Obstructive sleep apnea (OSA) is a common disorder characterized by recurrent collapse of the upper airway during sleep. OSA patients have a small upper airway that is kept patent during wakefulness by a compensatory increase in upper airway (UA) dilator muscle (e.g. genioglossus) activity. At sleep onset this compensation is reduced or lost, resulting in upper airway narrowing or collapse. Previous studies of upper airway muscle training showed variable results on OSA, but so far there has not been any practical, long-term, systematic upper airway muscle training developed or studied as the treatment of OSA. In theory, strengthening the upper airway muscle with exercise training in theory helps maintain a patent airway during sleep. Therefore, investigators aim to test the hypothesis: 1) UA muscle training can improve sleep apnea in some patients with OSA, including those already receiving treatment with PAP or oral appliance therapy. 2) Muscle training is a viable therapy for a definable subset of OSA patients. Investigators hypothesize that patients with OSA who have mild or moderately compromised upper airway anatomy will benefit the most. 3)There will be a positive association between the changes in muscle function and improvement in OSA severity.