Collaborative control with multistage dynamic actuation of active mirrors in large telescopes with environmental disturbances

This paper presents a part of an initial study on a collaborative control strategy for multiple active mirrors in a large telescope. The study examines the structural dynamics from individual substructures to the overall telescope, providing a detailed mathematical formulation for assembling subunits within a comprehensive model. Additionally, a hierarchical control system is envisioned, integrating various sensor and actuator sources to correct the mirror shape across different temporal and spatial bandwidths.