Inclusion Criteria:  Severe obstructive sleep apnea (apnea-hypopnea index ≥30 / hour) Body mass index ≥ 30 kg / m² age between 30 and 75 years old written consent  Exclusion Criteria:  Presence of contraindications to perform exercise training (neuromuscular disease, orthopedic cause, acute coronary syndrome or stroke in the previous three months) Active infection, chronic inflammatory disease, cancer under treatment. Systemic treatment with immunosuppressants or corticosteroids Obstructive Sleep Apnea treated by Continuous Positive Airway Pressure or mandibular advancement device in the 3 months preceding inclusion Participation in a rehabilitation program scheduled within six months of inclusion Predominantly central sleep apnea syndrome (AC> 50%) Heart failure with Left Ventricular Ejection Fraction <40% known Bariatric surgery in the previous 6 months or bariatric surgery project in the 6 months Alcohol> 14 drinks per week Inability to understand and / or answer questionnaires. Refusal to use a smartphone or digital device Inability to access an internet connection at home. Subject in a period of relative exclusion with respect to another protocol or for which the maximum annual amount of compensation of € 4,500 has been reached. Subject not affiliated with a social security scheme, or not beneficiary of such a scheme. Pregnant or breastfeeding woman, patient unable to give her protected adult consent, vulnerable people Subject deprived of liberty by judicial or administrative decision