Mathematics (Oct 2023)

Design of Polynomial Observer-Based Control of Fractional-Order Power Systems

  • Hamdi Gassara,
  • Imen Iben Ammar,
  • Abdellatif Ben Makhlouf,
  • Lassaad Mchiri,
  • Mohamed Rhaima

DOI
https://doi.org/10.3390/math11214450
Journal volume & issue
Vol. 11, no. 21
p. 4450

Abstract

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This research addresses the problem of globally stabilizing a distinct category of fractional-order power systems (F-OP) by employing an observer-based methodology. To address the inherent nonlinearity in these systems, we leverage a Takagi–Sugeno (TS) fuzzy model. The practical stability of the proposed system is systematically established through the application of a sum-of-squares (SOS) approach. To demonstrate the robustness and effectiveness of our approach, we conduct simulations of the power system using SOSTOOLS v3.00. Our study contributes to advancing the understanding of F-OP and provides a practical framework for their global stabilization.

Keywords