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Improvement of sampled-data-based stabilization and dissipativity conditions for T–S fuzzy systems under network communication environment

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  • Nguyen, Khanh Hieu
  • Kim, Sung Hyun

Abstract

This paper aims to develop an improved sampled-data controller for T–S fuzzy systems in the presence of external disturbances and network-induced delays. To take more advantage of information about system state responses excited during sampling and data transmission, this paper introduces novel time integrals of the weighted derivative of the system state and they are utilized to construct an improved looped functional. Additionally, a refined discontinuous function is incorporated into the Lyapunov–Krasovskii functional, and three additional zero-equalities are incorporated into the stabilization conditions to enhance the relationship between the time integrals and other components of the augmented state. Moreover, this paper devises a less conservative relaxation technique that can numerically solve the dissipativity-based stabilization conditions dependent on affine-matched fuzzy-basis functions by exploiting their strict constraints. Finally, two examples are presented to illustrate the validity and applicability of the proposed approach.

Suggested Citation

  • Nguyen, Khanh Hieu & Kim, Sung Hyun, 2024. "Improvement of sampled-data-based stabilization and dissipativity conditions for T–S fuzzy systems under network communication environment," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    • Handle: RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012833
    DOI: 10.1016/j.chaos.2023.114381
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    References listed on IDEAS

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    1. Nguyen, Khanh Hieu & Kim, Sung Hyun, 2024. "Improved stability and stabilization criteria of sampled-data control systems based on an enhanced looped-functional," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 69-81.
    2. Saravanakumar, Ramasamy & Datta, Rupak & Cao, Yang, 2022. "New insights on fuzzy sampled-data stabilization of delayed nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    3. Duan, Dongli & Bai, Xue & Rong, Yisheng & Hou, Gege & Hang, Jiale, 2022. "Controlling of nonlinear dynamical networks based on decoupling and re-coupling method," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    4. Huan, Mingchen & Li, Chuandong, 2023. "Synchronization of reaction–diffusion neural networks with sampled-data control via a new two-sided looped-functional," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
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