Sliding mode control of a class of uncertain nonlinear fractional-order time-varying delayed systems based on Razumikhin approach

Author(s):

Mohammad Ghamgosar , Seyed Mehdi Mirhosseini-Alizamini * , Mahmood Dadkhah

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
Within the current paper, we design a sliding-based control law to stabilize a set of systems that are nonlinear, fractional order involve delay, perturbation, and uncertainty. A control law-based sliding mode is considered in such a way that the variables of the closed loop system reach the 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 in the end, a calculation is found to search for useful methods.
Keywords:

Delay Systems , Fractional order systems , sliding mode control , Norm-bound perturbation

Language:
English
Published:
Computational Methods for Differential Equations, Volume:10 Issue: 4, Autumn 2022
Pages:
860 to 875
https://www.magiran.com/p2491999  
سامانه نویسندگان
  • Mirhosseini Alizamini، Seyed Mehdi
    Corresponding Author (2)
    Mirhosseini Alizamini, Seyed Mehdi
    Associate Professor Department of Mathematics, Payame Noor University (PNU), Tehran, Iran, Payame Noor University, تهران, Iran
  • Dadkhah، Mahmood
    Author (3)
    Dadkhah, Mahmood
    Assistant Professor Mathematics, Payame Noor University, تهران, Iran
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