Smart Structures and Systems

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Control-structure interaction in piezoelectric deformable mirrors for adaptive optics

  • Wang, Kainan (Department of Control Engineering and System Analysis, Universite Libre de Bruxelles (ULB)) ;
  • Alaluf, David (European Space Agency - ESA/ESTEC, Opto-Electronics Section) ;
  • Mokrani, Bilal (Department of Mechanical, Materials and Aerospace Engineering, University of Liverpool) ;
  • Preumont, Andre (Department of Control Engineering and System Analysis, Universite Libre de Bruxelles (ULB))
  • Received : 2017.11.06
  • Accepted : 2018.03.08
  • Published : 2018.06.25
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Abstract

This paper discusses the shape control of deformable mirrors for Adaptive Optics in the dynamic range. The phenomenon of control-structure interaction appears when the mirror becomes large, lowering the natural frequencies $f_i$, and the control bandwidth $f_c$ increases to improve the performance, so that the condition $f_c{\ll}f_i$ is no longer satisfied. In this case, the control system tends to amplify the response of the flexible modes and the system may become unstable. The main parameters controlling the phenomenon are the frequency ratio $f_c/f_i$ and the structural damping ${\zeta}$. Robustness tests are developed which allow to evaluate a lower bound of the stability margin. Various passive and active strategies for damping augmentation are proposed and tested in simulation.

Keywords

Acknowledgement

Supported by : China Scholarship Council

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