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Output-feedback finite-time stabilization of a class of constrained planar systems

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  • Mei, Keqi
  • Ding, Shihong

Abstract

This work has addressed the output-feedback finite-time stabilization issue for a type of asymmetric output-constrained planar systems. The innovation involved in the results of the work owes to the construction of a barrier Lyapunov function (BLF) to the handling of the asymmetric output constraint. By incorporated the BLF into the backstepping-like technique, a state feedback controller is first developed. An implementable observer is subsequently designed to estimate the unmeasurable system state. Lastly, an observer-based finite-time output feedback controller is explicitly proposed. Theoretically, the Lyapunov stability theory is adopted to show that the system states are finite-time stabilized under the presented control scheme. Meanwhile, the violation of a pre-established asymmetric output constraint is circumvented. To testify the derived theoretical results, the case studies of a permanent magnet linear motor system are offered.

Suggested Citation

  • Mei, Keqi & Ding, Shihong, 2022. "Output-feedback finite-time stabilization of a class of constrained planar systems," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    • Handle: RePEc:eee:apmaco:v:412:y:2022:i:c:s0096300321006573
    DOI: 10.1016/j.amc.2021.126573
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    References listed on IDEAS

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    1. Fang, Liandi & Ma, Li & Ding, Shihong & Zhao, Dean, 2019. "Finite-time stabilization for a class of high-order stochastic nonlinear systems with an output constraint," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 63-79.
    2. Lin, Xiangze & Zhang, Wanli & Huang, Shuaiting & Zheng, Enlai, 2020. "Finite-time stabilization of input-delay switched systems," Applied Mathematics and Computation, Elsevier, vol. 375(C).
    3. Yan Jiang & Junyong Zhai, 2020. "Global output feedback control for a class of high-order switched nonlinear systems with time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(6), pages 1053-1065, April.
    4. Mei, Keqi & Ma, Li & He, Runxin & Ding, Shihong, 2020. "Finite-time controller design of multiple integrator nonlinear systems with input saturation," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    5. Ding, Chen & Ma, Li & Ding, Shihong, 2021. "Second-order sliding mode controller design with mismatched term and time-varying output constraint," Applied Mathematics and Computation, Elsevier, vol. 407(C).
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    Cited by:

    1. Wang, Sixin & Mei, Jun & Xia, Dan & Yang, Zhanying & Hu, Junhao, 2022. "Finite-time optimal feedback control mechanism for knowledge transmission in complex networks via model predictive control," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Alejandro Rincón & Fredy E. Hoyos & John E. Candelo-Becerra, 2022. "An Output Feedback Controller for a Second-Order System Subject to Asymmetric Output Constraint Based on Lyapunov Function with Unlimited Domain," Mathematics, MDPI, vol. 10(11), pages 1-20, May.

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