Shape Control of a Unimorph Deformable Mirror for Space Active Optics under Uncertainties
Abstract
:1. Introduction
2. Framework of Quasi-Static Control
3. Mechanics of Morphing Behaviour of a Deformable Mirror with Environmental and Structural Uncertainties
3.1. Ferroelectric Behaviour of Actuation Layer
Thermal Deformation
3.2. Variation on Morphing Capability with Surface Curvature
3.2.1. Compensation of Initial Shape Aberration
3.3. Stress Induced Geometric Stiffness in Composite Mirrors
3.3.1. Change of Morphing Strokes by Edge Loads
3.3.2. Release of Internal Stress among Layers
4. Influence on the Jacobian Matrix by Uncertain Factors and Control Strategies
4.1. Singular Value Decomposition of Perturbed Jacobian
4.2. Open Loop Control and Iterative Control
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
AO | Adaptive Optics or Active Optics |
CTE | Coefficient of Thermal Expansion |
DM | Deformable Mirror |
DLS | Damped Least Squares |
DoF | Degree-of-Freedom |
FoV | Field-of-View |
FE | Finite Element |
GS | Guide Star |
LS | Least Squares |
PMN-PT | Lead Magnesium Niobate—Lead Titanate |
PSD | Power Spectral Density |
PV | Peak to Valley |
PVDF-TrFE | PolyVinylidene Fluoride-co-TriFluoroEthylene |
PZT | Lead Zirconate Titanate |
SLM | Spatial Light Modulator |
SR | Strehl Ratio |
SVD | Singular Value Decomposition |
RMS | Root Mean Square |
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Temperature Change | Actuators Failure | ||||
---|---|---|---|---|---|
[] | Malfunctioning Number [/] | ||||
−20 | 0.521 | 0.904 | 0 | 0.500 | 0.900 |
−10 | 0.511 | 0.902 | 5 | 0.500 | 0.900 |
0 | 0.500 | 0.900 | >5 | >1 | |
10 | 0.489 | 0.898 | Complex Stress Status | ||
20 | 0.477 | 0.895 | Residual Stress in Layers | ||
30 | 0.465 | 0.893 | with Random Edge Tension | 0.526 | 0.905 |
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Wang, K.; Yu, Y.; Preumont, A. Shape Control of a Unimorph Deformable Mirror for Space Active Optics under Uncertainties. Micromachines 2023, 14, 1756. https://doi.org/10.3390/mi14091756
Wang K, Yu Y, Preumont A. Shape Control of a Unimorph Deformable Mirror for Space Active Optics under Uncertainties. Micromachines. 2023; 14(9):1756. https://doi.org/10.3390/mi14091756
Chicago/Turabian StyleWang, Kainan, Yian Yu, and André Preumont. 2023. "Shape Control of a Unimorph Deformable Mirror for Space Active Optics under Uncertainties" Micromachines 14, no. 9: 1756. https://doi.org/10.3390/mi14091756