Extended Nonsingular Terminal Sliding Surface for Second-Order Nonlinear Systems
An extended nonsingular terminal sliding surface is proposed for second-order nonlinear systems. It is shown that the proposed surface is a superset of a conventional nonsingular terminal sliding surface which guarantees that the system state gets to zero in finite time. The conventional nonsingular...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/267510 |
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| _version_ | 1850165899580932096 |
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| author | Ji Wung Jeong Ho Suk Yeon Kang-Bak Park |
| author_facet | Ji Wung Jeong Ho Suk Yeon Kang-Bak Park |
| author_sort | Ji Wung Jeong |
| collection | DOAJ |
| description | An extended nonsingular terminal sliding surface is proposed for second-order nonlinear systems. It is shown that the proposed surface is a superset of a conventional nonsingular terminal sliding surface which guarantees that the system state gets to zero in finite time. The conventional nonsingular sliding surfaces have been designed using a power function whose exponent is a rational number with positive odd numerator and denominator. The proposed nonsingular terminal sliding surface overcomes the restriction on the exponent of a power function; that is, the exponent can be a positive real number. Simulation results are provided to show the validity of the main result. |
| format | Article |
| id | doaj-art-dc8a9f7c90c74436a46ea7ceee4a60e2 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-dc8a9f7c90c74436a46ea7ceee4a60e22025-08-20T02:21:37ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/267510267510Extended Nonsingular Terminal Sliding Surface for Second-Order Nonlinear SystemsJi Wung Jeong0Ho Suk Yeon1Kang-Bak Park2Department of Control and Instrumentation Engineering, Korea University, 2511 Sejong-ro, Sejong City 339-700, Republic of KoreaDepartment of Control and Instrumentation Engineering, Korea University, 2511 Sejong-ro, Sejong City 339-700, Republic of KoreaDepartment of Control and Instrumentation Engineering, Korea University, 2511 Sejong-ro, Sejong City 339-700, Republic of KoreaAn extended nonsingular terminal sliding surface is proposed for second-order nonlinear systems. It is shown that the proposed surface is a superset of a conventional nonsingular terminal sliding surface which guarantees that the system state gets to zero in finite time. The conventional nonsingular sliding surfaces have been designed using a power function whose exponent is a rational number with positive odd numerator and denominator. The proposed nonsingular terminal sliding surface overcomes the restriction on the exponent of a power function; that is, the exponent can be a positive real number. Simulation results are provided to show the validity of the main result.http://dx.doi.org/10.1155/2014/267510 |
| spellingShingle | Ji Wung Jeong Ho Suk Yeon Kang-Bak Park Extended Nonsingular Terminal Sliding Surface for Second-Order Nonlinear Systems Abstract and Applied Analysis |
| title | Extended Nonsingular Terminal Sliding Surface for Second-Order Nonlinear Systems |
| title_full | Extended Nonsingular Terminal Sliding Surface for Second-Order Nonlinear Systems |
| title_fullStr | Extended Nonsingular Terminal Sliding Surface for Second-Order Nonlinear Systems |
| title_full_unstemmed | Extended Nonsingular Terminal Sliding Surface for Second-Order Nonlinear Systems |
| title_short | Extended Nonsingular Terminal Sliding Surface for Second-Order Nonlinear Systems |
| title_sort | extended nonsingular terminal sliding surface for second order nonlinear systems |
| url | http://dx.doi.org/10.1155/2014/267510 |
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