Robust Output Synchronization of Arrays of Chaotic Sprott Circuits
This article presents a technique for synchronizing arrays of a class of chaotic systems known as Sprott circuits. This technique can be applied to different topologies and is robust to parametric uncertainties caused by tolerances in the electronic components. The design of coupling signals is base...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/5201634 |
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| author | Ernesto V. Gonzalez Solis David I. Rosas Almeida |
| author_facet | Ernesto V. Gonzalez Solis David I. Rosas Almeida |
| author_sort | Ernesto V. Gonzalez Solis |
| collection | DOAJ |
| description | This article presents a technique for synchronizing arrays of a class of chaotic systems known as Sprott circuits. This technique can be applied to different topologies and is robust to parametric uncertainties caused by tolerances in the electronic components. The design of coupling signals is based on the definition of a set of functionals which depend on the errors between the outputs of the nodes and the errors between the output of a reference system and the outputs of the nodes. When there are no parametric uncertainties, we establish a criterion to design the coupling signals using only one state variable of each system. When the parametric uncertainties are present, we add a robust observer and a low pass filter to estimate the perturbation terms, which are subsequently compensated through the coupling signals, resulting in a robust closed loop system. The performance of the synchronization technique is illustrated by real-time simulations. |
| format | Article |
| id | doaj-art-f89eb4e816a34b6b8d5ecfad47145cc3 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-f89eb4e816a34b6b8d5ecfad47145cc32025-02-03T05:53:16ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/52016345201634Robust Output Synchronization of Arrays of Chaotic Sprott CircuitsErnesto V. Gonzalez Solis0David I. Rosas Almeida1Facultad de Ingeniería, Universidad Autónoma de Baja California, Blvd. Benito Juárez s/n, Mexicali, BC, MexicoFacultad de Ingeniería, Universidad Autónoma de Baja California, Blvd. Benito Juárez s/n, Mexicali, BC, MexicoThis article presents a technique for synchronizing arrays of a class of chaotic systems known as Sprott circuits. This technique can be applied to different topologies and is robust to parametric uncertainties caused by tolerances in the electronic components. The design of coupling signals is based on the definition of a set of functionals which depend on the errors between the outputs of the nodes and the errors between the output of a reference system and the outputs of the nodes. When there are no parametric uncertainties, we establish a criterion to design the coupling signals using only one state variable of each system. When the parametric uncertainties are present, we add a robust observer and a low pass filter to estimate the perturbation terms, which are subsequently compensated through the coupling signals, resulting in a robust closed loop system. The performance of the synchronization technique is illustrated by real-time simulations.http://dx.doi.org/10.1155/2017/5201634 |
| spellingShingle | Ernesto V. Gonzalez Solis David I. Rosas Almeida Robust Output Synchronization of Arrays of Chaotic Sprott Circuits Advances in Mathematical Physics |
| title | Robust Output Synchronization of Arrays of Chaotic Sprott Circuits |
| title_full | Robust Output Synchronization of Arrays of Chaotic Sprott Circuits |
| title_fullStr | Robust Output Synchronization of Arrays of Chaotic Sprott Circuits |
| title_full_unstemmed | Robust Output Synchronization of Arrays of Chaotic Sprott Circuits |
| title_short | Robust Output Synchronization of Arrays of Chaotic Sprott Circuits |
| title_sort | robust output synchronization of arrays of chaotic sprott circuits |
| url | http://dx.doi.org/10.1155/2017/5201634 |
| work_keys_str_mv | AT ernestovgonzalezsolis robustoutputsynchronizationofarraysofchaoticsprottcircuits AT davidirosasalmeida robustoutputsynchronizationofarraysofchaoticsprottcircuits |