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H∞ observer design for uncertain one-sided Lipschitz nonlinear systems with time-varying delay

Author

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  • Yang, Yawei
  • Lin, Chong
  • Chen, Bing
  • Zhao, Xin

Abstract

The H∞ observer design for uncertain one-sided Lipschitz nonlinear systems with time-varying delay is investigated in this paper. By considering the quadratic inner-bounded requirement and the one-sided Lipschitz condition concurrently and employing a class of relaxed integral inequalities, the H∞ observer for nominal Lipschitz systems is designed firstly. Then, the results are extended to the one-sided Lipschitz systems with norm-bounded uncertainties. Finally, the proposed results are demonstrated via two simulation examples.

Suggested Citation

  • Yang, Yawei & Lin, Chong & Chen, Bing & Zhao, Xin, 2020. "H∞ observer design for uncertain one-sided Lipschitz nonlinear systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 375(C).
    • Handle: RePEc:eee:apmaco:v:375:y:2020:i:c:s0096300320300357
    DOI: 10.1016/j.amc.2020.125066
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    References listed on IDEAS

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    1. Xing, Mengping & Xia, Jianwei & Wang, Jing & Meng, Bo & Shen, Hao, 2019. "Asynchronous H∞ filtering for nonlinear persistent dwell-time switched singular systems with measurement quantization," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    2. Zhao, Nan-Nan & Wu, Li-Bing & Ouyang, Xin-Yu & Yan, Yan & Zhang, Rui-Yan, 2019. "Finite-time adaptive fuzzy tracking control for nonlinear systems with disturbances and dead-zone nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    3. Yang, Yuxia & Lin, Chong & Chen, Bing & Wang, Qing-Guo, 2018. "Reduced-order observer design for a class of generalized Lipschitz nonlinear systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 267-280.
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