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A novel fuzzy sliding mode control approach for chaotic systems | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 11، دوره 18، شماره 6، بهمن و اسفند 2021، صفحه 133-150 اصل مقاله (1.45 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2021.6338 | ||
| نویسندگان | ||
| R. Khalili Amirabadi* ؛ O. S. Fard؛ A. Mansoori | ||
| Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran | ||
| چکیده | ||
| The purpose of this paper is to study the stabilization problem for a class of uncertain chaotic systems against unknown dynamics and disturbances, based on fuzzy sliding mode controller approaches. To fulfill this aim, the first- and the second-orders sliding mode controllers and an adaptive variable universe fuzzy sliding mode controller are combined to a set of linguistic rules, to design some novel approaches for improving the performance of the control action and eliminating the chattering issue. The stability analysis of the closed-loop system is proved via the Lyapunov stability theorem, and also the convergence of the tracking error to zero in finite-time is guaranteed. The new proposed control laws contribute the control actions to outperform the conventional one in terms of chattering reduction and elimination, along with lessening in the reaching time. Moreover, some numerical simulations are provided to depict that the proposed control laws are not only robust with respect to uncertainties and external disturbances, which lead the system to the desired state, but also can significantly eliminate the chattering effect. | ||
| کلیدواژهها | ||
| Sliding mode controller؛ chaos؛ Takagi--Sugeno (T-S) fuzzy model؛ boundary layer variable؛ chattering | ||
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آمار تعداد مشاهده مقاله: 717 تعداد دریافت فایل اصل مقاله: 785 |
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