Identification of Overactuated Deformable Mirror Systems

This article is a research paper that presents a unified approach for identifying the flexible dynamic behavior of next-generation deformable mirrors, which are increasingly complex due to stringent performance requirements in adaptive optics. The paper outlines a frequency domain-based approach utilizing local modeling techniques to analyze mechanical systems with a large number of spatially distributed actuators and a limited number of sensors. It details the challenges posed by low-frequency flexible dynamics in these systems and the need for accurate modeling to validate designs and control architectures. The proposed methodology is applied to an experimental case study involving a deformable mirror, demonstrating its effectiveness in identifying the system's dynamics. The paper also discusses existing identification approaches and highlights the limitations of traditional methods, emphasizing the need for tailored techniques that can address the unique characteristics of overactuated systems. The findings contribute to the field of mechatronics by providing insights into the modeling and control of complex mechanical systems.