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$H_{\infty}$ control design for an adaptive optics system

Nikolaos Denis; Douglas Looze; Jim Huang; David Castañon — 1999

Kybernetika

In this paper we first present a full order $H_{\infty}$ controller for a multi- input, multi-output (MIMO) adaptive optics system. We apply model reduction techniques to the full order $H_{\infty}$ controller and demonstrate that the closed-loop (CL) system with the reduced order $H_{\infty}$ controller achieves the same high level of performance. Upon closer examination of the structure of the reduced order $H_{\infty}$ controller it is found that the dynamical behavior of the reduced order $H_{\infty}$ controller can be accurately approximated by...

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