In a control apparatus, an extractor extracts, from a rotational speed of a rotating member, a vibration component included in the rotational speed of the rotating member. The system includes a basestation that communicates with multiple field units via a wireless signal and in accordance with a wireless protocol. By varying the chemical composition, the selectivity and etch rate of the boron rich material can be optimized for different etch chemistries. The crystalline hydrous alumina precursor preferably includes an alumina hydroxide, such as crystalline boehmite, crystalline bayerite, or a plurality thereof differing in average crystallite sizes by at least about 1 nm. Articles manufactured from such fatigue-resistant nickel-titanium alloys can be more durable because they are more resistant to repetitive strain and crack propagation.