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<p>This paper addresses the positive sampled-data observer-based output-feedback control problem for Takagi–Sugeno fuzzy models with uncertainties. Leveraging an aperiodic sampling framework driven by event-triggering mechanisms, we propose a sampled-data design technique aimed at achieving positive <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42835_2025_2249_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal{L}_{2}\)</EquationSource> </InlineEquation>–<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42835_2025_2249_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal{L}_{\infty}\)</EquationSource> </InlineEquation> disturbance attenuation. A distinctive fuzzy OBOF controller is separately designed to enhance closed-loop positivity. This study investigates the Zeno-free behavior of the designed controller. A numerical example demonstrates the effectiveness of our proposed methodology.</p>

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Event-Triggered Sampled-data Disturbance Attenuation for Uncertain Fuzzy Systems: Positivity and Separation Principle

  • 期刊论文

  • 发表日期：

    2025年4月15日

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  • Ho Jae Lee

摘要

This paper addresses the positive sampled-data observer-based output-feedback control problem for Takagi–Sugeno fuzzy models with uncertainties. Leveraging an aperiodic sampling framework driven by event-triggering mechanisms, we propose a sampled-data design technique aimed at achieving positive \(\mathcal{L}_{2}\) – \(\mathcal{L}_{\infty}\) disturbance attenuation. A distinctive fuzzy OBOF controller is separately designed to enhance closed-loop positivity. This study investigates the Zeno-free behavior of the designed controller. A numerical example demonstrates the effectiveness of our proposed methodology.