Optimal Robust Adaptive Fuzzy H∞ Tracking Control without Reaching Phase for Nonlinear System
An optimal H∞ tracking-based indirect adaptive fuzzy controller for a class of perturbed uncertain affine nonlinear systems without reaching phase is being developed in this paper. First a practical Interval Type-2 (IT2) fuzzy system is used in an adaptive scheme to approximate the system using a no...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2013/498461 |
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| _version_ | 1832554421088681984 |
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| author | El Mehdi Mellouli Siham Massou Ismail Boumhidi |
| author_facet | El Mehdi Mellouli Siham Massou Ismail Boumhidi |
| author_sort | El Mehdi Mellouli |
| collection | DOAJ |
| description | An optimal H∞ tracking-based indirect adaptive fuzzy controller for a class of perturbed uncertain affine nonlinear systems without reaching phase is being developed in this paper. First a practical Interval Type-2 (IT2) fuzzy system is used in an adaptive scheme to approximate the system using a nonlinear model and to determine the optimal value of the H∞ gain control. Secondly, to eliminate the trade-off between H∞ tracking performance and high gain at the control input, a modified output tracking error has been used. The stability is ensured through Lyapunov synthesis and the effectiveness of the proposed method is proved and the simulation is also given to illustrate the superiority of the proposed approach. |
| format | Article |
| id | doaj-art-5ca44eaaf8c84ae38b83f8d0a86f0bb1 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-5ca44eaaf8c84ae38b83f8d0a86f0bb12025-02-03T05:51:31ZengWileyJournal of Control Science and Engineering1687-52491687-52572013-01-01201310.1155/2013/498461498461Optimal Robust Adaptive Fuzzy H∞ Tracking Control without Reaching Phase for Nonlinear SystemEl Mehdi Mellouli0Siham Massou1Ismail Boumhidi2LESSI Laboratory, Department of Physics, Faculty of Sciences Dhar El Mehraz, B.P 1796, FES-Atlas 30000, MoroccoLESSI Laboratory, Department of Physics, Faculty of Sciences Dhar El Mehraz, B.P 1796, FES-Atlas 30000, MoroccoLESSI Laboratory, Department of Physics, Faculty of Sciences Dhar El Mehraz, B.P 1796, FES-Atlas 30000, MoroccoAn optimal H∞ tracking-based indirect adaptive fuzzy controller for a class of perturbed uncertain affine nonlinear systems without reaching phase is being developed in this paper. First a practical Interval Type-2 (IT2) fuzzy system is used in an adaptive scheme to approximate the system using a nonlinear model and to determine the optimal value of the H∞ gain control. Secondly, to eliminate the trade-off between H∞ tracking performance and high gain at the control input, a modified output tracking error has been used. The stability is ensured through Lyapunov synthesis and the effectiveness of the proposed method is proved and the simulation is also given to illustrate the superiority of the proposed approach.http://dx.doi.org/10.1155/2013/498461 |
| spellingShingle | El Mehdi Mellouli Siham Massou Ismail Boumhidi Optimal Robust Adaptive Fuzzy H∞ Tracking Control without Reaching Phase for Nonlinear System Journal of Control Science and Engineering |
| title | Optimal Robust Adaptive Fuzzy H∞ Tracking Control without Reaching Phase for Nonlinear System |
| title_full | Optimal Robust Adaptive Fuzzy H∞ Tracking Control without Reaching Phase for Nonlinear System |
| title_fullStr | Optimal Robust Adaptive Fuzzy H∞ Tracking Control without Reaching Phase for Nonlinear System |
| title_full_unstemmed | Optimal Robust Adaptive Fuzzy H∞ Tracking Control without Reaching Phase for Nonlinear System |
| title_short | Optimal Robust Adaptive Fuzzy H∞ Tracking Control without Reaching Phase for Nonlinear System |
| title_sort | optimal robust adaptive fuzzy h∞ tracking control without reaching phase for nonlinear system |
| url | http://dx.doi.org/10.1155/2013/498461 |
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