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<p>In this paper, finite-time <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({\mathcal{H}}_{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="script">H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> control is studied for discrete-time Takagi–Sugeno (T–S) fuzzy systems. A dynamic model-based event-triggered mechanism (DMBETM) is utilized to monitor the data transmission from the plant to the controller, which reduces the amount of transmitted data more efficiently than conventional static mechanisms. First, it is demonstrated that the adopted DMBETM can avoid Zeno behavior and yield a larger minimal inter-execution time compared to the static model-based mechanism. Subsequently, an enhanced finite-time <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({\mathcal{H}}_{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="script">H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> performance criterion is proposed, by employing a new Lyapunov-like function that incorporates an internal dynamic variable. Finally, the finite-time <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\({\mathcal{H}}_{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="script">H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> control of the closed-loop system is being investigated for a DC–DC boost converter.</p>

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Finite-time model-based event-triggered \({\mathcal{H}}_{\infty }\) control for fuzzy T–S system

  • 期刊论文

  • 发表日期：

    2025年3月16日

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  • Davood Nazari Maryam Abadi,
  • Ali Moarefianpour,
  • Nima Mahdian Dehkordi

摘要

In this paper, finite-time \({\mathcal{H}}_{\infty }\) H ∞ control is studied for discrete-time Takagi–Sugeno (T–S) fuzzy systems. A dynamic model-based event-triggered mechanism (DMBETM) is utilized to monitor the data transmission from the plant to the controller, which reduces the amount of transmitted data more efficiently than conventional static mechanisms. First, it is demonstrated that the adopted DMBETM can avoid Zeno behavior and yield a larger minimal inter-execution time compared to the static model-based mechanism. Subsequently, an enhanced finite-time \({\mathcal{H}}_{\infty }\) H ∞ performance criterion is proposed, by employing a new Lyapunov-like function that incorporates an internal dynamic variable. Finally, the finite-time \({\mathcal{H}}_{\infty }\) H ∞ control of the closed-loop system is being investigated for a DC–DC boost converter.