Wavefront Control Strategies for Large Active Thin Shell Primaries with Unimorph Actuators

Author:

Wang Kainan12ORCID,Yu Yian1,Preumont André3

Affiliation:

1. School of Remote Sensing and Information Engineering, Wuhan University, Wuhan 430072, China

2. Hubei Luojia Laboratory, Wuhan 430072, China

3. Department of Control Engineering and System Analysis, Université Libre de Bruxelles (ULB), CP. 165-55, 50 Av. F.D. Roosevelt, B-1050 Brussels, Belgium

Abstract

This paper presents various aspects of the wavefront control strategies for an ultra-lightweight composite reflector made of polymers for the large primary of a space telescope, and the shape control is made by a set of patterned unimorph strain actuators attached to the reflector. It starts with an analytical investigation of the mechanical behaviors of a strain-actuated curved shell, resulting in the accurate prediction of typical features, such as the damped wave deformation at the transition between electrodes and the limited morphing amplitude of a “print-through” actuation, which indicates that the curvature-induced rigidity deteriorates the performances of the forming accuracy of the active reflector and the morphing stroke of the actuators. The morphing capabilities are evaluated with both petal-like segmented and monolithic configured reflectors by numerical tests on forming target shapes of Zernike modes with various patternings of electrodes, and the structural dynamics are examined. Finally, a compound control strategy is proposed, which uses a deformable relay mirror to compensate for the residual surface error corrected partially by the active unimorph primary mirror, showing a great relaxation of the shape error budget of the thin-shell primary, especially for on-axis observation.

Funder

National Natural Science Foundation of China

Open Fund of Hubei Luojia Laboratory

Fundamental Research Funds for the Central Universities

Natural Science Foundation of Hubei Province

ESA-ESTEC

Publisher

MDPI AG

Subject

Control and Optimization,Control and Systems Engineering

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