Controlling Rucklidge chaotic system with a single controller using linear feedback and passive control methods
In this paper, the control of chaos with a single controller, which provides simplicity in implementation, is investigated in continuous time nonlinear Rucklidge system. For this purpose, a linear feedback controller and a passive controller are constructed and added to the Rucklidge chaotic system....
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| Veröffentlicht in: | Nonlinear dynamics 2014, Vol.75 (1-2), p.63-72 |
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| container_title | Nonlinear dynamics |
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| creator | Kocamaz, Uğur Erkin Uyaroğlu, Yılmaz |
| description | In this paper, the control of chaos with a single controller, which provides simplicity in implementation, is investigated in continuous time nonlinear Rucklidge system. For this purpose, a linear feedback controller and a passive controller are constructed and added to the Rucklidge chaotic system. Lyapunov function is used to realize that the controller ensures the global asymptotic stability of the system. Owing to the controller, Rucklidge chaotic system can be regulated to its equilibrium points. Numerical simulations of the proposed methods and local relay control method have been demonstrated, compared and discussed. |
| doi_str_mv | 10.1007/s11071-013-1049-7 |
| format | Article |
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Numerical simulations of the proposed methods and local relay control method have been demonstrated, compared and discussed.</description><subject>Asymptotic properties</subject><subject>Automotive Engineering</subject><subject>Chaos theory</subject><subject>Classical Mechanics</subject><subject>Computer simulation</subject><subject>Continuous time systems</subject><subject>Control</subject><subject>Control methods</subject><subject>Control stability</subject><subject>Control systems</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Feedback control</subject><subject>Liapunov functions</subject><subject>Mechanical Engineering</subject><subject>Original Paper</subject><subject>Passive control</subject><subject>Vibration</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kU1LxDAQhoMouK7-AG8BL16qk482m6MsfsGCIAreQppOd6vdZk1axX9vyi4KgqcMyfPMZHgJOWVwwQDUZWQMFMuAiYyB1JnaIxOWK5HxQr_skwloLjPQ8HJIjmJ8BQDBYTYhfu67Pvi2bbolfRzcW9tUS6RuZX3fOBq_Yo9r-tn0K2ppTFCbHncKBjqMVzTJaAOtEavSujdqu4pubIzNxw9M19ivfBWPyUFt24gnu3NKnm-un-Z32eLh9n5-tcickLrPFFg3wxmTDJjOCyuhrrSTitm8VLpAKLEWaViZCpcWrmqFsiy4k5ZXGoWYkvNt303w7wPG3qyb6LBtbYd-iIblUAjFhYKEnv1BX_0QuvQ7w3muZZ5LphLFtpQLPsaAtdmEZm3Dl2FgxgjMNgKTIjBjBGZ0-NaJie2WGH47_y99A09fizY</recordid><startdate>2014</startdate><enddate>2014</enddate><creator>Kocamaz, Uğur Erkin</creator><creator>Uyaroğlu, Yılmaz</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</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></search><sort><creationdate>2014</creationdate><title>Controlling Rucklidge chaotic system with a single controller using linear feedback and passive control methods</title><author>Kocamaz, Uğur Erkin ; 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| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Asymptotic properties Automotive Engineering Chaos theory Classical Mechanics Computer simulation Continuous time systems Control Control methods Control stability Control systems Dynamical Systems Engineering Feedback control Liapunov functions Mechanical Engineering Original Paper Passive control Vibration |
| title | Controlling Rucklidge chaotic system with a single controller using linear feedback and passive control methods |
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