Nonlinear Integral Sliding Mode Control for a Second Order Nonlinear System
A nonlinear integral sliding-mode control (NISMC) scheme is proposed for second order nonlinear systems. The new control scheme is characterized by a nonlinear integral sliding manifold which inherits the desired properties of the integral sliding manifold, such as robustness to system external dist...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2015/218198 |
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| _version_ | 1832557075330236416 |
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| author | Xie Zheng Xie Jian Du Wenzheng Cheng Hongjie |
| author_facet | Xie Zheng Xie Jian Du Wenzheng Cheng Hongjie |
| author_sort | Xie Zheng |
| collection | DOAJ |
| description | A nonlinear integral sliding-mode control (NISMC) scheme is proposed for second order nonlinear systems. The new control scheme is characterized by a nonlinear integral sliding manifold which inherits the desired properties of the integral sliding manifold, such as robustness to system external disturbance. In particular, compared with four kinds of sliding mode control (SMC), the proposed control scheme is able to provide better transient performances. Furthermore, the proposed scheme ensures the zero steady-state error in the presence of a constant disturbance or an asymptotically constant disturbance is proved by Lyapunov stability theory and LaSalle invariance principle. Finally, both the theoretical analysis and simulation examples demonstrate the validity of the proposed scheme. |
| format | Article |
| id | doaj-art-16e228bbb79049b5bc167b6879f8d1e4 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-16e228bbb79049b5bc167b6879f8d1e42025-02-03T05:43:41ZengWileyJournal of Control Science and Engineering1687-52491687-52572015-01-01201510.1155/2015/218198218198Nonlinear Integral Sliding Mode Control for a Second Order Nonlinear SystemXie Zheng0Xie Jian1Du Wenzheng2Cheng Hongjie3Xi’an High Technology Research Institute, Xi’an 710025, ChinaXi’an High Technology Research Institute, Xi’an 710025, ChinaXi’an High Technology Research Institute, Xi’an 710025, ChinaXi’an High Technology Research Institute, Xi’an 710025, ChinaA nonlinear integral sliding-mode control (NISMC) scheme is proposed for second order nonlinear systems. The new control scheme is characterized by a nonlinear integral sliding manifold which inherits the desired properties of the integral sliding manifold, such as robustness to system external disturbance. In particular, compared with four kinds of sliding mode control (SMC), the proposed control scheme is able to provide better transient performances. Furthermore, the proposed scheme ensures the zero steady-state error in the presence of a constant disturbance or an asymptotically constant disturbance is proved by Lyapunov stability theory and LaSalle invariance principle. Finally, both the theoretical analysis and simulation examples demonstrate the validity of the proposed scheme.http://dx.doi.org/10.1155/2015/218198 |
| spellingShingle | Xie Zheng Xie Jian Du Wenzheng Cheng Hongjie Nonlinear Integral Sliding Mode Control for a Second Order Nonlinear System Journal of Control Science and Engineering |
| title | Nonlinear Integral Sliding Mode Control for a Second Order Nonlinear System |
| title_full | Nonlinear Integral Sliding Mode Control for a Second Order Nonlinear System |
| title_fullStr | Nonlinear Integral Sliding Mode Control for a Second Order Nonlinear System |
| title_full_unstemmed | Nonlinear Integral Sliding Mode Control for a Second Order Nonlinear System |
| title_short | Nonlinear Integral Sliding Mode Control for a Second Order Nonlinear System |
| title_sort | nonlinear integral sliding mode control for a second order nonlinear system |
| url | http://dx.doi.org/10.1155/2015/218198 |
| work_keys_str_mv | AT xiezheng nonlinearintegralslidingmodecontrolforasecondordernonlinearsystem AT xiejian nonlinearintegralslidingmodecontrolforasecondordernonlinearsystem AT duwenzheng nonlinearintegralslidingmodecontrolforasecondordernonlinearsystem AT chenghongjie nonlinearintegralslidingmodecontrolforasecondordernonlinearsystem |