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<p>This paper investigates the problem of dissipative stability for T-S fuzzy systems (TSFSs) with stochastic packet dropouts using a memory sampled-data controller (MSDC) and an aperiodic sampled-data (ASD) approach. The memory sampled-data controller includes the current and historical information regarding system states and packet dropouts. The aim is to design the memory sampled-data controller such that the TSFSs are globally asymptotically stable with a (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12555_2024_273_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="61" /> </InlineMediaObject> <EquationSource Format="TEX">\(\cal{Q},\cal{S},\cal{R}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mrow> <mi mathvariant="script">Q</mi> </mrow> <mo>,</mo> <mrow> <mi mathvariant="script">S</mi> </mrow> <mo>,</mo> <mrow> <mi mathvariant="script">R</mi> </mrow> </math></EquationSource> </InlineEquation>)-<i>γ</i>-dissipative performance index (DPI). To accomplish this, by fully considering the delay and sampling information, some modified looped-functionals are proposed for the stability of the T-S fuzzy systems. In addition, the proposed Lyapunov-Krasovskii function (LKF) contains more state information than the existing Lyapunov function. Then, the obtained constraints may be further relaxed. Based on the functional and integral inequality, less conservative stability criteria are derived to design the controller. Finally, an illustrative example of a truck-trailer system is presented to demonstrate the practicality and effectiveness of proposed method.</p>

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Dissipativity Analysis for T-S Fuzzy Systems With Stochastic Packet Dropout Based on Memory Sampled-data Control

  • 期刊论文

  • 发表日期：

    2025年1月13日

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  • Wei Feng,
  • Rui Sun,
  • Yajuan Liu,
  • Chao Ge

摘要

This paper investigates the problem of dissipative stability for T-S fuzzy systems (TSFSs) with stochastic packet dropouts using a memory sampled-data controller (MSDC) and an aperiodic sampled-data (ASD) approach. The memory sampled-data controller includes the current and historical information regarding system states and packet dropouts. The aim is to design the memory sampled-data controller such that the TSFSs are globally asymptotically stable with a ( \(\cal{Q},\cal{S},\cal{R}\) Q , S , R )-γ-dissipative performance index (DPI). To accomplish this, by fully considering the delay and sampling information, some modified looped-functionals are proposed for the stability of the T-S fuzzy systems. In addition, the proposed Lyapunov-Krasovskii function (LKF) contains more state information than the existing Lyapunov function. Then, the obtained constraints may be further relaxed. Based on the functional and integral inequality, less conservative stability criteria are derived to design the controller. Finally, an illustrative example of a truck-trailer system is presented to demonstrate the practicality and effectiveness of proposed method.