### ${H}_{\infty}$ control design for an adaptive optics system

Nikolaos Denis, Douglas Looze, Jim Huang, David Castañon (1999)

Kybernetika

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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...