Eintrag weiter verarbeiten
Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control
Gespeichert in:
| Zeitschriftentitel: | Nonlinear Engineering |
|---|---|
| Personen und Körperschaften: | , |
| In: | Nonlinear Engineering, 5, 2016, 3 |
| Format: | E-Article |
| Sprache: | Unbestimmt |
| veröffentlicht: |
Walter de Gruyter GmbH
|
| Schlagwörter: |
| author_facet |
Rajagopal, Karthikeyan Karthikeyan, Anitha Rajagopal, Karthikeyan Karthikeyan, Anitha |
|---|---|
| author |
Rajagopal, Karthikeyan Karthikeyan, Anitha |
| spellingShingle |
Rajagopal, Karthikeyan Karthikeyan, Anitha Nonlinear Engineering Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control Computer Networks and Communications General Engineering Modeling and Simulation General Chemical Engineering |
| author_sort |
rajagopal, karthikeyan |
| spelling |
Rajagopal, Karthikeyan Karthikeyan, Anitha 2192-8029 2192-8010 Walter de Gruyter GmbH Computer Networks and Communications General Engineering Modeling and Simulation General Chemical Engineering http://dx.doi.org/10.1515/nleng-2016-0027 <jats:title>Abstract</jats:title><jats:p>Most of the Real systems shows chaotic behavior when they approach complex states. Especially in physical and chemical systems these behaviors define the character of the system. The control of these chaotic behaviors is of very high practical importance and hence mathematical models of these chaotic systems proves vital in deciding the control structures. One such model of chemical reactors is the Willamowski–Rössler system (WR). In this paper we derive a fractional order sliding mode control scheme where the states of the WR system are driven back to the defined equilibrium points. We have also synchronized master and slave fractional order WR system using sliding mode control. As the entire control law is defined in fractional order, we derived a new methodology to prove the stability of the controller. The numerical simulation and analysis are achieved with LabVIEW.</jats:p> Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control Nonlinear Engineering |
| doi_str_mv |
10.1515/nleng-2016-0027 |
| facet_avail |
Online Free |
| finc_class_facet |
Informatik |
| format |
ElectronicArticle |
| fullrecord |
blob:ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTUxNS9ubGVuZy0yMDE2LTAwMjc |
| id |
ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTUxNS9ubGVuZy0yMDE2LTAwMjc |
| institution |
DE-D275 DE-Bn3 DE-Brt1 DE-Zwi2 DE-D161 DE-Gla1 DE-Zi4 DE-15 DE-Pl11 DE-Rs1 DE-105 DE-14 DE-Ch1 DE-L229 |
| imprint |
Walter de Gruyter GmbH, 2016 |
| imprint_str_mv |
Walter de Gruyter GmbH, 2016 |
| issn |
2192-8010 2192-8029 |
| issn_str_mv |
2192-8010 2192-8029 |
| language |
Undetermined |
| mega_collection |
Walter de Gruyter GmbH (CrossRef) |
| match_str |
rajagopal2016chaossuppressionoffractionalorderwillamowskirosslerchemicalsystemanditssynchronizationusingslidingmodecontrol |
| publishDateSort |
2016 |
| publisher |
Walter de Gruyter GmbH |
| recordtype |
ai |
| record_format |
ai |
| series |
Nonlinear Engineering |
| source_id |
49 |
| title |
Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control |
| title_unstemmed |
Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control |
| title_full |
Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control |
| title_fullStr |
Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control |
| title_full_unstemmed |
Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control |
| title_short |
Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control |
| title_sort |
chaos suppression of fractional order willamowski–rössler chemical system and its synchronization using sliding mode control |
| topic |
Computer Networks and Communications General Engineering Modeling and Simulation General Chemical Engineering |
| url |
http://dx.doi.org/10.1515/nleng-2016-0027 |
| publishDate |
2016 |
| physical |
|
| description |
<jats:title>Abstract</jats:title><jats:p>Most of the Real systems shows chaotic behavior when they approach complex states. Especially in physical and chemical systems these behaviors define the character of the system. The control of these chaotic behaviors is of very high practical importance and hence mathematical models of these chaotic systems proves vital in deciding the control structures. One such model of chemical reactors is the Willamowski–Rössler system (WR). In this paper we derive a fractional order sliding mode control scheme where the states of the WR system are driven back to the defined equilibrium points. We have also synchronized master and slave fractional order WR system using sliding mode control. As the entire control law is defined in fractional order, we derived a new methodology to prove the stability of the controller. The numerical simulation and analysis are achieved with LabVIEW.</jats:p> |
| container_issue |
3 |
| container_start_page |
0 |
| container_title |
Nonlinear Engineering |
| container_volume |
5 |
| format_de105 |
Article, E-Article |
| format_de14 |
Article, E-Article |
| format_de15 |
Article, E-Article |
| format_de520 |
Article, E-Article |
| format_de540 |
Article, E-Article |
| format_dech1 |
Article, E-Article |
| format_ded117 |
Article, E-Article |
| format_degla1 |
E-Article |
| format_del152 |
Buch |
| format_del189 |
Article, E-Article |
| format_dezi4 |
Article |
| format_dezwi2 |
Article, E-Article |
| format_finc |
Article, E-Article |
| format_nrw |
Article, E-Article |
| _version_ |
1792328281399230473 |
| geogr_code |
not assigned |
| last_indexed |
2024-03-01T12:50:47.273Z |
| geogr_code_person |
not assigned |
| openURL |
url_ver=Z39.88-2004&ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fvufind.svn.sourceforge.net%3Agenerator&rft.title=Chaos+suppression+of+Fractional+order+Willamowski%E2%80%93R%C3%B6ssler+Chemical+system+and+its+synchronization+using+Sliding+Mode+Control&rft.date=2016-01-01&genre=article&issn=2192-8010&volume=5&issue=3&jtitle=Nonlinear+Engineering&atitle=Chaos+suppression+of+Fractional+order+Willamowski%E2%80%93R%C3%B6ssler+Chemical+system+and+its+synchronization+using+Sliding+Mode+Control&aulast=Karthikeyan&aufirst=Anitha&rft_id=info%3Adoi%2F10.1515%2Fnleng-2016-0027&rft.language%5B0%5D=und |
| SOLR | |
| _version_ | 1792328281399230473 |
| author | Rajagopal, Karthikeyan, Karthikeyan, Anitha |
| author_facet | Rajagopal, Karthikeyan, Karthikeyan, Anitha, Rajagopal, Karthikeyan, Karthikeyan, Anitha |
| author_sort | rajagopal, karthikeyan |
| container_issue | 3 |
| container_start_page | 0 |
| container_title | Nonlinear Engineering |
| container_volume | 5 |
| description | <jats:title>Abstract</jats:title><jats:p>Most of the Real systems shows chaotic behavior when they approach complex states. Especially in physical and chemical systems these behaviors define the character of the system. The control of these chaotic behaviors is of very high practical importance and hence mathematical models of these chaotic systems proves vital in deciding the control structures. One such model of chemical reactors is the Willamowski–Rössler system (WR). In this paper we derive a fractional order sliding mode control scheme where the states of the WR system are driven back to the defined equilibrium points. We have also synchronized master and slave fractional order WR system using sliding mode control. As the entire control law is defined in fractional order, we derived a new methodology to prove the stability of the controller. The numerical simulation and analysis are achieved with LabVIEW.</jats:p> |
| doi_str_mv | 10.1515/nleng-2016-0027 |
| facet_avail | Online, Free |
| finc_class_facet | Informatik |
| format | ElectronicArticle |
| format_de105 | Article, E-Article |
| format_de14 | Article, E-Article |
| format_de15 | Article, E-Article |
| format_de520 | Article, E-Article |
| format_de540 | Article, E-Article |
| format_dech1 | Article, E-Article |
| format_ded117 | Article, E-Article |
| format_degla1 | E-Article |
| format_del152 | Buch |
| format_del189 | Article, E-Article |
| format_dezi4 | Article |
| format_dezwi2 | Article, E-Article |
| format_finc | Article, E-Article |
| format_nrw | Article, E-Article |
| geogr_code | not assigned |
| geogr_code_person | not assigned |
| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTUxNS9ubGVuZy0yMDE2LTAwMjc |
| imprint | Walter de Gruyter GmbH, 2016 |
| imprint_str_mv | Walter de Gruyter GmbH, 2016 |
| institution | DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229 |
| issn | 2192-8010, 2192-8029 |
| issn_str_mv | 2192-8010, 2192-8029 |
| language | Undetermined |
| last_indexed | 2024-03-01T12:50:47.273Z |
| match_str | rajagopal2016chaossuppressionoffractionalorderwillamowskirosslerchemicalsystemanditssynchronizationusingslidingmodecontrol |
| mega_collection | Walter de Gruyter GmbH (CrossRef) |
| physical | |
| publishDate | 2016 |
| publishDateSort | 2016 |
| publisher | Walter de Gruyter GmbH |
| record_format | ai |
| recordtype | ai |
| series | Nonlinear Engineering |
| source_id | 49 |
| spelling | Rajagopal, Karthikeyan Karthikeyan, Anitha 2192-8029 2192-8010 Walter de Gruyter GmbH Computer Networks and Communications General Engineering Modeling and Simulation General Chemical Engineering http://dx.doi.org/10.1515/nleng-2016-0027 <jats:title>Abstract</jats:title><jats:p>Most of the Real systems shows chaotic behavior when they approach complex states. Especially in physical and chemical systems these behaviors define the character of the system. The control of these chaotic behaviors is of very high practical importance and hence mathematical models of these chaotic systems proves vital in deciding the control structures. One such model of chemical reactors is the Willamowski–Rössler system (WR). In this paper we derive a fractional order sliding mode control scheme where the states of the WR system are driven back to the defined equilibrium points. We have also synchronized master and slave fractional order WR system using sliding mode control. As the entire control law is defined in fractional order, we derived a new methodology to prove the stability of the controller. The numerical simulation and analysis are achieved with LabVIEW.</jats:p> Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control Nonlinear Engineering |
| spellingShingle | Rajagopal, Karthikeyan, Karthikeyan, Anitha, Nonlinear Engineering, Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control, Computer Networks and Communications, General Engineering, Modeling and Simulation, General Chemical Engineering |
| title | Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control |
| title_full | Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control |
| title_fullStr | Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control |
| title_full_unstemmed | Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control |
| title_short | Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control |
| title_sort | chaos suppression of fractional order willamowski–rössler chemical system and its synchronization using sliding mode control |
| title_unstemmed | Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control |
| topic | Computer Networks and Communications, General Engineering, Modeling and Simulation, General Chemical Engineering |
| url | http://dx.doi.org/10.1515/nleng-2016-0027 |