Step 1: Understand what precise speed control needs.
An application needing precise speed control requires a motor whose speed can be commanded and held accurately without relying on slip or mechanical wear parts like brushes and commutators, since both of those introduce speed variation and maintenance issues.
Step 2: Compare the listed motor types.
Induction motors run with speed dependent on load-induced slip, which makes exact speed harder to fix. Universal motors and synchronous motors are usable in specific niches, but a Brushless DC motor uses electronic commutation with feedback from position sensors, allowing the drive electronics to set and hold a precise speed.
Step 3: Confirm the correct choice.
Because a BLDC motor is electronically controlled with no mechanical commutator, it gives smooth, accurate, and repeatable speed control, which is exactly why it dominates precision applications such as robotics and computer drives.
\[ \boxed{\text{Brushless DC motor}} \]