title: Optimal control, observers and integrators in adaptive optics.
abstract: The fundamental issue of residual phase variance minimization in adaptive optics (AO) loops is addressed here from a control engineering perspective. This problem, when suitably modeled using a state-space approach, can be broken down into an optimal deterministic control problem and an optimal estimation problem, the solution of which are a linear quadratic (LQ) control and a Kalman filter. This approach provides a convenient framework for analyzing existing AO controllers, which are shown to contain an implicit phase turbulent model. In particular, standard integrator-based AO controllers assume a constant turbulent phase, which renders them prone to the notorious wind-up effect.
authors.forename: Caroline
authors.initials: C
authors.lastname: Kulcsár
authors.forename: Henri-François
authors.initials: HF
authors.lastname: Raynaud
authors.forename: Cyril
authors.initials: C
authors.lastname: Petit
authors.forename: Jean-Marc
authors.initials: JM
authors.lastname: Conan
authors.forename: Patrick
authors.initials: P
authors.lastname: Viaris de Lesegno