Nonlinear State Estimation and Control for Chaos Suppression in MEMS Resonator
During the last decade the chaotic behavior in MEMS resonators have been reported in a number of works. Here, the chaotic behavior of a micro-mechanical resonator is suppressed. The aim is to control the system forcing it to an orbit of the analytical solution obtained by the multiple scales method....
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-130782 |
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| _version_ | 1850237892483350528 |
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| author | Angelo Marcelo Tusset Átila Madureira Bueno Claudinor Bitencourt Nascimento Mauricio dos Santos Kaster José Manoel Balthazar |
| author_facet | Angelo Marcelo Tusset Átila Madureira Bueno Claudinor Bitencourt Nascimento Mauricio dos Santos Kaster José Manoel Balthazar |
| author_sort | Angelo Marcelo Tusset |
| collection | DOAJ |
| description | During the last decade the chaotic behavior in MEMS resonators have been reported in a number of works. Here, the chaotic behavior of a micro-mechanical resonator is suppressed. The aim is to control the system forcing it to an orbit of the analytical solution obtained by the multiple scales method. The State Dependent Riccati Equation (SDRE) and the Optimal Linear Feedback Control (OLFC) strategies are used for controlling the trajectory of the system. Additionally, the SDRE technique is used in the state estimator design. The state estimation and the control techniques proved to be effective in controlling the trajectory of the system. Additionally, the robustness of the control strategies are tested considering parametric errors and measurement noise in the control loop. |
| format | Article |
| id | doaj-art-1ddc8941cf95462a9dcf60057fbcc01a |
| institution | OA Journals |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-1ddc8941cf95462a9dcf60057fbcc01a2025-08-20T02:01:39ZengWileyShock and Vibration1070-96221875-92032013-01-0120474976110.3233/SAV-130782Nonlinear State Estimation and Control for Chaos Suppression in MEMS ResonatorAngelo Marcelo Tusset0Átila Madureira Bueno1Claudinor Bitencourt Nascimento2Mauricio dos Santos Kaster3José Manoel Balthazar4Departamento de Engenharia Eletrônica, Universidade Tecnológica Federal do Paraná, Ponta Grossa, Paraná, BrazilDepartamento de Engenharia Eletrônica, Universidade Tecnológica Federal do Paraná, Ponta Grossa, Paraná, BrazilDepartamento de Engenharia Eletrônica, Universidade Tecnológica Federal do Paraná, Ponta Grossa, Paraná, BrazilDepartamento de Engenharia Eletrônica, Universidade Tecnológica Federal do Paraná, Ponta Grossa, Paraná, BrazilDepartamento de Estatística, Matemática Aplicada e Computação, Instituto de Geociências e Ciências Exatas, Rio Claro, Rio de Janeiro, BrazilDuring the last decade the chaotic behavior in MEMS resonators have been reported in a number of works. Here, the chaotic behavior of a micro-mechanical resonator is suppressed. The aim is to control the system forcing it to an orbit of the analytical solution obtained by the multiple scales method. The State Dependent Riccati Equation (SDRE) and the Optimal Linear Feedback Control (OLFC) strategies are used for controlling the trajectory of the system. Additionally, the SDRE technique is used in the state estimator design. The state estimation and the control techniques proved to be effective in controlling the trajectory of the system. Additionally, the robustness of the control strategies are tested considering parametric errors and measurement noise in the control loop.http://dx.doi.org/10.3233/SAV-130782 |
| spellingShingle | Angelo Marcelo Tusset Átila Madureira Bueno Claudinor Bitencourt Nascimento Mauricio dos Santos Kaster José Manoel Balthazar Nonlinear State Estimation and Control for Chaos Suppression in MEMS Resonator Shock and Vibration |
| title | Nonlinear State Estimation and Control for Chaos Suppression in MEMS Resonator |
| title_full | Nonlinear State Estimation and Control for Chaos Suppression in MEMS Resonator |
| title_fullStr | Nonlinear State Estimation and Control for Chaos Suppression in MEMS Resonator |
| title_full_unstemmed | Nonlinear State Estimation and Control for Chaos Suppression in MEMS Resonator |
| title_short | Nonlinear State Estimation and Control for Chaos Suppression in MEMS Resonator |
| title_sort | nonlinear state estimation and control for chaos suppression in mems resonator |
| url | http://dx.doi.org/10.3233/SAV-130782 |
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