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Global finite-time stabilisation for a class of nonlinear systems in the p-normal form via output feedback

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  • Xuhuan Wang
  • Zhengrong Xiang

Abstract

In this paper, a finite-time output feedback control scheme is presented for a class of nonlinear systems in the p-normal form. The nonlinear functions in the systems are assumed to be bounded by both low-order and high-order nonlinearities multiplied by a polynomial-type output-dependent growth rate, which are able to cover a more general ones. A reduced-order observer is constructed to estimate unmeasurable states, and a finite-time output feedback controller is proposed for the considered system by constructing a new Lyapunov function and using the adding a power integration technique. Two simulation examples are given to verify the effectiveness of the proposed scheme.

Suggested Citation

  • Xuhuan Wang & Zhengrong Xiang, 2020. "Global finite-time stabilisation for a class of nonlinear systems in the p-normal form via output feedback," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(9), pages 1604-1621, July.
  • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:9:p:1604-1621
    DOI: 10.1080/00207721.2020.1772398
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    Cited by:

    1. Dou, Wenhui & Ding, Shihong & Chen, Xiangyong, 2022. "Practical adaptive finite-time stabilization for a class of second-order systems," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    2. Cui, Di & Zou, Wencheng & Guo, Jian & Xiang, Zhengrong, 2022. "Neural network-based adaptive finite-time tracking control of switched nonlinear systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    3. Jia, Jinping & Dai, Hao & Zhang, Fandi & Huang, Jianwen, 2022. "Global stabilization of low-order stochastic nonlinear systems with multiple time-varying delays by a continuous feedback control," Applied Mathematics and Computation, Elsevier, vol. 429(C).

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