Adaptive regulation in bimodal linear systems

Wu, Zhizheng; Amara, Foued Ben

doi:10.1002/rnc.1422

Cited by 15 publications

(4 citation statements)

References 32 publications

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“…According to the internal model principle, let θ = θ 1 θ 2 • • • θ n q −1 θ n q T be the free parameter, then the attenuation conditions of the deterministic residual vibration can be written as follows [32]:…”

Section: Youla Parameterization Of the Inner-loop Central Controllermentioning

confidence: 99%

Adaptive Deterministic Vibration Control of a Piezo-Actuated Active–Passive Isolation Structure

Li¹,

Yuan²,

Qian³

et al. 2021

Applied Sciences

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With the improvement of the performance of optical equipment carried by on-orbit spacecraft, the requirements of vibration isolation are increasing. Passive isolation platforms are widely used, but the ability to suppress the low-frequency deterministic vibration disturbance is limited, especially near the system’s natural frequency. Therefore, an active vibration control strategy is proposed to improve passive isolation performance. In this paper, a Youla parameterized adaptive active vibration control system is introduced to improve the isolation performance of a piezo-actuated active–passive isolation structure. A linear quadratic Gaussian (LQG) central controller is first designed to shape the band-limited local loop of the closed-loop system. Then, the central controller is augmented into a Youla parameterized adaptive regulator with the recursive least square adaptive algorithm, and the Youla parameters (Q parameters) can be adjusted online to the desired value to suppress the unknown and time-varying multifrequency deterministic vibration disturbance. In the experiment, the residual vibration with respect to the combination of multiple frequencies is effectively suppressed by more than 20 dB on average, and a quick response time of less than 0.3 s is achieved when the deterministic residual vibration changes suddenly over time. The experimental results illustrate that the proposed adaptive active vibration control system can effectively suppress the low-frequency deterministic residual vibration.

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Section: Youla Parameterization Of the Inner-loop Central Controllermentioning

confidence: 99%

Adaptive Deterministic Vibration Control of a Piezo-Actuated Active–Passive Isolation Structure

Li¹,

Yuan²,

Qian³

et al. 2021

Applied Sciences

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“…Each controller within this set has the structure of an observer-based controller whose dynamics is augmented with a stable mapping, or parameter Q, which can be chosen as desired. [18,19] Consider the discrete-time linear system model of Equation (12) to be given by:…”

Section: Q Parameterization Of Stabilizing Controllersmentioning

confidence: 99%

Dynamic Head-Disk Interface Modeling and Adaptive Control of a Hybrid Actuator for Optical Data Storage Systems

Wang

et al. 2014

International Journal of Optomechatronics

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In the near-field recording (NFR) system, the gap between the lens and disk will drop down to 100 nm. However, the disk vibration and force disturbance make it difficult to maintain the desired flying height during disk operation, and the lens-disk collision can easily occur. It is proposed in this article to design a hybrid actuator system which combines both advantages of the flying slider used in hard disk drives and the voice coil actuator used in optical disk drives. The dynamic head-disk interface model of the hybrid actuator is first developed, then an adaptive regulation approach is proposed to control the flying height at its desired value despite the unknown disturbances. Simulation and experimental results are presented to illustrate the effectiveness of the proposed flying height control approach.

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“…In the following, a decentralized recursive least squares (RLS) algorithm with a forgetting factor is considered to adjust the parameters of the system Q , as follows [10]:…”

Section: K Ax K Bu K E K Y K CX K Dw Kmentioning

confidence: 99%

Adaptive surface shape control for magnetic fluid deformable mirrors

Huang

2015

2015 International Conference on Control, Automation and Information Sciences (ICCAIS)

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Adaptive Optics (AO) is a technology that can measure and correct the aberrated wavefront in real-time. A typical AO system mainly consists of a wavefront corrector, a wavefront sensor and a control unit connecting the former two to perform a correction based on information from the wavefront measuring device. Currently, the widespread used corrector is solid deformable mirrors. Compared to solid deformable mirrors, magnetic fluid deformable mirrors (MFDMs) are much cheaper and can offer larger stroke to correct large aberration. In this paper, a magnetic fluid deformable mirror is developed to be the wavefront corrector and a closed-loop adaptive control algorithm is adopted for the surface shape regulation. Simulation and experimental results illustrate the proposed adaptive method is able to regulate the surface shape at a desired value and against the unknown disturbances. Keywords-adaptive optics; magnetic fluid deformable mirror; adaptive controller.

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Adaptive regulation in bimodal linear systems

Cited by 15 publications

References 32 publications

Adaptive Deterministic Vibration Control of a Piezo-Actuated Active–Passive Isolation Structure

Adaptive Deterministic Vibration Control of a Piezo-Actuated Active–Passive Isolation Structure

Dynamic Head-Disk Interface Modeling and Adaptive Control of a Hybrid Actuator for Optical Data Storage Systems

Adaptive surface shape control for magnetic fluid deformable mirrors

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