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Robust Finite-Time Boundedness of Nonlinear General Conformable Systems With Time Delay via Takagi–Sugeno Fuzzy Models

Author

Listed:
  • Omar Kahouli
  • Hamed Ould Sidi
  • Saleh Albadran
  • Zied Elleuch
  • Abdellatif Ben Makhlouf

Abstract

This paper addresses the finite-time boundedness (F-TB) for a class of time-delay nonlinear systems subject to uncertainties and disturbances. The nonlinear system under consideration is initially represented as a general conformable Takagi–Sugeno fuzzy model (GCT-SFM) incorporating disturbances and modeling errors, which are expressed as norm-bounded uncertainties. The design of the controller to achieve the F-TB is performed through the parallel distributed compensation (PDC). Based on a novel Lyapunov–Krasovskii functional, sufficient conditions of the existence of the PDC controller are derived. These conditions are reformulated as linear matrix inequalities (LMIs), which can be efficiently solved using the LMI toolbox. Finally, a numerical example is provided to demonstrate the validity of the theoretical results.

Suggested Citation

  • Omar Kahouli & Hamed Ould Sidi & Saleh Albadran & Zied Elleuch & Abdellatif Ben Makhlouf, 2026. "Robust Finite-Time Boundedness of Nonlinear General Conformable Systems With Time Delay via Takagi–Sugeno Fuzzy Models," Journal of Mathematics, Hindawi, vol. 2026, pages 1-10, June.
    • Handle: RePEc:hin:jjmath:6654062
    DOI: 10.1155/jom/6654062
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