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Sliding mode control of a class of uncertain nonlinear fractional order time-varying delayed systems based on Razumikhin approach | ||
Computational Methods for Differential Equations | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 17 آذر 1400 اصل مقاله (735.96 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22034/cmde.2021.46019.1928 | ||
نویسندگان | ||
Mohammad Ghamgosar؛ Seyed Mehdi Mirhosseini-Alizamini ![]() | ||
Department of Mathematics, Payame Noor University (PNU), Tehran, Iran. | ||
چکیده | ||
Within the current paper, we design a sliding-based control law to stabilize a set of systems that are nonlinear, having fractional order, and involve delay, perturba- tion, and uncertainty. A control law based sliding mode is considered in such a way that the variables of the closed loop system reach sliding surface in a limited time and stay on it for later times. Then, using the Razomokhin stability theorem, the stability of the systems is proved and at the end, a calculation is found to search for useful methods. | ||
کلیدواژهها | ||
Delay Systems؛ Fractional order systems؛ Sliding mode control؛ Norm- bound perturbation | ||
آمار تعداد مشاهده مقاله: 86 تعداد دریافت فایل اصل مقاله: 72 |