H Suboptimal controller design for adaptive optic systems

Bilal Erol, Berk Altıner, Erkan Adalı, Akin Delibasi

Research output: Contribution to journalArticle

Abstract

In this paper, an alternative approach to conventional H control is proposed for adaptive optic (AO) systems. In order to account for the dynamics of the deformable mirror (DM), the Kirchhoff plate equation is considered. Phase wavefront aberrations, which are the effect of atmospheric turbulence, are modelled using the orthogonal set of Zernike polynomials. The first part of this study concerns the derivation of mathematical models for the DM and the atmospheric turbulence. The AO systems used for disturbance rejection concentrate on a specific frequency band, as the disturbance occurs in that region. However, the conventional weighted H controller is not applicable due to its order. The proposed controller handles this problem by using frequency weighted balanced model reduction. The efficiency of the proposed approach is examined on Zernike’s tip and tilt, focus, astigmatism, coma, trefoil, spherical, secondary astigmatism and quadrafoil modes.

Original languageEnglish
Pages (from-to)2100-2113
Number of pages14
JournalTransactions of the Institute of Measurement and Control
Volume41
Issue number8
Early online date27 Nov 2018
DOIs
Publication statusPublished - 1 May 2019
Externally publishedYes

Keywords

  • Adaptive optic systems
  • atmospheric turbulence
  • deformable mirror
  • wavefront correction
  • ℋ control

ASJC Scopus subject areas

  • Instrumentation

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