Dynamical Analysis and Control of a Chaotic Microelectromechanical Resonator Model
The dynamic analysis and control of a nonlinear MEM resonator system are considered. Phase diagram, bifurcation diagram, and the 0-1 test are applied to the analysis of the influence of the parameters on the dynamics of the system, whose parameters are damping coefficient, polarization of the voltag...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2018/4641629 |
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| _version_ | 1832568280305369088 |
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| author | Dailhane G. Bassinello Angelo M. Tusset Rodrigo T. Rocha Jose M. Balthazar |
| author_facet | Dailhane G. Bassinello Angelo M. Tusset Rodrigo T. Rocha Jose M. Balthazar |
| author_sort | Dailhane G. Bassinello |
| collection | DOAJ |
| description | The dynamic analysis and control of a nonlinear MEM resonator system are considered. Phase diagram, bifurcation diagram, and the 0-1 test are applied to the analysis of the influence of the parameters on the dynamics of the system, whose parameters are damping coefficient, polarization of the voltage, and nonlinear stiffness term. The bifurcation diagram is used to demonstrate the existence of the pull-in effect. Numerical results showed that the parameters, which were taken into account, were significant, indicating that the response can be either chaotic or periodic behavior. In order to bring the system from a chaotic state to a periodic orbit, two controls are considered: the time-delayed feedback control and the sliding mode control. |
| format | Article |
| id | doaj-art-370f9512237b4c6f8d31dce59807e481 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-370f9512237b4c6f8d31dce59807e4812025-02-03T00:59:20ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/46416294641629Dynamical Analysis and Control of a Chaotic Microelectromechanical Resonator ModelDailhane G. Bassinello0Angelo M. Tusset1Rodrigo T. Rocha2Jose M. Balthazar3Department of Electrical Engineering, São Paulo State University, 17033-360 Bauru, SP, BrazilFederal University of Technology-Paraná, 84016-210 Ponta Grossa, PR, BrazilFederal University of Technology-Paraná, 84016-210 Ponta Grossa, PR, BrazilDepartment of Electrical Engineering, São Paulo State University, 17033-360 Bauru, SP, BrazilThe dynamic analysis and control of a nonlinear MEM resonator system are considered. Phase diagram, bifurcation diagram, and the 0-1 test are applied to the analysis of the influence of the parameters on the dynamics of the system, whose parameters are damping coefficient, polarization of the voltage, and nonlinear stiffness term. The bifurcation diagram is used to demonstrate the existence of the pull-in effect. Numerical results showed that the parameters, which were taken into account, were significant, indicating that the response can be either chaotic or periodic behavior. In order to bring the system from a chaotic state to a periodic orbit, two controls are considered: the time-delayed feedback control and the sliding mode control.http://dx.doi.org/10.1155/2018/4641629 |
| spellingShingle | Dailhane G. Bassinello Angelo M. Tusset Rodrigo T. Rocha Jose M. Balthazar Dynamical Analysis and Control of a Chaotic Microelectromechanical Resonator Model Shock and Vibration |
| title | Dynamical Analysis and Control of a Chaotic Microelectromechanical Resonator Model |
| title_full | Dynamical Analysis and Control of a Chaotic Microelectromechanical Resonator Model |
| title_fullStr | Dynamical Analysis and Control of a Chaotic Microelectromechanical Resonator Model |
| title_full_unstemmed | Dynamical Analysis and Control of a Chaotic Microelectromechanical Resonator Model |
| title_short | Dynamical Analysis and Control of a Chaotic Microelectromechanical Resonator Model |
| title_sort | dynamical analysis and control of a chaotic microelectromechanical resonator model |
| url | http://dx.doi.org/10.1155/2018/4641629 |
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