Error Modeling and Flexure-Based Calibration of Large-Aperture Optical Adjustment Mechanisms Using an Improved Particle Swarm Optimization Algorithm

This paper proposes a kinetostatic modeling and error calibration method based on an improved particle swarm optimization (PSO) algorithm. Compliance modeling and energy-based analysis are employed to equivalently treat structural clearances and geometric errors, establishing an error model with rigid-flexible decoupling.

A global sensitivity index (GSI) is introduced to evaluate parameter influence and guide optimization. Furthermore, a global-dynamic multi-subpopulation collaborative PSO is developed to coordinate local refinement and global exploration, mitigating premature convergence and enhancing calibration accuracy. Based on the calibrated error model, adjustment compensation is implemented.