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Reduced-order observer design for a class of generalized Lipschitz nonlinear systems with time-varying delay

Author

Listed:
  • Yang, Yuxia
  • Lin, Chong
  • Chen, Bing
  • Wang, Qing-Guo

Abstract

This paper investigates the H∞ reduced-order observer design problem for a class of nonlinear systems with interval time-varying delay which satisfies the quadratically inner-bounded condition and encompasses the family of Lipschitz systems. A novel reduced-order observer design methodology for nonlinear systems is proposed. By utilizing a newly extended reciprocal convexity inequality, free-weighting matrix technique, and quadratically inner-bounded condition, the less conservative existence conditions of the proposed nonlinear H∞ observer are derived. The new sufficient conditions in terms of linear matrix inequalities (LMIs) guarantee asymptotic stability of the estimation error dynamics with a prescribed performance γ. Two numerical examples are given to illustrate the effectiveness of the proposed approach.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:337:y:2018:i:c:p:267-280
    DOI: 10.1016/j.amc.2018.05.011
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    References listed on IDEAS

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    1. Nguyen, Minh Cuong & Trinh, Hieu, 2016. "Unknown input observer design for one-sided Lipschitz discrete-time systems subject to time-delay," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 57-71.
    2. Reza Mohajerpoor & Lakshmanan Shanmugam & Hamid Abdi & Saeid Nahavandi & Mehdrad Saif, 2017. "Functional observer design for retarded system with interval time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(5), pages 1060-1070, April.
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    Cited by:

    1. Wang, Jiqiang, 2019. "Disturbance attenuation of complex dynamical systems through interaction topology design," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 576-584.
    2. Pan, Yingnan & Yang, Guang-Hong, 2019. "Event-based output tracking control for fuzzy networked control systems with network-induced delays," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 513-530.
    3. Cao, Yang & Sriraman, R. & Samidurai, R., 2020. "Stability and stabilization analysis of nonlinear time-delay systems with randomly occurring controller gain fluctuation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 36-51.
    4. Pan, Yingnan & Yang, Guang-Hong, 2019. "Event-based reduced-order fuzzy filtering for networked control systems with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 71-83.
    5. Hussain, Muntazir & Rehan, Muhammad & Ahmed, Shakeel & Abbas, Tanveer & Tufail, Muhammad, 2020. "A novel approach for static anti-windup compensation of one-sided Lipschitz systems under input saturation," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    6. de Oliveira, Fúlvia S.S. & Souza, Fernando O., 2020. "Further refinements in stability conditions for time-varying delay systems," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    7. 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).

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