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<p>In this paper, the dissipative stability of nonlinear networked control systems with dynamic quantization and output constraints is investigated, where the system is modeled using a Takagi-Sugeno (T-S) fuzzy framework. A sampled-data fuzzy-switching controller is constructed to guarantee the asymptotically stable of the T-S fuzzy system with output constraints, while accounting for the effects of dynamic quantization and satisfying the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\((\mathcal {Q}, \mathcal {S}, \mathcal {R})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi mathvariant="script">Q</mi> <mo>,</mo> <mi mathvariant="script">S</mi> <mo>,</mo> <mi mathvariant="script">R</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\gamma \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation>-dissipativity performance criterion. To optimize network bandwidth utilization, a dynamic quantization mechanism, related to the fuzzy-switching rule, is developed to quantize system state signals within the feedback channel. Accordingly, a Lyapunov-Krasovskii functional dependent on the membership functions is constructed to verify the dissipative stability of the system via linear matrix inequalities, and sufficient conditions for the control gain design are derived. The results developed in this paper are applied to the controller design for the underwater vehicle system to demonstrate the effectiveness and advantages of the proposed method.</p>

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Dissipative sampled-data fuzzy-switching control for nonlinear NCSs with dynamic quantization and output constraints: application to underwater vehicles

  • 期刊论文

  • 发表日期：

    2026年2月9日

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  • Zongyu Zhang,
  • Weiquan Huang,
  • Chao Ge

摘要

In this paper, the dissipative stability of nonlinear networked control systems with dynamic quantization and output constraints is investigated, where the system is modeled using a Takagi-Sugeno (T-S) fuzzy framework. A sampled-data fuzzy-switching controller is constructed to guarantee the asymptotically stable of the T-S fuzzy system with output constraints, while accounting for the effects of dynamic quantization and satisfying the \((\mathcal {Q}, \mathcal {S}, \mathcal {R})\) ( Q , S , R ) - \(\gamma \) γ -dissipativity performance criterion. To optimize network bandwidth utilization, a dynamic quantization mechanism, related to the fuzzy-switching rule, is developed to quantize system state signals within the feedback channel. Accordingly, a Lyapunov-Krasovskii functional dependent on the membership functions is constructed to verify the dissipative stability of the system via linear matrix inequalities, and sufficient conditions for the control gain design are derived. The results developed in this paper are applied to the controller design for the underwater vehicle system to demonstrate the effectiveness and advantages of the proposed method.