A new fractional sliding mode controller based on nonlinear fractional-order proportional integral derivative controller structure to synchronize fractional-order chaotic systems with uncertainty and disturbances
This study presents a new fractional sliding mode controller based on nonlinear fractional-order proportional integral derivative controllers to synchronize fractional-order chaotic systems with uncertainties and affected by disturbance. According to the proposed control approach, a new fractional o...
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| Veröffentlicht in: | Journal of vibration and control 2022-04, Vol.28 (7-8), p.773-785 |
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| container_issue | 7-8 |
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| container_title | Journal of vibration and control |
| container_volume | 28 |
| creator | Mirrezapour, Seyede Zeynab Zare, Assef Hallaji, Majid |
| description | This study presents a new fractional sliding mode controller based on nonlinear fractional-order proportional integral derivative controllers to synchronize fractional-order chaotic systems with uncertainties and affected by disturbance. According to the proposed control approach, a new fractional order control law is presented which ensures robust and stable synchronization of chaotic systems in the presence of uncertainties of the master and slave systems and bounded disturbance according to Lyapunov theorem. The proposed sliding mode controller is used to synchronize two non-smooth chaotic jerk systems affected by disturbance and uncertainty. Simulation results verify effectiveness and robustness of the proposed control law. |
| doi_str_mv | 10.1177/1077546320982453 |
| format | Article |
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Simulation results verify effectiveness and robustness of the proposed control law.</description><subject>Chaos theory</subject><subject>Control theory</subject><subject>Controllers</subject><subject>Proportional integral derivative</subject><subject>Robust control</subject><subject>Sliding mode control</subject><subject>Synchronism</subject><subject>System effectiveness</subject><subject>Uncertainty</subject><issn>1077-5463</issn><issn>1741-2986</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1kU9rGzEQxZeQQBKn9x4FPW8rafVn9xhMmxQCubTnRSvN2jJryR1pE5zPmQ9UGRvapPSkQe-930gzVfWR0c-Maf2FUa2lUA2nXcuFbM6qK6YFq3nXqvNSF7k-6JfVdUobSqkQjF5Vr7ckwDMZ0djsYzATSZN3PqzINjogNoaMcZoAyWASOBIDCTFMPoDBv1J1RFc8O4y7iCeQDxlWWIqi-CeT_dMbXso42zwjkBxJ2ge7xhj8C_xLtWsTs7fFlDJsE3n2eU3mYAGzKU32xARHnE8FNphynW6qi9FMCT6czkX189vXH8v7-uHx7vvy9qG2De1y3clWl2l1A3SsGUfVNo47oa0BrlqpOFedk5JRaJ0TAx1kmaeUUqnBca6LfVF9OnLLv3_NkHK_iTOWh6eeK9FxLrQQxUWPLosxJYSx36HfGtz3jPaH3fXvd1ci9TGSzAr-QP_r_w3InZ_R</recordid><startdate>20220401</startdate><enddate>20220401</enddate><creator>Mirrezapour, Seyede Zeynab</creator><creator>Zare, Assef</creator><creator>Hallaji, Majid</creator><general>SAGE Publications</general><general>SAGE PUBLICATIONS, INC</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0003-4983-3698</orcidid><orcidid>https://orcid.org/0000-0003-1778-2603</orcidid></search><sort><creationdate>20220401</creationdate><title>A new fractional sliding mode controller based on nonlinear fractional-order proportional integral derivative controller structure to synchronize fractional-order chaotic systems with uncertainty and disturbances</title><author>Mirrezapour, Seyede Zeynab ; Zare, Assef ; Hallaji, Majid</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c309t-95870989be913ff683d2d47cae268562269d5510e8dd4b0b574155566bd227683</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Chaos theory</topic><topic>Control theory</topic><topic>Controllers</topic><topic>Proportional integral derivative</topic><topic>Robust control</topic><topic>Sliding mode control</topic><topic>Synchronism</topic><topic>System effectiveness</topic><topic>Uncertainty</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mirrezapour, Seyede Zeynab</creatorcontrib><creatorcontrib>Zare, Assef</creatorcontrib><creatorcontrib>Hallaji, Majid</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Journal of vibration and control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mirrezapour, Seyede Zeynab</au><au>Zare, Assef</au><au>Hallaji, Majid</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A new fractional sliding mode controller based on nonlinear fractional-order proportional integral derivative controller structure to synchronize fractional-order chaotic systems with uncertainty and disturbances</atitle><jtitle>Journal of vibration and control</jtitle><date>2022-04-01</date><risdate>2022</risdate><volume>28</volume><issue>7-8</issue><spage>773</spage><epage>785</epage><pages>773-785</pages><issn>1077-5463</issn><eissn>1741-2986</eissn><abstract>This study presents a new fractional sliding mode controller based on nonlinear fractional-order proportional integral derivative controllers to synchronize fractional-order chaotic systems with uncertainties and affected by disturbance. 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| identifier | ISSN: 1077-5463 |
| ispartof | Journal of vibration and control, 2022-04, Vol.28 (7-8), p.773-785 |
| issn | 1077-5463 1741-2986 |
| language | eng |
| recordid | cdi_proquest_journals_2649224744 |
| source | SAGE Complete A-Z List |
| subjects | Chaos theory Control theory Controllers Proportional integral derivative Robust control Sliding mode control Synchronism System effectiveness Uncertainty |
| title | A new fractional sliding mode controller based on nonlinear fractional-order proportional integral derivative controller structure to synchronize fractional-order chaotic systems with uncertainty and disturbances |
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