Accurate three-dimensional contouring error estimation and compensation scheme with zero-phase filter

Hu, Chuxiong; Wang, Ze; Zhu, Yu; Zhang, Ming

doi:10.1016/j.ijmachtools.2018.01.001

Cited by 39 publications

(20 citation statements)

References 33 publications

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“…Combining the above analysis, and by performing the Laplace transform on equation (20), by calculating the input impulse response and ignoring the influence of the initial condition, the steady-state tracking of the system is performed when the control law is the power approaching law. The error bound can be expressed as (where l is a constant)…”

Section: Smc Design Based On Steady-state Error Boundarymentioning

confidence: 99%

“…Its motion trajectory is a super-spiral curve and can reach convergence within a certain time. [16][17][18][19][20] Super-twisting can not only maintain the fastness and robustness of first-order sliding mode control but also effectively reduce the chattering generated by the sliding mode observer in vector control and enhance the stability of the system. However, in actual engineering, system boundary conditions are often fluctuated by external interference.…”

Section: Adaptive Super-twisting Space Decoupling Algorithmmentioning

confidence: 99%

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Spatial decoupling control strategy of three-axis linear motor based on sliding mode controller

Leiyong

et al. 2019

Advances in Mechanical Engineering

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In this article, the three-axis motion platform built by linear motor is taken as the research object, and a new control scheme is designed to solve the problems of low operation accuracy and response speed when the three-axis motion system completes the spatial contour tracking task. This article establishes the spatial contour error model and effectively reduces the spatial contour error by designing an adaptive super-twisting decoupling sliding mode controller. At the same time, based on the finite-time reachability theory and adaptive control theory, the control strategy adopted in this article can improve the response speed of the system. And, the parameters of the controller can be adjusted adaptively according to the disturbance, thus enhancing the robustness of the system. The effectiveness of the control strategy is verified by simulation and experiment.

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Section: Smc Design Based On Steady-state Error Boundarymentioning

confidence: 99%

Section: Adaptive Super-twisting Space Decoupling Algorithmmentioning

confidence: 99%

Spatial decoupling control strategy of three-axis linear motor based on sliding mode controller

Leiyong

et al. 2019

Advances in Mechanical Engineering

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“…16 Zhao et al 17 defined the estimated contour as a circle determined by three interpolation dots closest to the actual position, so the estimated contour error is the shortest distance between the actual position and the circle. In the approaches proposed in Zhu et al, 18 Hu et al, 19 Wang et al, 20 Zhao et al, 21 and Shi and Lou, 22 real-time contour error estimation based on Taylor expansion approximation employed a point-to-curve distance function to calculate directly. However, due to the characteristics of Taylor expansion approximation, these methods can achieve good results only when the actual point and the desired point are close enough.…”

Section: Introductionmentioning

confidence: 99%

Cross-coupled control based on real-time Double Circle contour error estimation for biaxial motion system

Wang

2021

Measurement and Control

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In contour machining, contour error is a major factor affecting machining quality. In order to improve the performance of contour following, many control techniques based on real-time contour error estimation have been developed. In this paper, a Double Circle contour error estimation method is proposed. First, based on the kinematic information of the reference point on the command trajectory, five interpolation points closest to the actual point are obtained. Then the approximate contour error is obtained by employing the Double Circle approximation method. Compared with the common contour error approximation methods, the proposed method can achieve high precision approximation. In addition, according to the proposed contour error approximation method, the cross-coupled control strategy is improved. Experiments prove the effectiveness of the proposed estimation method and control strategy.

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“…To date, in the modern machining process, contour control precision for the positioning stage of multi-axis LMs has increased tremendously. Contour error is defined as the nearest distance between the actual position of the motion stage and the demanded position of the designed contour [13]. Conventionally, contour tracking performance was improved by only reducing tracking error in each axis individually.…”

Section: Introductionmentioning

confidence: 99%

Contour Tracking Control of a Linear Motors-Driven X-Y-Y Stage Using Auto-Tuning Cross-Coupled 2DOF PID Control Approach

et al. 2020

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Linear motors (LMs) are widely used in numerous industry automation where precise and fast motions are required to convert electric energy into linear actuation without the need of any switching mechanism. This study aims to develop a control strategy of auto-tuning cross-coupled two-degree-of-freedom proportional-integral-derivative (ACC2PID) to achieve extremely high-precision contour control of a LMs-driven X-Y-Y stage. Three 2PID controllers are developed to control the mover positions in individual axes while two compensators are designed to eliminate the contour errors in biaxial motions. Furthermore, an improved artificial bee colony algorithm is employed as a powerful optimization technique so that all the control parameters can be concurrently evaluated and optimized online while ensuring the non-fragility of the proposed controller. In this way, the tracking error in each axis and contour errors of the biaxial motions can be concurrently minimized, and further, satisfactory positioning accuracy and synchronization performance can be achieved. Finally, the experimental comparison results confirm the validity of the proposed ACC2PID control system regarding the multi-axis contour tracking control of the highly uncertain and nonlinear LMs-driven X-Y-Y stage.

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Accurate three-dimensional contouring error estimation and compensation scheme with zero-phase filter

Cited by 39 publications

References 33 publications

Spatial decoupling control strategy of three-axis linear motor based on sliding mode controller

Spatial decoupling control strategy of three-axis linear motor based on sliding mode controller

Cross-coupled control based on real-time Double Circle contour error estimation for biaxial motion system

Contour Tracking Control of a Linear Motors-Driven X-Y-Y Stage Using Auto-Tuning Cross-Coupled 2DOF PID Control Approach

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