Response Analysis and Controlling the Nonlinear Vibration of Van Der-Pol Duffing Oscillator Connected to the NIPPF Controller
In this paper, we introduced response analysis and controlling the nonlinear vibration of van der pol duffing oscillator subject to parametric and external excitations by connecting the nonlinear integral positive position feedback (NIPPF). The controller combines the characteristics of the positive...
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| Format: | Article |
| Language: | English |
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IEEE
2021-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9458283/ |
| _version_ | 1818743841708048384 |
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| author | Khadijah M. Abualnaja Y. A. Amer A. T. El-Sayed E. El Emam Ahmed Y. S. Hamed |
| author_facet | Khadijah M. Abualnaja Y. A. Amer A. T. El-Sayed E. El Emam Ahmed Y. S. Hamed |
| author_sort | Khadijah M. Abualnaja |
| collection | DOAJ |
| description | In this paper, we introduced response analysis and controlling the nonlinear vibration of van der pol duffing oscillator subject to parametric and external excitations by connecting the nonlinear integral positive position feedback (NIPPF). The controller combines the characteristics of the positive position feedback controller (PPF) and integral resonant control (IRC) and these controllers are viewed in a blocked scheme for the closed-loop system (system under control). The analytical solution and all resonance cases are obtained by applying the multiple time scales perturbation method (MSPM). The stability analysis is studied using the frequency response equations at the supposed worst resonance case. For numerical simulation, the system is examined before and after connecting the NIPPF controller using Matlab software program (package ode45). The influences of different parameters are examined numerically for the vibrating system and controller. The approximate analysis is confirmed with numerical simulation outcomes. Finally, making a comparison with previously related published work. |
| first_indexed | 2024-12-18T02:34:49Z |
| format | Article |
| id | doaj.art-f0560dab3c5941019e02e2de0241a6f7 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-18T02:34:49Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-f0560dab3c5941019e02e2de0241a6f72022-12-21T21:23:49ZengIEEEIEEE Access2169-35362021-01-019918369184910.1109/ACCESS.2021.30899789458283Response Analysis and Controlling the Nonlinear Vibration of Van Der-Pol Duffing Oscillator Connected to the NIPPF ControllerKhadijah M. Abualnaja0Y. A. Amer1https://orcid.org/0000-0002-5181-2207A. T. El-Sayed2https://orcid.org/0000-0003-3280-7549E. El Emam Ahmed3Y. S. Hamed4https://orcid.org/0000-0002-0365-0282Department of Mathematics and Statistics, College of Science, Taif University, Taif, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Zagazig University, Zagazig, EgyptDepartment of Basic Sciences, Modern Academy for Engineering and Technology, Cairo, EgyptDepartment of Basic Sciences, Higher Technological Institute, 10th of Ramadan City, EgyptDepartment of Mathematics and Statistics, College of Science, Taif University, Taif, Saudi ArabiaIn this paper, we introduced response analysis and controlling the nonlinear vibration of van der pol duffing oscillator subject to parametric and external excitations by connecting the nonlinear integral positive position feedback (NIPPF). The controller combines the characteristics of the positive position feedback controller (PPF) and integral resonant control (IRC) and these controllers are viewed in a blocked scheme for the closed-loop system (system under control). The analytical solution and all resonance cases are obtained by applying the multiple time scales perturbation method (MSPM). The stability analysis is studied using the frequency response equations at the supposed worst resonance case. For numerical simulation, the system is examined before and after connecting the NIPPF controller using Matlab software program (package ode45). The influences of different parameters are examined numerically for the vibrating system and controller. The approximate analysis is confirmed with numerical simulation outcomes. Finally, making a comparison with previously related published work.https://ieeexplore.ieee.org/document/9458283/Stabilityvibrationresonancemultiple time scale methodfrequency responsenonlinear integral positive position feedback control |
| spellingShingle | Khadijah M. Abualnaja Y. A. Amer A. T. El-Sayed E. El Emam Ahmed Y. S. Hamed Response Analysis and Controlling the Nonlinear Vibration of Van Der-Pol Duffing Oscillator Connected to the NIPPF Controller IEEE Access Stability vibration resonance multiple time scale method frequency response nonlinear integral positive position feedback control |
| title | Response Analysis and Controlling the Nonlinear Vibration of Van Der-Pol Duffing Oscillator Connected to the NIPPF Controller |
| title_full | Response Analysis and Controlling the Nonlinear Vibration of Van Der-Pol Duffing Oscillator Connected to the NIPPF Controller |
| title_fullStr | Response Analysis and Controlling the Nonlinear Vibration of Van Der-Pol Duffing Oscillator Connected to the NIPPF Controller |
| title_full_unstemmed | Response Analysis and Controlling the Nonlinear Vibration of Van Der-Pol Duffing Oscillator Connected to the NIPPF Controller |
| title_short | Response Analysis and Controlling the Nonlinear Vibration of Van Der-Pol Duffing Oscillator Connected to the NIPPF Controller |
| title_sort | response analysis and controlling the nonlinear vibration of van der pol duffing oscillator connected to the nippf controller |
| topic | Stability vibration resonance multiple time scale method frequency response nonlinear integral positive position feedback control |
| url | https://ieeexplore.ieee.org/document/9458283/ |
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