A Novel Filtering Method Based on a Nonlinear Tracking Differentiator for the Speed Measurement of Direct-drive Permanent Magnet Traction Machines

Wang, Gaolin; Wang, Bowen; Zhao, Nannan; Xü, Dianguo

doi:10.6113/jpe.2017.17.2.358

Cited by 4 publications

(3 citation statements)

References 14 publications

(13 reference statements)

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“…( 18), T d is got by Eq. (11). Moreover, k = 2, 4, 6.667, respectively corresponds to the coefficient of two-point differentiator filters, three-point differentiator filters, and four-point differentiator filters.…”

Section: The Experiments and Results Analysismentioning

confidence: 99%

“…(9) φ ω∆t ðÞ ¼ arctg ctg ω∆t ðÞ =2 ½ ¼ þ π=2, we can get the algorithm bandwidth in the sense of phase-frequency characteristics in Eq. (11). Note that the ideal solution of φ ω∆t ðÞ ¼ arctg ctg ω∆t ðÞ =2 ½ ¼ þ π=2 is 0 and Eq.…”

Section: The Design Of Discrete Differentiatormentioning

confidence: 99%

“…Literature [9] realized a dither-free sliding mode differentiator, which constructed discrete differential based on backward Euler, but the algorithm parameter adjustment is more complicated. Tracking differentiator (TD) can quickly track the input signal [3], but its more parameters increase the difficulty of application in practice [10,11]. The structure of fractional differential is generally more complicated.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Research and Application of PID Controller with Feedforward Filtering Function

Wang¹,

Shen²

2022

Intelligent Electronics and Circuits - Terahertz, ITS, and Beyond

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Most of the existing differential methods focus on the differential effect and do not make full use of the differential link’s filtering effect of reducing order and smoothing. In Proportion Integral Differential (PID) control, the introduction of differential can improve the dynamic performance of the system. However, the actual differential (containing differential gain) will be subject to the impact of high-frequency noises. Therefore, this paper proposes a differential with filtering function, which has weak effect on noise amplification, and strong effect on reducing order and smoothing. Firstly, a discrete differentiator was constructed based on the Newton interpolation, and the concept of “algorithm bandwidth” was defined to ensure the differential effect. Then, the proposed algorithm was used to design a new PID controller with feedforward filtering function. In the experiments, the proposed PID controller is applied to a high-performance hot water supply system. The result shows that the system obtains better control quality. It verifies that the proposed PID controller has a feedforward filtering function and can effectively remove high-frequency noise.

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Section: The Experiments and Results Analysismentioning

confidence: 99%

Section: The Design Of Discrete Differentiatormentioning

confidence: 99%