A novel cascade control principle for feed drives of machine tools

Sun, Zheng; Pritschow, Günter; Zahn, Peter; Lechler, Armin

doi:10.1016/j.cirp.2018.03.004

Cited by 18 publications

(7 citation statements)

References 12 publications

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“…In addition, the primary loop also comprises the primary controller and the first-order low-pass filter, whose transfer functions are defined by ( 10) and (17). For the purpose of designing CRNs, this first-order low-pass filter is rewritten as (23) where 𝑘 𝑓 = 1 𝑇 𝑓 ⁄ . As described in (10), the primary controller selects the PID controller, where the differential is required to be linearized by the Padé approximation.…”

Section: B Crns Realization Of Cascade Pid Control Strategies For Sec...mentioning

confidence: 99%

“…For a stable second-order time-delay process, this paper uses the controller parameter tuning method proposed by Siddiqui et al [19] to determine the parameters of the cascade PID controller. In the last few years, cascade control structures have been widely applied in mechanical equipment [22], [23], air systems [24], and chemical processes [25]. But the control methods have not been put to use in regulating biochemical systems.…”

Section: Introductionmentioning

confidence: 99%

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Cascade PID Control Systems Based on DNA Strand Displacement With Application in Polarization of Tumor-Associated Macrophages

Xue

Xiao

et al. 2023

IEEE Access

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Disturbances are widespread in biochemical systems. Nowadays, prevalent single-loop control strategies only take external disturbances into account. However, internal perturbations that threaten the stability of biochemical systems are invariably ignored. In this paper, a DNA strand displacement (DSD)based cascade PID control system is designed. In addition to traditionally realizing the tracking of reference input and the attenuation of primary disturbance, the presented control approach also innovatively completes the rejection of secondary disturbance. Specifically, the dynamics of the reference input signal are first governed by a first-order low-pass filter integrated with cascade PID control systems, which efficiently avoids the excessive response of the cascaded primary and secondary controllers to the reference signal. Then, cascade PID controllers and second-order time-delay plants are constructed by utilizing the chemical reaction network (CRN) and the DSD. In terms of secondary perturbation suppression, the obtained control scheme significantly outperforms the single-loop PID control scheme with a smaller overshoot and faster settling time. Finally, the DSD-based cascade PID control method is applied to regulate gene expressions of interferon regulatory factor 4 (IRF4) and interferon regulatory factor 5 (IRF5) that affect the polarization of tumorassociated macrophages (TAMs). Compared with the single-loop PID control strategy, the control strategy exhibits a better inhibitory effect on IRF5 gene overexpression (internal disturbance) and TAMs endogenous gene expression (external disturbance).INDEX TERMS Cascade PID control systems, chemical reaction networks, DNA strand displacement, secondary disturbance, regulation of tumor-associated macrophage polarization

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Section: B Crns Realization Of Cascade Pid Control Strategies For Sec...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Cascade PID Control Systems Based on DNA Strand Displacement With Application in Polarization of Tumor-Associated Macrophages

Xue

Xiao

et al. 2023

IEEE Access

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“…DEIS originates from the insufficient servo bandwidth, which causes the tracking error in the motion axis. 24 Studies have shown that servo-tracking errors are dependent on the bandwidth of both position and external load disturbance transfer functions. 25 Chiew 26 designed a PID controller and a sliding mode controller to compensate for varying cutting force during the milling process.…”

Section: Dynamic Motion Error Of the Rotary Axismentioning

confidence: 99%

Identification method for the dynamic motion error of the rotary axis based on circular and elliptical test piece cutting

Zhang

Xiang

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The rotary axis is crucial for the machining accuracy of five-axis machines, and its motion accuracy is significantly influenced by the dynamic motion error. A test of circular and elliptical test piece cutting is proposed to identify and analyze the dynamic motion error of the rotary axis. The influence of the feed rate on the dynamic motion accuracy is explained. The dynamic motion error can be divided into two types, depending on its source and manifestation: dynamic error inside the servo loop (DEIS) and dynamic error outside the servo loop (DEOS). At different feed rates, elliptical test piece cutting and kinetics analyses are conducted to identify the DEIS, and circular test piece cutting together with double ball bar (DBB) tests are conducted to identify the DEOS. On-machine inspection and the coordinate measuring machine (CMM) calibration are performed. By combining the DBB test and kinetics analysis results, the DEIS and DEOS are identified and analyzed. The experimental verification shows that the DEIS and DEOS change according to the feed rate and can be determined from the machining error of the test piece. Consequently, the proposed method offers an effective reference for improving the motion accuracy of the rotary axis.

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“…Therefore, DT are essential to address the unsatisfactory behavior of industrial systems due to poor tuning of controllers. For example, the calibration of cascade control systems is a cumbersome task for nonlinear systems, specifically before hard nonlinearities [28]. In the last two decades, nature-inspired metaheuristic algorithms were designed and implemented to tackle complex optimization problems and to provide a set of quasi-optimal solutions [29].…”

Section: Introductionmentioning

confidence: 99%

Digital twin-based Optimization on the basis of Grey Wolf Method. A Case Study on Motion Control Systems

Haber

Strzelczak

Miljković

et al. 2020

2020 IEEE Conference on Industrial Cyberphysical Systems (ICPS)

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Nowadays, digital twins are fostering the development of plug, simulate and optimize behavior in industrial cyber-physical systems. This paper presents a digital twin-based optimization of a motion system on the basis of a grey wolf optimization (GWO) method. The digital twin of the whole ultraprecision motion system with friction and backlash including a P-PI cascade controller is used as a basement to minimize the maximum position error. The simulation study and the real-time experiments in trajectory control are performed to compare the performance of the proposed GWO algorithm and the industrial method called Fine tune (FT) method. The simulation study shows that the digital twin -based optimization using GWO outperformed FT method with improvement of 66.4% in the reduction of the maximum position error. The real-time experimental results obtained show also the advantage of GWO method with 18% of improvement in the maximum peak error and 16% in accuracy.

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A novel cascade control principle for feed drives of machine tools

Cited by 18 publications

References 12 publications

Cascade PID Control Systems Based on DNA Strand Displacement With Application in Polarization of Tumor-Associated Macrophages

Cascade PID Control Systems Based on DNA Strand Displacement With Application in Polarization of Tumor-Associated Macrophages

Identification method for the dynamic motion error of the rotary axis based on circular and elliptical test piece cutting

Digital twin-based Optimization on the basis of Grey Wolf Method. A Case Study on Motion Control Systems

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