On an Optimal Control Applied in MEMS Oscillator with Chaotic Behavior including Fractional Order
The dynamical analysis and control of a nonlinear MEMS resonator system is considered. Phase diagram, power spectral density (FFT), bifurcation diagram, and the 0-1 test were applied to analyze the influence of the nonlinear stiffness term related to the dynamics of the system. In addition, the dyna...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/5817597 |
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| _version_ | 1832559090303238144 |
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| author | Angelo Marcelo Tusset Frederic Conrad Janzen Rodrigo Tumolin Rocha Jose Manoel Balthazar |
| author_facet | Angelo Marcelo Tusset Frederic Conrad Janzen Rodrigo Tumolin Rocha Jose Manoel Balthazar |
| author_sort | Angelo Marcelo Tusset |
| collection | DOAJ |
| description | The dynamical analysis and control of a nonlinear MEMS resonator system is considered. Phase diagram, power spectral density (FFT), bifurcation diagram, and the 0-1 test were applied to analyze the influence of the nonlinear stiffness term related to the dynamics of the system. In addition, the dynamical behavior of the system is considered in fractional order. Numerical results showed that the nonlinear stiffness parameter and the order of the fractional order were significant, indicating that the response can be either a chaotic or periodic behavior. In order to bring the system from a chaotic state to a periodic orbit, the optimal linear feedback control (OLFC) is considered. The robustness of the proposed control is tested by a sensitivity analysis to parametric uncertainties. |
| format | Article |
| id | doaj-art-9e430bf5b90b43d7b50da9f19870f4f2 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-9e430bf5b90b43d7b50da9f19870f4f22025-02-03T01:30:54ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/58175975817597On an Optimal Control Applied in MEMS Oscillator with Chaotic Behavior including Fractional OrderAngelo Marcelo Tusset0Frederic Conrad Janzen1Rodrigo Tumolin Rocha2Jose Manoel Balthazar3Department of Mathematics, Federal Technological University of Paraná (UTFPR), 84016-210 Ponta Grossa, PR, BrazilDepartment of Mathematics, Federal Technological University of Paraná (UTFPR), 84016-210 Ponta Grossa, PR, BrazilDepartment of Mathematics, Federal Technological University of Paraná (UTFPR), 84016-210 Ponta Grossa, PR, BrazilDepartment of Mathematics, Federal Technological University of Paraná (UTFPR), 84016-210 Ponta Grossa, PR, BrazilThe dynamical analysis and control of a nonlinear MEMS resonator system is considered. Phase diagram, power spectral density (FFT), bifurcation diagram, and the 0-1 test were applied to analyze the influence of the nonlinear stiffness term related to the dynamics of the system. In addition, the dynamical behavior of the system is considered in fractional order. Numerical results showed that the nonlinear stiffness parameter and the order of the fractional order were significant, indicating that the response can be either a chaotic or periodic behavior. In order to bring the system from a chaotic state to a periodic orbit, the optimal linear feedback control (OLFC) is considered. The robustness of the proposed control is tested by a sensitivity analysis to parametric uncertainties.http://dx.doi.org/10.1155/2018/5817597 |
| spellingShingle | Angelo Marcelo Tusset Frederic Conrad Janzen Rodrigo Tumolin Rocha Jose Manoel Balthazar On an Optimal Control Applied in MEMS Oscillator with Chaotic Behavior including Fractional Order Complexity |
| title | On an Optimal Control Applied in MEMS Oscillator with Chaotic Behavior including Fractional Order |
| title_full | On an Optimal Control Applied in MEMS Oscillator with Chaotic Behavior including Fractional Order |
| title_fullStr | On an Optimal Control Applied in MEMS Oscillator with Chaotic Behavior including Fractional Order |
| title_full_unstemmed | On an Optimal Control Applied in MEMS Oscillator with Chaotic Behavior including Fractional Order |
| title_short | On an Optimal Control Applied in MEMS Oscillator with Chaotic Behavior including Fractional Order |
| title_sort | on an optimal control applied in mems oscillator with chaotic behavior including fractional order |
| url | http://dx.doi.org/10.1155/2018/5817597 |
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