Adaptive Fractional Fuzzy Sliding Mode Control for Multivariable Nonlinear Systems
This paper presents a robust adaptive fuzzy sliding mode control method for a class of uncertain nonlinear systems. The fractional order calculus is employed in the parameter updating stage. The underlying stability analysis as well as parameter update law design is carried out by Lyapunov based tec...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/541918 |
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| _version_ | 1832559050771922944 |
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| author | Junhai Luo Heng Liu |
| author_facet | Junhai Luo Heng Liu |
| author_sort | Junhai Luo |
| collection | DOAJ |
| description | This paper presents a robust adaptive fuzzy sliding mode control method for a class of uncertain nonlinear systems. The fractional order calculus is employed in the parameter updating stage. The underlying stability analysis as well as parameter update law design is carried out by Lyapunov based technique. In the simulation, two examples including a comparison with the traditional integer order counterpart are given to show the effectiveness of the proposed method. The main contribution of this paper consists in the control performance is better for the fractional order updating law than that of traditional integer order. |
| format | Article |
| id | doaj-art-08a5f4d894b84a2e989656ec250e0fba |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-08a5f4d894b84a2e989656ec250e0fba2025-02-03T01:30:52ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/541918541918Adaptive Fractional Fuzzy Sliding Mode Control for Multivariable Nonlinear SystemsJunhai Luo0Heng Liu1School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaDepartment of Mathematics and Computational Science, Huainan Normal University, Huainan 232038, ChinaThis paper presents a robust adaptive fuzzy sliding mode control method for a class of uncertain nonlinear systems. The fractional order calculus is employed in the parameter updating stage. The underlying stability analysis as well as parameter update law design is carried out by Lyapunov based technique. In the simulation, two examples including a comparison with the traditional integer order counterpart are given to show the effectiveness of the proposed method. The main contribution of this paper consists in the control performance is better for the fractional order updating law than that of traditional integer order.http://dx.doi.org/10.1155/2014/541918 |
| spellingShingle | Junhai Luo Heng Liu Adaptive Fractional Fuzzy Sliding Mode Control for Multivariable Nonlinear Systems Discrete Dynamics in Nature and Society |
| title | Adaptive Fractional Fuzzy Sliding Mode Control for Multivariable Nonlinear Systems |
| title_full | Adaptive Fractional Fuzzy Sliding Mode Control for Multivariable Nonlinear Systems |
| title_fullStr | Adaptive Fractional Fuzzy Sliding Mode Control for Multivariable Nonlinear Systems |
| title_full_unstemmed | Adaptive Fractional Fuzzy Sliding Mode Control for Multivariable Nonlinear Systems |
| title_short | Adaptive Fractional Fuzzy Sliding Mode Control for Multivariable Nonlinear Systems |
| title_sort | adaptive fractional fuzzy sliding mode control for multivariable nonlinear systems |
| url | http://dx.doi.org/10.1155/2014/541918 |
| work_keys_str_mv | AT junhailuo adaptivefractionalfuzzyslidingmodecontrolformultivariablenonlinearsystems AT hengliu adaptivefractionalfuzzyslidingmodecontrolformultivariablenonlinearsystems |