Ventilator-induced diaphragmatic dysfunction appears to contribute to slow weaning from mechanical ventilation. Several trials of inspiratory muscle training to facilitate weaning in intensive care have been performed, with inconsistent results, utilizing different methods of IMT in different populations. In this study, the investigators want to compare the incidence of 3 inspiratory muscle training programs on inspiratory strength, on difficult to wean patients in intensive care unit. This is a multi-center randomized trial not blinded with 3 parallels groups: * Martin's group: a threshold-based IMT is performed like used by Martin in a randomized trial in 2011, in a view of inspiratory strength increase. * Cader's group: a threshold-based IMT is performed like used by Cader in a randomized trial in 2010 , in a view of inspiratory endurance increase. * EDRIC's group: a new treshold-based IMT is performed, in a view of both inspiratory strength and endurance increase. The investigators think that a new threshold-based IMT performed in a view of both inspiratory strength and endurance increase, is more effective and well tolerated than the 2 others protocols.
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Maximal Inspiratory Pressure score (inspiratory muscle strength index) performed by an external electronic device connected with a unidirectional valve.
Timeframe: Baseline and up to day 25