Accounting for hysteresis in repetitive control design: Nanopositioning example

Shan, Yingfeng; Leang, Kam K.

doi:10.1016/j.automatica.2012.05.055

Cited by 94 publications

(43 citation statements)

References 14 publications

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“…In multi-axis PMC system like 3D printer, micro-assembling, nano-lithography and so on, contour tracking is one of the crucial control problems. Many control strategies have been developed to improve the tracking performance of each individual axis motion, such as proportional integral derivative (PID) controller [1], robust control [2], sliding-mode control [3], iterative control [4], repetitive control [5,6], polynomial-based pole placement control [7] and so on. For decoupled multi-input multi-output (MIMO) control systems, a traditional control regards MIMO system as many single-input singleoutput (SISO) systems designed each axis separately regardless of other axes.…”

Section: Introductionmentioning

confidence: 99%

A Position Domain Cross-Coupled Iteration Learning Control for Contour Tracking in Multi-axis Precision Motion Control Systems

Ling

Feng

Xiao

2015

Intelligent Robotics and Applications

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Abstract.A novel cross-coupled iteration learning controller in position domain is presented to improve contour tracking performance for multi-axis micro systems executing repetitive tasks. The position domain iteration learning control (PDILC) is combined with position domain cross-coupled control (PDCCC) to develop a position domain cross-coupled iteration learning control (PDCCILC). The stability and performance analysis are given based on lifted system representation in time domain. To illustrate effectiveness and good tracking performance of the proposed control method, simulation studies are conducted based on an identified model of a three dimensional micro-motion stage.

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Section: Introductionmentioning

confidence: 99%

A Position Domain Cross-Coupled Iteration Learning Control for Contour Tracking in Multi-axis Precision Motion Control Systems

Ling

Feng

Xiao

2015

Intelligent Robotics and Applications

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“…Particularly, lightly damped vibration modes and the hysteresis effect can degrade performance and make it difficult to obtain a stable RC system [29]. A modified integral control law [15] is designed and used to minimize the effect of vibration modes.…”

Section: Outlinementioning

confidence: 99%

Low-order continuous-time robust repetitive control: Application in nanopositioning

2015

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A low-order repetitive control (RC) design in continuous-time for nanopositioning applications is presented. It focuses on achieving high performance and sufficient robustness to uncertainties. The design is mainly applicable to analog implementation, but due to the exceptionally low order, it also results in a fast and efficient digital implementation. Experimental results for an analog implementation using a bucket brigade device (BBD), as well as a digital implementation, is presented. RC can provide fast and accurate tracking of periodic reference signals, which is useful in many scanning probe microscopy and nanofabrication applications.

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“…[17][18][ [19], and because of it, only a short introduction in this model is presented below. A discrete form of this model is presented in equation (1). The GPI model Ypγ consists of a number of N play operators Gr (2) multiplied by density function p(r) described by equation (3).…”

Section: Generalized Prandtl-ishlinski Hysteresis Modelmentioning

confidence: 99%

“…in micro-and nano-positioning stages [1,2], vibration control [3], fluid power pilot valves [4][5][6], energy harvesting [7,8], and other areas in which conventional solutions cannot fulfil the increasing requirements with regard to fast response, high precision, high speed positioning and low energy costs. Piezoelectric actuators use inversed piezoelectric effect which converses applied electrical field to the surface of the material into deformation of the material.…”

Section: Introductionmentioning

confidence: 99%

Open loop control of piezoelectric tube transducer

Stefański

Minorowicz

2018

Archives of Mechanical Technology and Materials

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A B S T R A C TThis paper is focused on the open loop control of a piezoelectric tube actuator, hindered by a strong hysteresis. The actuator was distinguished with 22 % hysteresis, which hinders the positioning of piezoelectric actuator. One of the possible ways to solve this problem is application of an accurate analytical inversed model of the hysteresis in the control loop. In this paper generalized Prandtl-Ishlinskii model was used for both modeling and open loop control of the piezoelectric actuator. Achieved modeling error does not exceed max. 2.34 % of the whole range of tube deflection. Finally, the inverse hysteresis model was applied to the control line of the tube. For the same input signal (damped sine 0.2 Hz) as for the model estimation the positioning error was max. 4.6 % of the tube deflection. Additionally, for a verification reason three different complex harmonic functions were applied. For the verification functions, still a good positioning was obtained with positioning error of max. 4.56 %, 6.75 % and 5.6% of the tube deflection.

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Accounting for hysteresis in repetitive control design: Nanopositioning example

Cited by 94 publications

References 14 publications

A Position Domain Cross-Coupled Iteration Learning Control for Contour Tracking in Multi-axis Precision Motion Control Systems

A Position Domain Cross-Coupled Iteration Learning Control for Contour Tracking in Multi-axis Precision Motion Control Systems

Low-order continuous-time robust repetitive control: Application in nanopositioning

Open loop control of piezoelectric tube transducer

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