Cascaded proportional–integral–derivative controller parameters tuning for contour following improvement

Wu, Jianhua; Hu, Junfeng; Xiong, Zhenhua; Ding, Han

doi:10.1177/0959651816657454

Cited by 7 publications

(3 citation statements)

References 43 publications

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“…When looking at the literature, it can be seen in many different studies related to PID controllers and their design. 6–11 Control of time delay integrating processes is an important issue, and in the literature, different approaches were suggested by researchers for both set point tracking and disturbance rejection of those systems. Visioli 12 provided tuning rules for PID controllers to control integrating and unstable processes.…”

Section: Introductionmentioning

confidence: 99%

Optimal integral–proportional derivative controller design for input load disturbance rejection of time delay integrating processes

Peker

Kaya

2022

Proceedings of the Institution of Mechanical Engineers, Part I:

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One of the commonly encountered type of processes in industry is integrating systems. For this type of processes, tuning formulas to calculate optimally integral–proportional derivative controller parameters to reject input load disturbance, which is an important problem in process control, are presented here. Simple tuning formulas are provided to set the integral–proportional derivative controller parameters for rejection of input load disturbance of integrating plus first order plus dead time and double integrating plus first order plus dead time processes. Time-weighted integral performance indices are exploited to derive optimal formulas for input load disturbance rejection. Achieved formulas for integral–proportional derivative tuning contain only process transfer function parameters. To show benefits and usefulness of the suggested design approach, simulation examples are imparted. Furthermore, comparisons to some available design approaches are given to reveal the superior performance of the suggested design method. In addition, proposed design method is experimentally validated by controlling a cart position.

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Section: Introductionmentioning

confidence: 99%

Optimal integral–proportional derivative controller design for input load disturbance rejection of time delay integrating processes

Peker

Kaya

2022

Proceedings of the Institution of Mechanical Engineers, Part I:

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“…In general, the above methods increase the processing accuracy at the cost of efficiency and increase a large amount of computational burden. From the perspective of system parameter correction, Wu [17] sequentially tuned the control parameters in the position loop, speed loop, and current loop to minimize the mismatch of the dynamic characteristics of each axis, so as to obtain the improvement of the contour accuracy. But this method required a large number of experiments, the difficulty would increase as the number of motion axis increased.…”

Section: Introductionmentioning

confidence: 99%

Prediction and compensation strategy of contour error in multi-axis motion system

Jiang

Lin

et al. 2021

Int J Adv Manuf Technol

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The contour error of the machined parts is an important index to evaluate the accuracy of CNC machining. Considering multi-axis servo control system, a predictive compensation strategy for contour error is presented in this paper. First, the offline identification method is adopted to establish the transfer function of each motion system. In this case, the relationship between the interpolation command and the feedback position of the grating is determined for the selected machine tool. Thus, before machining, the trajectory information of each motion axis can be predicted according to the interpolation instruction and the transfer relationship. It can be converted into the contour trajectory of the part through kinematic analysis, so as to predict the contour error. Finally, the predicted contour error is compensated into the command trajectory to ensure the contour accuracy of the part to be machined. Compared to existing methods, our method can effectively reduce the trial-produced cycle of parts and avoid unnecessary waste of processing materials. Moreover, without increasing the complexity of the control system and greatly reducing the machining efficiency, the dynamic error caused by the dynamic characteristics of the shaft is reduced. Taking the starfish pattern and the contour line of the impeller as the milling processing experiment case, the contour error after compensation is greatly reduced compared with the contour error processed by the original command. Therefore, the predictive compensation method proposed in this paper can significantly improve the machining accuracy. In addition, it also has application value for trial production of complex curved parts.

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“…The purpose of this article is to obtain perfectly matched closed-loop dynamics by utilizing the IP controller, 19 which is a slight modification of the traditional cascaded P-PI controller. Although there are various tuning methods for the P-PI controller, only a few papers have studied the IP controller parameters tuning.…”

Section: Introductionmentioning

confidence: 99%

Perfectly matched closed-loop dynamics based on IP controller for bi-axial contour following

Xiong

Ding

2017

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article aims to achieve high contour following performance for bi-axial systems. First, the effects of closed-loop dynamics on the contour following performance are analyzed and it is determined that perfectly matched closed-loop dynamics is preferable. Next, the Integral-Proportional (IP) controller is utilized to control each axis and the parameters tuning method is proposed to achieve perfect matching. The tuning method contains two main parts. One primary part is to establish the relations between the two controller parameters by setting both axes to have the same closed-loop transfer functions. The other primary part is to determine the individual IP controller parameters loop by loop according to the bandwidth index. The design process is correspondingly implemented in two steps. First, the smaller bandwidth axis controller parameters are tuned, and then the other axis is tuned according to the above relations. In applications, feedforward controllers are usually added to enhance the motion performance, whose parameters depend on the individual closed-loop dynamics and can be directly determined. The novelty of this article is that no coupling mechanism is required to perfectly match the closed-loop dynamics and the contour following performance is improved via individual controller design alone. Both the controller and the tuning method are simple and easy to implement, which are of interest to control engineers. Experiments are carried out on an X-Y motion stage, which is commanded to follow diamond and circle contours. Results show that the proposed method can match closed-loop dynamics perfectly and significantly improve the contour following performance.

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Cascaded proportional–integral–derivative controller parameters tuning for contour following improvement

Cited by 7 publications

References 43 publications

Optimal integral–proportional derivative controller design for input load disturbance rejection of time delay integrating processes

Optimal integral–proportional derivative controller design for input load disturbance rejection of time delay integrating processes

Prediction and compensation strategy of contour error in multi-axis motion system

Perfectly matched closed-loop dynamics based on IP controller for bi-axial contour following

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