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Global output feedback control of feedforward nonlinear time-delay systems with unknown growth rate and unknown measurement sensitivity

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Abstract

This paper discusses the problem of global state regulation via output feedback for a class of feedforward nonlinear time-delay systems with unknown measurement sensitivity. Different from previous works, the nonlinear terms are dominated by upper triangular linear unmeasured (delayed) states multiplied by unknown growth rate. The unknown growth rate is composed of an unknown constant, a power function of output, and an input function. Furthermore, due to the measurement uncertainty of the system output, it is more difficult to solve this problem. It is proved that the presented output feedback controller can globally regulate all states of the nonlinear systems using the dynamic gain scaling technique and choosing the appropriate Lyapunov–Krasovskii functionals.

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The data presented in this study are available on request from the corresponding author.

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Authors and Affiliations

  1. Academy of Artificial Intelligence, Beijing Institute of Petrochemical Technology, Beijing, 102617, China

    Weiyong Yu, Keao Gao & Qiang Liu

  2. School of Mathematics and Statistics, Nanyang Normal University, Nanyang, 473061, Henan, China

    Hongbing Zhou

Authors
  1. Weiyong Yu
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  2. Keao Gao
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  3. Hongbing Zhou
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  4. Qiang Liu
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Corresponding author

Correspondence to Hongbing Zhou.

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The authors declare that they have no conflict of interest.

Additional information

This work was supported by the fund of Beijing Municipal Commission of Education (Nos. 22019821001 and KM202210017001), and the Natural Science Foundation of Henan Province (No. 222300420253).

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Yu, W., Gao, K., Zhou, H. et al. Global output feedback control of feedforward nonlinear time-delay systems with unknown growth rate and unknown measurement sensitivity. Control Theory Technol. 22, 122–134 (2024). https://doi.org/10.1007/s11768-023-00180-9

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  • DOI: https://doi.org/10.1007/s11768-023-00180-9

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