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Feedback stabilisation of time-delay nonlinear systems with continuous time-varying output function

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  • Zong-Yao Sun
  • Di Zhang
  • Qinghua Meng
  • Chih-Chiang Chen

Abstract

This paper investigates the problem of global output feedback stabilisation for a class of uncertain nonlinear systems, where output function is time-varying and continuous, and multiple time delays exist in system state at the same time. A double-domination method is used to capture time-varying measurement error and delayed states. The control strategy is presented based on the choice of Lyapunov–Krasovskii functionals and the construction of a novel state observer without using the information on the output function and nonlinearities. A simulation example is given to show the efficiency of the proposed control scheme.

Suggested Citation

  • Zong-Yao Sun & Di Zhang & Qinghua Meng & Chih-Chiang Chen, 2019. "Feedback stabilisation of time-delay nonlinear systems with continuous time-varying output function," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(2), pages 244-255, January.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:244-255
    DOI: 10.1080/00207721.2018.1543472
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    Cited by:

    1. Jianping Yuan & Jin Li & Zhihui Dong & Qinglong Chen & Hanbing Sun, 2022. "A Method of Reducing Invalid Steering for AUVs Based on a Wave Peak Frequency Tracker," Sustainability, MDPI, vol. 14(22), pages 1-14, November.

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