No Chattering and Adaptive Sliding Mode Control of a Fractional-Order Phase Converter with Disturbances and Parameter Uncertainties
Discussing the dynamical properties of various power system models is of significant importance in order to understand its complete behavior. Even though there are many literatures discussing about the chaotic behavior shown by phase converter circuits, none of them have reported the hazardous pheno...
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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: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/5873230 |
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| author | Karthikeyan Rajagopal Riessom Weldegiorgis Anitha Karthikeyan Prakash Duraisamy Goitom Tadesse |
| author_facet | Karthikeyan Rajagopal Riessom Weldegiorgis Anitha Karthikeyan Prakash Duraisamy Goitom Tadesse |
| author_sort | Karthikeyan Rajagopal |
| collection | DOAJ |
| description | Discussing the dynamical properties of various power system models is of significant importance in order to understand its complete behavior. Even though there are many literatures discussing about the chaotic behavior shown by phase converter circuits, none of them have reported the hazardous phenomenon of multistability. In this paper, we derive the fractional-order model of a phase converter circuit and investigate its dynamics. Bifurcation of the system with the parameters and fractional order are investigated. A forward and backward continuation scheme is adopted to display various coexisting attractors; the property of multistability is also discussed. Using forward and backward continuation, various coexisting attractors and the property of multistability are discussed. Two different sliding mode controllers for controlling chaotic oscillations with model disturbances and parameter uncertainties are derived, and the effectiveness of the controllers is discussed with numerical simulations. |
| format | Article |
| id | doaj-art-ac59b8c20dc54a8f96bafc14d4920fd8 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-ac59b8c20dc54a8f96bafc14d4920fd82025-02-03T06:14:07ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/58732305873230No Chattering and Adaptive Sliding Mode Control of a Fractional-Order Phase Converter with Disturbances and Parameter UncertaintiesKarthikeyan Rajagopal0Riessom Weldegiorgis1Anitha Karthikeyan2Prakash Duraisamy3Goitom Tadesse4Center for Nonlinear Dynamics, Defence University, EthiopiaCenter for Nonlinear Dynamics, Defence University, EthiopiaCenter for Nonlinear Dynamics, Defence University, EthiopiaCenter for Nonlinear Dynamics, Defence University, EthiopiaCenter for Nonlinear Dynamics, Defence University, EthiopiaDiscussing the dynamical properties of various power system models is of significant importance in order to understand its complete behavior. Even though there are many literatures discussing about the chaotic behavior shown by phase converter circuits, none of them have reported the hazardous phenomenon of multistability. In this paper, we derive the fractional-order model of a phase converter circuit and investigate its dynamics. Bifurcation of the system with the parameters and fractional order are investigated. A forward and backward continuation scheme is adopted to display various coexisting attractors; the property of multistability is also discussed. Using forward and backward continuation, various coexisting attractors and the property of multistability are discussed. Two different sliding mode controllers for controlling chaotic oscillations with model disturbances and parameter uncertainties are derived, and the effectiveness of the controllers is discussed with numerical simulations.http://dx.doi.org/10.1155/2018/5873230 |
| spellingShingle | Karthikeyan Rajagopal Riessom Weldegiorgis Anitha Karthikeyan Prakash Duraisamy Goitom Tadesse No Chattering and Adaptive Sliding Mode Control of a Fractional-Order Phase Converter with Disturbances and Parameter Uncertainties Complexity |
| title | No Chattering and Adaptive Sliding Mode Control of a Fractional-Order Phase Converter with Disturbances and Parameter Uncertainties |
| title_full | No Chattering and Adaptive Sliding Mode Control of a Fractional-Order Phase Converter with Disturbances and Parameter Uncertainties |
| title_fullStr | No Chattering and Adaptive Sliding Mode Control of a Fractional-Order Phase Converter with Disturbances and Parameter Uncertainties |
| title_full_unstemmed | No Chattering and Adaptive Sliding Mode Control of a Fractional-Order Phase Converter with Disturbances and Parameter Uncertainties |
| title_short | No Chattering and Adaptive Sliding Mode Control of a Fractional-Order Phase Converter with Disturbances and Parameter Uncertainties |
| title_sort | no chattering and adaptive sliding mode control of a fractional order phase converter with disturbances and parameter uncertainties |
| url | http://dx.doi.org/10.1155/2018/5873230 |
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