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<p>This work addresses the interval type-2 T-S fuzzy singular systems with non-identical input matrices under external disturbances. A disturbance observer is constructed to estimate and counteract the perturbations in real time. Based on the observed disturbance, an integral sliding surface is designed, and sufficient conditions are derived to ensure both the admissibility of sliding mode dynamics (SMD) and <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(H_{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> performance through linear matrix inequality techniques. Subsequently, a sliding mode controller is synthesized to drive the system states onto the sliding manifold in finite time, with rigorous analysis provided for reachability. A numerical simulation demonstrates that the proposed method not only effectively attenuates disturbances but also achieves superior stabilization performance, validating its theoretical advancements.</p>

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Disturbance-Observer-Based SMC for Interval Type-2 T-S Fuzzy Singular Systems

  • 期刊论文

  • 发表日期：

    2026年4月30日

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  • Yang Yang,
  • Zhiguang Feng,
  • Linlin Zhao,
  • Chao Guo

摘要

This work addresses the interval type-2 T-S fuzzy singular systems with non-identical input matrices under external disturbances. A disturbance observer is constructed to estimate and counteract the perturbations in real time. Based on the observed disturbance, an integral sliding surface is designed, and sufficient conditions are derived to ensure both the admissibility of sliding mode dynamics (SMD) and \(H_{\infty }\) H ∞ performance through linear matrix inequality techniques. Subsequently, a sliding mode controller is synthesized to drive the system states onto the sliding manifold in finite time, with rigorous analysis provided for reachability. A numerical simulation demonstrates that the proposed method not only effectively attenuates disturbances but also achieves superior stabilization performance, validating its theoretical advancements.