Decentralized Youla parameterized adaptive regulation with application to surface shape control for magnetic fluid deformable mirrors

Wu, Zhizheng; Qian, Fanfan; Wang, Yuanyuan; Wu, Jianxin; Dziki, Merveilles; Zhang, Zhu

doi:10.1016/j.mechatronics.2020.102346

Cited by 4 publications

(2 citation statements)

References 32 publications

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“…In the aforementioned equation, is the spectator gain matrix, and is the output feedback matrix. The modules and J may be combined, and the resulting module has the form [6].…”

Section: Youla Parameterized Adaptive Control Algorithm For Upper Coilsmentioning

confidence: 99%

“…Where 𝑣(𝑘) = 𝑇 12 (q −1 )𝐻(q −1 )𝑟(𝑘) , 𝜙 The signal 𝑒̅ (𝑘) = [𝑇 12 (𝑞 −1 )𝑄 ̅ 𝑘 − 𝑄 ̅ 𝑘 𝑇 12 (𝑞 −1 )]𝐻(𝑞 −1 )𝑟(𝑘) and the correction error 𝑒̃0(𝑘) = ⅇ(𝑘) − 𝑒̅ (𝑘) are defined. From reference [6], the corresponding posterior errors are 𝑒(𝑘 + 1) = 𝜙 𝑇 (𝑘 + 1)𝜃 ̃(𝑘 + 1) + ⅇ 0 (𝑘 + 1). RLS with a time-varying forgetting factor is then used to change the system parameters Q. 𝜃 ̂(𝑘 + 1) = 𝜃 ̂(𝑘) + 𝑃(𝑘)𝜙(𝑘 + 1)𝑒(𝑘 + 1)/(1 + 𝜙 𝑇 (𝑘 + 1)𝑃(𝑘)𝜙(𝑘 + 1))…”

Section: Youla Parameterized Adaptive Control Algorithm For Upper Coilsmentioning

confidence: 99%

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Two-stage control algorithm for magnetic fluid deformation mirror with dual-layer actuators

Guo

Ding

et al. 2023

J. Phys.: Conf. Ser.

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To increase the correction effectiveness of full-order aberration, a control system based on a magnetic fluid flexible mirror with dual-layer actuators is presented. The combined magnetic field created by the Maxwell coil and the double-layer driving coils controls the geometry of the magnetic fluid surface. A model-based optical sensorless control approach for lower layer coils is developed and aimed to enable high magnitude restoration of lower-order aberrations. An adaptive important factor that causes on Youla parameterization, on the other hand, is developed for the upper coils to rectify higher-order residual aberrations. Matlab is used to simulate the algorithm in order to test its performance in full-order aberration correction, and the results reveal that the approach has good correction performance.

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“…In the aforementioned equation, is the spectator gain matrix, and is the output feedback matrix. The modules and J may be combined, and the resulting module has the form [6].…”

Section: Youla Parameterized Adaptive Control Algorithm For Upper Coilsmentioning

confidence: 99%

Section: Youla Parameterized Adaptive Control Algorithm For Upper Coilsmentioning

confidence: 99%

Two-stage control algorithm for magnetic fluid deformation mirror with dual-layer actuators

Guo

Ding

et al. 2023

J. Phys.: Conf. Ser.

Self Cite

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show abstract

Youla Parameterized Control Against Line Spectrum Vibration with an Adaptive Forgetting Factor Improved by a Genetic Algorithm

et al. 2023

2023 9th International Conference on Control, Automation and Robotics (ICCAR)

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MIMO Youla Parameterized Adaptive Aberration Correction Based on Magnetic Fluid Deformable Mirror for Liquid Mirror Telescope

Qian,

Ding,

et al. 2024

IEEE/ASME Trans. Mechatron.

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Decentralized Youla parameterized adaptive regulation with application to surface shape control for magnetic fluid deformable mirrors

Cited by 4 publications

References 32 publications

Two-stage control algorithm for magnetic fluid deformation mirror with dual-layer actuators

Two-stage control algorithm for magnetic fluid deformation mirror with dual-layer actuators

Youla Parameterized Control Against Line Spectrum Vibration with an Adaptive Forgetting Factor Improved by a Genetic Algorithm

MIMO Youla Parameterized Adaptive Aberration Correction Based on Magnetic Fluid Deformable Mirror for Liquid Mirror Telescope

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