wife can sponsor her husband in extremely exceptional cases. You have to hold one of the highest senior positions in the Company. Also the company you work for makes a difference. One thing it's a world-wide Company based in Qatari free zone. Another thing is some unknown little kakamayka with 3 and a half employees. Also, if you aren't a westerner and your salary less than about 20-25K, forget about it. 

You won't find any Qatar's regulation about a wife sponsoring her husband, as there are no such regulations. As i said, every case is considered individually.
Don't take me wrong, but I don't want you to have high expectations with regards to this matter and later to get disappointed.  And frankly speaking, your  particular case has next to zero chances to succeed.