# Design, Simulation and High Precision Tracking Control of a Piezoelectric Optical Stabilization Platform

## TL;DR

A high-precision piezoelectric platform for optical stabilization was designed and tested to improve imaging in dynamic environments.

## Contribution

A novel piezoelectric-driven OIS platform with submicron tracking accuracy using a hybrid optimization algorithm is introduced.

## Key findings

- The platform achieved a workspace of 53.92 μm × 53.76 μm and motion resolution of 30 nm.
- Tracking errors of 0.43 μm (X-axis) and 0.47 μm (Y-axis) were achieved using a composite controller.
- The first-order resonant frequency reached 356.69 Hz, confirming high-frequency performance.

## Abstract

Optical image stabilization (OIS) is crucial for improving airborne opto-electronic imaging performance under dynamic conditions. This study presents a two-dimensional piezoelectric-driven OIS platform capable of compensating linear image shift errors. A motion platform integrating a bridge amplification mechanism and right-angle guiding beams was developed, and its theoretical model was validated through finite element analysis (FEA). To enhance the platform’s repeatability, the hysteresis of the piezoelectric actuator was described using the Bouc-Wen model, and was optimized using a Hybrid Genetic Algorithm and Particle Swarm Optimization (HGAPSO). Experimental results demonstrated that the platform achieves a workspace of 53.92 μm × 53.76 μm, a motion resolution of 30 nm, a maximum coupling error of 2.28%, and a first-order resonant frequency of 356.69 Hz. A composite controller incorporating HGAPSO attained submicron tracking accuracy, with errors of 0.43 μm and 0.47 μm along the X and Y axes, respectively. Strong agreement among theoretical analysis, FEA, and experimental results confirms the platform’s precision and effectiveness meeting the requirements of the OIS. This work provides valuable guidance for the development of high-frequency OIS systems in highly dynamic operational environments.