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<p>This study investigates the stabilization of fractional-order nonlinear systems (FONSs) via a fuzzy observer-based sampled-data control strategy with an average-delayed impulsive mechanism. The Takagi–Sugeno (T–S) fuzzy model is employed to accurately represent the nonlinear dynamics, and novel stability conditions combining average dwell time (ADT) and average impulsive delay (AID) are derived. Using a Lyapunov-based analytical framework and less conservative linear matrix inequality (LMI) criteria, the proposed method ensures stabilization under time-delayed impulsive effects. An LMI-based design approach is developed for the fuzzy observer–based sampled-data controller with average-delayed impulsive inputs satisfying the AID condition, guaranteeing both system performance and stability. The effectiveness of the proposed strategy is validated through three engineering applications, demonstrating broad applicability. Simulation results confirm significant improvements in robustness and control performance compared with existing methods.</p>

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Fuzzy observer-based average-delayed impulsive control of fractional-order nonlinear systems using a sampling mechanism and its applications

  • 期刊论文

  • 发表日期：

    2026年3月16日

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  • G. Narayanan,
  • Sangtae Ahn,
  • Young Hoon Joo,
  • Yong Wang,
  • Jae Hoon Jeong

摘要

This study investigates the stabilization of fractional-order nonlinear systems (FONSs) via a fuzzy observer-based sampled-data control strategy with an average-delayed impulsive mechanism. The Takagi–Sugeno (T–S) fuzzy model is employed to accurately represent the nonlinear dynamics, and novel stability conditions combining average dwell time (ADT) and average impulsive delay (AID) are derived. Using a Lyapunov-based analytical framework and less conservative linear matrix inequality (LMI) criteria, the proposed method ensures stabilization under time-delayed impulsive effects. An LMI-based design approach is developed for the fuzzy observer–based sampled-data controller with average-delayed impulsive inputs satisfying the AID condition, guaranteeing both system performance and stability. The effectiveness of the proposed strategy is validated through three engineering applications, demonstrating broad applicability. Simulation results confirm significant improvements in robustness and control performance compared with existing methods.