Frequency analysis of a discrete-time fast nonlinear tracking differentiator algorithm based on isochronic region method
In fault detection, feedback control, and other fields, real-time differential estimation of a given signal in a complex noise environment is an important but challenging task. In this paper, a discrete-time fast nonlinear tracking differentiator (FNTD) based on hyperbolic tangent functions was prop...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-09-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024238 |
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| _version_ | 1832590848801374208 |
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| author | Zhizhou Zhang Yueliang Pan Weilong Zhao Jinchu Zhang Zheng Zi Yuan Xie Hehong Zhang |
| author_facet | Zhizhou Zhang Yueliang Pan Weilong Zhao Jinchu Zhang Zheng Zi Yuan Xie Hehong Zhang |
| author_sort | Zhizhou Zhang |
| collection | DOAJ |
| description | In fault detection, feedback control, and other fields, real-time differential estimation of a given signal in a complex noise environment is an important but challenging task. In this paper, a discrete-time fast nonlinear tracking differentiator (FNTD) based on hyperbolic tangent functions was proposed. To start, the differential signal acquisition problem was equated to the time-optimal control (TOC) law for constructing a double-integral system using a state feedback approach. Next, the FNTD algorithm based on the hyperbolic tangent function was presented by utilizing the isochronic region (IR) method in the discrete time domain. Then, the frequency-domain characteristics of the FNTD were analyzed and the rule for tuning the parameters was provided by the frequency scan test method. Finally, the simulation results demonstrated that the proposed FNTD had fast and accurate tracking performance, as well as excellent filtering and differential extraction capability compared with other differentiators. |
| format | Article |
| id | doaj-art-db68ffb276c64b159b18b1386a5ce778 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-db68ffb276c64b159b18b1386a5ce7782025-01-23T07:52:41ZengAIMS PressElectronic Research Archive2688-15942024-09-013295157517510.3934/era.2024238Frequency analysis of a discrete-time fast nonlinear tracking differentiator algorithm based on isochronic region methodZhizhou Zhang0Yueliang Pan1Weilong Zhao2Jinchu Zhang3Zheng Zi4Yuan Xie5Hehong Zhang6School of Aeronautics and Astronautics, Sun Yat-sen University, Shenzhen 518107, ChinaSchool of Aeronautics and Astronautics, Sun Yat-sen University, Shenzhen 518107, ChinaSchool of Aeronautics and Astronautics, Sun Yat-sen University, Shenzhen 518107, ChinaSchool of Aeronautics and Astronautics, Sun Yat-sen University, Shenzhen 518107, ChinaSchool of Aeronautics and Astronautics, Sun Yat-sen University, Shenzhen 518107, ChinaSchool of Aeronautics and Astronautics, Sun Yat-sen University, Shenzhen 518107, ChinaCollege of Computer and Data Science, Fuzhou University, Fuzhou 350108, ChinaIn fault detection, feedback control, and other fields, real-time differential estimation of a given signal in a complex noise environment is an important but challenging task. In this paper, a discrete-time fast nonlinear tracking differentiator (FNTD) based on hyperbolic tangent functions was proposed. To start, the differential signal acquisition problem was equated to the time-optimal control (TOC) law for constructing a double-integral system using a state feedback approach. Next, the FNTD algorithm based on the hyperbolic tangent function was presented by utilizing the isochronic region (IR) method in the discrete time domain. Then, the frequency-domain characteristics of the FNTD were analyzed and the rule for tuning the parameters was provided by the frequency scan test method. Finally, the simulation results demonstrated that the proposed FNTD had fast and accurate tracking performance, as well as excellent filtering and differential extraction capability compared with other differentiators.https://www.aimspress.com/article/doi/10.3934/era.2024238fast nonlinear tracking differentiator (fntd)isochronic region (ir) methodcontrol synthesis function (csf)frequency-domain characteristicsfrequency scan test |
| spellingShingle | Zhizhou Zhang Yueliang Pan Weilong Zhao Jinchu Zhang Zheng Zi Yuan Xie Hehong Zhang Frequency analysis of a discrete-time fast nonlinear tracking differentiator algorithm based on isochronic region method Electronic Research Archive fast nonlinear tracking differentiator (fntd) isochronic region (ir) method control synthesis function (csf) frequency-domain characteristics frequency scan test |
| title | Frequency analysis of a discrete-time fast nonlinear tracking differentiator algorithm based on isochronic region method |
| title_full | Frequency analysis of a discrete-time fast nonlinear tracking differentiator algorithm based on isochronic region method |
| title_fullStr | Frequency analysis of a discrete-time fast nonlinear tracking differentiator algorithm based on isochronic region method |
| title_full_unstemmed | Frequency analysis of a discrete-time fast nonlinear tracking differentiator algorithm based on isochronic region method |
| title_short | Frequency analysis of a discrete-time fast nonlinear tracking differentiator algorithm based on isochronic region method |
| title_sort | frequency analysis of a discrete time fast nonlinear tracking differentiator algorithm based on isochronic region method |
| topic | fast nonlinear tracking differentiator (fntd) isochronic region (ir) method control synthesis function (csf) frequency-domain characteristics frequency scan test |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024238 |
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