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

Document Type : Research Paper

Authors

Department of Mathematics, Payame Noor University (PNU), Tehran, Iran.

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

References

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Computational Methods for Differential Equations
Volume 10, Issue 4
October 2022
Pages 860-875

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History

  • Receive Date: 11 May 2021
  • Revise Date: 26 November 2021
  • Accept Date: 06 December 2021

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