized publications like TAPPI or in specific vendor literature for vendors who specialize in those types of controls.
You have two problems here. First, bark needs lots of excess air normally speaking, while the gas burners can be regulated to within a few O2 percentage of stochiometric.
Normally there is enough excess air associated with the bark side of the process so that you can run your gas burner registers tight on air and still have enough excess air in the funace to keep from smoking. And besides, with the bark smoke, who would notice a little incomplete gas combustion smoke, not that you would want any.
Give us a few more details about what it is that you are trying to do and maybe we can help you.
rmw