This study begins with a 4-week period during which participants are monitored while they use an inhaler containing a low dose of inhaled corticosteroid medication. Participants then are assigned to take part in either the BASALT study or the Tiotropium as an Alternative to Long-Acting Beta-Agonists and Corticosteroids (TALC) study, which is a separate Asthma Clinical Research Network (ACRN) study. Participants in BASALT undergo 2 to 4 weeks of adherence testing, which involves using three inhalers that have electronic monitoring devices attached to them. Participants also are asked to measure and record their breathing rates and lung function in a study diary.