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Global asymptotic stabilization via sampled-data control for a class of time-delayed systems

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Listed:
  • Wang, Xin
  • Ding, Shihong
  • Ma, Li
  • Mei, Keqi

Abstract

This article addresses the issue of global asymptotic stabilization (GAS) for a group of linearly uncontrollable and unobservable time-delayed systems with uncertain control gains. As a result of the use of a nonsingular transformation and time rescaling, the group of nonlinear integrators with large delays are transformed into nonlinear integrators with small delays. Then, after applying both the homogeneous domination method and Lyapunov-Krasovskii (L-K) functionals, and revamping the adding a power integrator, we construct L-K functionals and a homogeneous non-smooth sampled-data controller, achieving GAS of the considered uncontrollable and unobservable time-delayed systems. Finally, an example is given to verify the efficiency of the proposed method.

Suggested Citation

  • Wang, Xin & Ding, Shihong & Ma, Li & Mei, Keqi, 2025. "Global asymptotic stabilization via sampled-data control for a class of time-delayed systems," Applied Mathematics and Computation, Elsevier, vol. 490(C).
    • Handle: RePEc:eee:apmaco:v:490:y:2025:i:c:s0096300324006507
    DOI: 10.1016/j.amc.2024.129189
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    References listed on IDEAS

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    2. Wang, Zhihui & Zhai, Junyong & Ai, Weiqing & Fei, Shumin, 2015. "Global practical tracking for a class of uncertain nonlinear systems via sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 257-268.
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    4. Nguyen, Khanh Hieu & Kim, Sung Hyun, 2022. "Improved sampled-data control design of T-S fuzzy systems against mismatched fuzzy-basis functions," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    5. Zeng, Hong-Bing & Zhai, Zheng-Liang & He, Yong & Teo, Kok-Lay & Wang, Wei, 2020. "New insights on stability of sampled-data systems with time-delay," Applied Mathematics and Computation, Elsevier, vol. 374(C).
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