A New Finite-Time Observer for Nonlinear Systems: Applications to Synchronization of Lorenz-Like Systems
This paper proposes a synchronization methodology of two chaotic oscillators under the framework of identical synchronization and master-slave configuration. The proposed methodology is based on state observer design under the frame of control theory; the observer structure provides finite-time sync...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2016/8342089 |
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| _version_ | 1832554162004426752 |
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| author | Ricardo Aguilar-López Juan L. Mata-Machuca |
| author_facet | Ricardo Aguilar-López Juan L. Mata-Machuca |
| author_sort | Ricardo Aguilar-López |
| collection | DOAJ |
| description | This paper proposes a synchronization methodology of two chaotic oscillators under the framework of identical synchronization and master-slave configuration. The proposed methodology is based on state observer design under the frame of control theory; the observer structure provides finite-time synchronization convergence by cancelling the upper bounds of the main nonlinearities of the chaotic oscillator. The above is showed via an analysis of the dynamic of the so called synchronization error. Numerical experiments corroborate the satisfactory results of the proposed scheme. |
| format | Article |
| id | doaj-art-85da13f282634b208869dc33b1130394 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-85da13f282634b208869dc33b11303942025-02-03T05:52:09ZengWileyThe Scientific World Journal2356-61401537-744X2016-01-01201610.1155/2016/83420898342089A New Finite-Time Observer for Nonlinear Systems: Applications to Synchronization of Lorenz-Like SystemsRicardo Aguilar-López0Juan L. Mata-Machuca1CINVESTAV-IPN, Departamento de Biotecnología y Bioingeniería, Av. IPN 2508, Col. San Pedro Zacatenco, Del. Gustavo A. Madero, Ciudad de México, MexicoInstituto Politécnico Nacional, Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Academia de Mecatrónica, Av. IPN 2580, Col. Laguna Ticomán, Del. Gustavo A. Madero, Ciudad de México, MexicoThis paper proposes a synchronization methodology of two chaotic oscillators under the framework of identical synchronization and master-slave configuration. The proposed methodology is based on state observer design under the frame of control theory; the observer structure provides finite-time synchronization convergence by cancelling the upper bounds of the main nonlinearities of the chaotic oscillator. The above is showed via an analysis of the dynamic of the so called synchronization error. Numerical experiments corroborate the satisfactory results of the proposed scheme.http://dx.doi.org/10.1155/2016/8342089 |
| spellingShingle | Ricardo Aguilar-López Juan L. Mata-Machuca A New Finite-Time Observer for Nonlinear Systems: Applications to Synchronization of Lorenz-Like Systems The Scientific World Journal |
| title | A New Finite-Time Observer for Nonlinear Systems: Applications to Synchronization of Lorenz-Like Systems |
| title_full | A New Finite-Time Observer for Nonlinear Systems: Applications to Synchronization of Lorenz-Like Systems |
| title_fullStr | A New Finite-Time Observer for Nonlinear Systems: Applications to Synchronization of Lorenz-Like Systems |
| title_full_unstemmed | A New Finite-Time Observer for Nonlinear Systems: Applications to Synchronization of Lorenz-Like Systems |
| title_short | A New Finite-Time Observer for Nonlinear Systems: Applications to Synchronization of Lorenz-Like Systems |
| title_sort | new finite time observer for nonlinear systems applications to synchronization of lorenz like systems |
| url | http://dx.doi.org/10.1155/2016/8342089 |
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