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<p>This paper addresses the predefined-time adaptive fuzzy control problem for non-strict feedback nonlinear systems (NSFNS) with input quantization. First, a novel inverse hyperbolic sine state observer was designed based on fuzzy logic to estimate unmeasurable states. Second, owing to the non-smooth and non-differentiable nature of the quantized output signal, a predefined-time differentiator method was proposed to concurrently handle these issues and reduce control signal fluctuations. Theoretical analysis demonstrates that the observer-based output feedback closed-loop system achieves practical predefined-time stability (PPTS): all signals are bounded, and the tracking error converges to a neighborhood of zero within the desired settling time <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({T_C}\)</EquationSource> </InlineEquation>, with the observation error suppressed to a negligible bounded region simultaneously. Finally, a simulation example verifies the effectiveness of the proposed scheme.</p>

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Practical predefined-time adaptive fuzzy control for quantized nonlinear systems via observer-differentiator scheme

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月2日

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  • Yuanqing Wang,
  • Juan Chen,
  • Wenyao Ma

摘要

This paper addresses the predefined-time adaptive fuzzy control problem for non-strict feedback nonlinear systems (NSFNS) with input quantization. First, a novel inverse hyperbolic sine state observer was designed based on fuzzy logic to estimate unmeasurable states. Second, owing to the non-smooth and non-differentiable nature of the quantized output signal, a predefined-time differentiator method was proposed to concurrently handle these issues and reduce control signal fluctuations. Theoretical analysis demonstrates that the observer-based output feedback closed-loop system achieves practical predefined-time stability (PPTS): all signals are bounded, and the tracking error converges to a neighborhood of zero within the desired settling time \({T_C}\) , with the observation error suppressed to a negligible bounded region simultaneously. Finally, a simulation example verifies the effectiveness of the proposed scheme.