NDLI: Constrained control of low order adaptive optics systems using a fast suboptimal solution based on “feedback from coupling”

Content Provider	IEEE Xplore Digital Library
Author	Konnik, M. De Dona, J. Welsh, J.S.
Copyright Year	2012
Description	Author affiliation: Fac. of Eng. & Built Environ., Univ. of Newcastle, Callaghan, NSW, Australia (De Dona, J.; Welsh, J.S.) \|\| Sch. of Electr. Eng. & Comput. Sci., Univ. of Newcastle, Callaghan, NSW, Australia (Konnik, M.)
Abstract	This paper presents a suboptimal control technique based on the approximate constrained inverse of the Hessian matrix. The Hessian matrix is split into its diagonal part (the decoupled problem with a trivial inverse) and the off-diagonal part (the coupled component). Instead of the exact inversion of the Hessian matrix and solution of the Quadratic Programming (QP), an iterative approximate constrained inverse is calculated. The control problem can be therefore viewed as a decentralised control formulation with corrections from coupling - that is, feedback from coupling. The results of numerical simulations for a MIMO coupled system are reported. The MIMO system models a low-order adaptive optics system with a deformable mirror driven by an array of piezoelectric actuators. A comparison of the proposed method against Model Predictive Control with QP solvers is performed.
Starting Page	313
Ending Page	319
File Size	250951
Page Count	7
File Format	PDF
e-ISBN	9781922107633
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-11-15
Publisher Place	Australia
Access Restriction	Subscribed
Rights Holder	Institute of Engineers, Australia
Subject Keyword	Couplings Jacobian matrices Actuators Atmospheric modeling Adaptive optics MIMO Convergence
Content Type	Text
Resource Type	Article

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