I. Introduction
Owing to its benefits of no friction, no clearance, monolithic structure, and ease of miniaturization, flexure-based mechanisms have been implemented in a variety of precision devices, including micropositioners, microgrippers, and other micromanipulators [1], [2], [3], [4], [5], [6], [7]. In particular, the compliant micropositioner is popularly applied in the fields of biomedical engineering, advanced manufacturing, micromanipulation, and microassembly [8], [9], [10], [11], [12], [13], [14]. According to the number of motion degrees of freedom (DOF), flexible translational micropositioners can be categorized into three types, i.e., one-dimension (1-D) (X/Y), 2-D (XY), and 3-D (XYZ) stages [15], [16], [17]. As the dimension of motion increases, so does its design and manufacture complexity. Given their operational flexibility and functional integration, flexure-based XYZ micropositioners are demanded in various application circumstances.