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Fixed-Time Stabilization of High-Order Uncertain Nonlinear Systems: Output Feedback Control Design and Settling Time Analysis

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Abstract

This paper is devoted to stabilizing the high-order uncertain nonlinear system in a fixed time by output feedback control. First, a novel settling time solution method is proposed by establishing an indirect double system and using the comparison principle. Then a fixed-time observer and a neural networked based adaptive law are constructed to estimate the state and the unknown disturbance for the high-order uncertain nonlinear system. Furthermore, a fixed-time output feedback controller is proposed via the homogeneity technique. The upper bound of the settling time is analyzed for the closed-loop system under the proposed output feedback control. Finally, simulation examples are given to illustrate the effectiveness of the theoretical results.

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Authors and Affiliations

  1. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Chaoqun Guo & Jiangping Hu

  2. Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China, Huzhou, 313001, China

    Jiangping Hu

Authors
  1. Chaoqun Guo
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  2. Jiangping Hu
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Corresponding author

Correspondence to Jiangping Hu.

Ethics declarations

HU Jiangping is an editorial board member for Journal of Systems Science and Complexity and was not involved in the editorial review or the decision to publish this article. All authors declare that there are no competing interests.

Additional information

This research was supported partially by the National Natural Science Foundation of China under Grant Nos. 62103341, 61473061 and 71503206, and the Sichuan Science and Technology Program under Grant No. 2020YFSY0012.

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Guo, C., Hu, J. Fixed-Time Stabilization of High-Order Uncertain Nonlinear Systems: Output Feedback Control Design and Settling Time Analysis. J Syst Sci Complex 36, 1351–1372 (2023). https://doi.org/10.1007/s11424-023-2370-y

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  • DOI: https://doi.org/10.1007/s11424-023-2370-y

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