Premium
Bounded‐error state and parameter estimation of tip‐tilt disturbances in adaptive optics systems
Author(s) -
Khemane Firas,
AbbasTurki Mohamed,
Durieu Cécile,
Raynaud HenriFrançois,
Conan JeanMarc
Publication year - 2014
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2429
Subject(s) - bounded function , adaptive optics , tilt (camera) , control theory (sociology) , inversion (geology) , computer science , contraction (grammar) , context (archaeology) , interval (graph theory) , algorithm , mathematics , optics , mathematical analysis , artificial intelligence , physics , geometry , medicine , paleontology , control (management) , structural basin , biology , combinatorics
SUMMARY The main objective of this paper was to estimate tip‐tilt disturbances in adaptive optics systems. In a bounded‐error context, set inversion methods based on interval analysis are used to guarantee both state and parameter estimation of tip‐tilt disturbances. Consequently, two methods are performed. The first method is based on contraction–bisection, and the second one is based only on contraction. Both methods are thus compared, and results are discussed according to computational time and pessimism introduced on each estimated parameter. Copyright © 2013 John Wiley & Sons, Ltd.