Nonlinearity Effects Reduction of an AFM Piezoelectric Tube Scanner Using MIMO MPC

Rana, M. S.; Pota, H. R.; Petersen, Ian R.

doi:10.1109/tmech.2014.2356454

Cited by 45 publications

(19 citation statements)

References 36 publications

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“…In [153], a multi-input multi-output (MIMO) IRC is implemented to speed up the performance of the AFM by considering the cross-coupling effects in the lateral and longitudinal axes of the PTS as symmetric. A MIMO MPC controller with a damping compensator is proposed in [50] to compensate for the cross-coupling effect in the AFM's PTS. The experimental results demonstrate the effectiveness of the proposed controllers which allow the 2-DoF system to have good tracking performance, with response times better than 110 ms, very high accuracy and rejection of cross-coupling and disturbances.…”

Section: Compensation Of Cross-coupling Effectmentioning

confidence: 99%

“…The precision positioning of the PTS depends on the perfect tracking of the reference signals used in the AFM imaging. The high-speed imaging performance of the AFM is limited due to some intrinsic problems of the PTS, such as (i) lightly damped low-frequency resonant modes due to its mechanical structure [38][39][40][41][42]; (ii) nonlinear behavior due to hysteresis and creep [43][44][45][46][47][48][49]; the cross-coupling effect between its axes (in 3D positioning systems like AFMs) [50][51][52][53]; and (iv) thermal drift effect [54][55][56][57][58][59]. Because of these limitations, AFMs suffer in terms of tracking accuracy which creates significant effects in scanned images.…”

Section: Control Challenges Of a Ptsmentioning

confidence: 99%

“…Apart from model-based control methods, advanced controllers, such as the model predictive control (MPC) scheme [50,121], adaptive control scheme [122,123], H ∞ [65,[124][125][126], artificial neural networks (ANNs) [127,128], fuzzy logic control [129,130], sliding mode control [131], repetitive control [132][133][134], and iterative learning control (ILC) [47], have been designed to compensate the hysteresis effect in an AFM's PTS.…”

Section: Compensation Of Hysteresis Effectmentioning

confidence: 99%

See 2 more Smart Citations

A Survey of Methods Used to Control Piezoelectric Tube Scanners in High‐Speed AFM Imaging

Rana

Pota

Petersen

2018

Asian Journal of Control

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In most nanotechnology applications, speed and precision are important requirements for obtaining good topographical maps of material surfaces using atomic force microscopes (AFMs), many of which use piezoelectric tube scanners (PTSs) for scanning and positioning at nanometric resolutions. For control engineers, the PTS is particularly interesting since its ability to enable the AFM to undertake 3D imaging is entirely dependent upon the use of a feedback loop. However, it suffers from various intrinsic problems that degrade its positioning performance, such as: (i) lightly damped low-frequency resonant modes due to its mechanical structure; (ii) nonlinear behavior due to hysteresis and creep; (iii) the cross-coupling effect between its axes (in 3D positioning systems such as AFMs); and (iv) effect of thermal drift. This article presents a survey of the literature on the PTS, an overview of a few existing innovative solutions for its nanopositioning and future research directions. This article will help the reader to walk around the present development of the PTS aimed at meeting the requirements for high-speed AFM imaging.

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Section: Compensation Of Cross-coupling Effectmentioning

confidence: 99%

Section: Control Challenges Of a Ptsmentioning

confidence: 99%

Section: Compensation Of Hysteresis Effectmentioning

confidence: 99%

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A Survey of Methods Used to Control Piezoelectric Tube Scanners in High‐Speed AFM Imaging

Rana

Pota

Petersen

2018

Asian Journal of Control

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“…As the spiral scanning is achieved by applying an external sinusoidal signal, so the internal image analysis software does not allow the user to construct an AFM image. [43]. If the noisy signals (displacements from the X, Y, and Z-axes) are used to construct the spiral image, the resulting image becomes noisy [33].…”

Section: Experimental Investigationsmentioning

confidence: 99%

A Novel Application of Minimax LQG Control Technique for High‐speed Spiral Imaging

Habibullah

Pota

Petersen

2017

Asian Journal of Control

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Over the last two decades, increasing the scanning speed of an atomic force microscopy (AFM) has been attempted either by applying novel controllers, using alternative scanning methods, or by modifying the hardware setup. This paper demonstrates, the first two approaches to achieve high-speed AFM image scanning. A robust minimax linear quadratic Gaussian (LQG) controller is designed and spiral scanning is considered as an alternative scanning method rather than conventional raster scanning. The minimax LQG controller is designed based on an uncertain system model which is constructed by measuring the plant variations due to variations in sample mass and also modeling error between the measured and model frequency responses. This controller is also robust against uncertainties introduced as a result of variations of sample mass, spillover dynamics of the scanner at frequencies higher than the first resonance frequency of the scanner, and variation in plant transfer functions due to temperature and humidity. The designed controller is experimentally implemented on an AFM using a dSPACE ds-1103 real-time prototyping system and open-loop and closed-loop spiral imaging performances are evaluated. The proposed controller provides sufficient damping at the resonant modes to accurately track the sinusoidal reference signal and generate vibration free images. Also, creep, hysteresis, and cross-coupling effects are significantly reduced. The experimental results show that the proposed scheme outperforms the open-loop case and some other existing approaches.

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“…Hysteresis is a common nonlinearity of piezoelectric materials [1][2][3]. Hysteresis is a lagging phenomenon where a physical effect on the smart material lags behind its cause.…”

Section: Introductionmentioning

confidence: 99%

Influence of Hysteresis on the Vibration Control of a Smart Beam with a Piezoelectric Actuator by the Bouc–Wen Model

Zhang

2020

Shock and Vibration

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The hysteresis property in a smart structure has attracted much attention from researchers for several decades. Hysteresis not only affects the response precision of the smart structure but also threatens the stability of the system. This paper focuses on how the hysteresis property influences the control effect of vibration suppression for a smart beam. Furthermore, the Bouc–Wen model is adopted to describe the hysteresis property of a smart beam and the hysteresis parameters of the hysteresis model are identified with a genetic algorithm. Based on the identification results, the hysteresis model is validated to represent the hysteresis property of the smart beam. Based on the hysteresis model, model reference adaptive control is designed to explore the influence of hysteresis on the vibration control of the smart beam. With some simulations and experiments, it is found that the vibration control effect is influenced when the hysteresis item changes. The vibration control effect will be improved when the hysteresis coefficient in the Bouc–Wen model, as the expected objective model of the adaptive reference model, is within a proper numerical range where the control system is stable. Furthermore, when the time delay is considered in the closed-loop control system, the principle of the hysteresis influence is different. The results indicate that the hysteresis property affects not only the control effect but also the stability of the control system for a smart cantilever beam.

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Nonlinearity Effects Reduction of an AFM Piezoelectric Tube Scanner Using MIMO MPC

Cited by 45 publications

References 36 publications

A Survey of Methods Used to Control Piezoelectric Tube Scanners in High‐Speed AFM Imaging

A Survey of Methods Used to Control Piezoelectric Tube Scanners in High‐Speed AFM Imaging

A Novel Application of Minimax LQG Control Technique for High‐speed Spiral Imaging

Influence of Hysteresis on the Vibration Control of a Smart Beam with a Piezoelectric Actuator by the Bouc–Wen Model

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