Observer-based control for nonlinear neutral type stochastic model with fractional Gaussian noise and input saturation

S. Sweetha, V. Panneerselvam, N. Tatar, R. Sakthivel*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

This paper discusses the stabilization issue for a class of nonlinear neutral-type stochastic systems subject to time-varying delays, linear fractional uncertainties, actuator faults, input saturation and fractional stochastic noise. Primarily, the derivation analysis for the stability and stabilization for the addressed systems is carried out by adopting a fractional infinitesimal operator. A fault-tolerant controller under saturation effect will be designed in order to guarantee the stabilization of the considered systems. Further, a set of stability criteria is obtained with the help of the fractional infinitesimal operator and by choosing a suitable Lyapunov-Krasovskii functional. These stability criteria are derived in the form of linear matrix inequalities that are solved by the MATLAB LMI toolbox. Finally, simulation results are provided to illustrate the effectiveness of our findings through a numerical example.

Original languageEnglish
Article number113070
JournalChaos, Solitons and Fractals
Volume167
DOIs
StatePublished - Feb 2023

Bibliographical note

Publisher Copyright:
© 2022 Elsevier Ltd

Keywords

  • Actuator fault
  • Fractional Brownian motion
  • Input saturation
  • Linear fractional uncertainty
  • Nonlinear neutral system
  • Observer-based controller

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • General Mathematics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics

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