Waffle mode mitigation in adaptive optics systems: A constrained Receding Horizon Control approach

Konnik, Mikhail V.; Doná, José A. De

doi:10.1109/acc.2013.6580355

Cited by 6 publications

(7 citation statements)

References 19 publications

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“…Dynamic matrices for state space formulation are large (ultralarge DMs can have more than 100 × 100 actuators), and usually augmented with at least two sample delays. The specific challenges are: 1) the control signal has hard constraints that cannot be violated or softened (mirror's surface might be damaged); 2) specific additional constraints may be required (maximum actuators movement, waffle 2 mode [34], [35]); 3) limited time for computation of a control input, which must be solved within 1 ms or faster. This paper attempts to address the aforementioned problems using constrained RHC with QP algorithms.…”

Section: Motivation and Challenges For Constrained Rhc In Aomentioning

confidence: 99%

“…1) respecting hard constraints on the control input prevents surface damage of a DM; 2) mitigate specific modes, such as a waffle mode [34], [35]. Constrained RHC is considered as a safeguard against potential mirror's surface damage.…”

Section: Motivation and Challenges For Constrained Rhc In Aomentioning

confidence: 99%

“…RHC can be used for waffle mode mitigation via additional constraints in a form of linear inequalities. This is out of the scope of this paper, but has been considered in[34].…”

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confidence: 98%

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Feasibility of Constrained Receding Horizon Control Implementation in Adaptive Optics

Konnik

Doná

2015

IEEE Trans. Contr. Syst. Technol.

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Adaptive optics (AO) provide real-time compensation for atmospheric turbulence to improve the resolution of images acquired by ground-based optical telescopes. The actuators in deformable mirrors, which are used as correctors, are constrained by a maximal allowable movement. The control techniques used in current AO systems do not account for these constraints, leading to inferior performance and a risk of damage of the deformable mirror's surface. This paper presents a feasibility study for receding horizon control (RHC) with online constrained quadratic programming (QP). The results of numerical simulations provided in this paper are based on realistic models obtained from an optical test-bench. We compare QP algorithms that represent three main methods for convex optimization: 1) interior point; 2) active set (AS); and 3) gradient-based algorithms. It is shown that constrained RHC is computationally feasible for moderate-size AO systems using hot-started structure-exploiting AS QP solvers with bound constraints. An evaluation of performance indicates that RHC is advantageous in terms of atmospheric turbulence rejection in the case of active constraints.

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Section: Motivation and Challenges For Constrained Rhc In Aomentioning

confidence: 99%

Section: Motivation and Challenges For Constrained Rhc In Aomentioning

confidence: 99%

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Feasibility of Constrained Receding Horizon Control Implementation in Adaptive Optics

Konnik

Doná

2015

IEEE Trans. Contr. Syst. Technol.

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“…In order to estimate the wavefront aberrations introduced by either the stacked-actuator or the bimorph deformable mirror, the Shack-Hartmann wavefront sensor [53][54][55][56][57][58] was used. The Shack-Hartmann wavefront sensor is a wellknown device.…”

Section: Maximum Input Voltage −30…+130 V −200…+300 Vmentioning

confidence: 99%

Atmospheric turbulence generator: software and hardware implementation of Kolmogorov phase screen simulation system

Galaktionov,

Sheldakova,

Toporovsky

et al. 2024

Laser Resonators, Microresonators, and Beam Control XXVI

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Atmospheric turbulence causes refractive index fluctuations that introduce extra distortions to the wavefront of the propagated radiation. It degrades the resolution of the telescope for imaging applications and reduces the radiation power density in focusing applications. One of the possible ways of research the impact of the turbulence is to numerically simulate the spectrum of refractive index fluctuations, to reproduce it using a wavefront corrector and to measure the resultant wavefront using a Shack-Hartmann sensor. In this paper, we developed turbulence simulator software that generates the sequence of phase screens with Kolmogorov spectra. We reconstructed the generated set of phase screens using a stacked-actuator deformable mirror.

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“…In a conventional Shack-Hartmann technique [54][55][56][57][58][59][60][61][62], the wavefront of the incident radiation is divided into a number of sub-apertures by means of lenslet array. Lenslet array is a thin, flat base with a grid of micro lenses (lenslets) etched on the base.…”

Section: Conventional Shack-hartmann Wavefront Sensormentioning

confidence: 99%

Wide-aperture multichannel Shack-Hartmann sensor for multispectral wavefront measurements

Galaktionov,

Nikitin,

Sheldakova

et al. 2024

Laser Resonators, Microresonators, and Beam Control XXVI

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A multispectral wavefront sensor can be used to perform a single-shot spatio-temporal characterization of a laser pulse. In order to measure the spatio-spectral electric field, a laser pulse can be spectrally modulated, separated and measured by a wavefront sensor. In order to simplify the experimental setup and hardware control, the single wavefront sensor can be used. In this research we discuss the development of the multi-channel wide-aperture high-resolution Shack-Hartmann sensor for multispectral wavefront sensing. The whole sensor area of 15×15 mm was divided into 4 logical apertures, each for separate laser beam. The development and calibration procedure are described. The wavefront sensor control software is developed and tested.

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Waffle mode mitigation in adaptive optics systems: A constrained Receding Horizon Control approach

Cited by 6 publications

References 19 publications

Feasibility of Constrained Receding Horizon Control Implementation in Adaptive Optics

Feasibility of Constrained Receding Horizon Control Implementation in Adaptive Optics

Atmospheric turbulence generator: software and hardware implementation of Kolmogorov phase screen simulation system

Wide-aperture multichannel Shack-Hartmann sensor for multispectral wavefront measurements

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