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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. 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).
    2. Wang, Jiqiang, 2019. "Disturbance attenuation of complex dynamical systems through interaction topology design," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 576-584.
    3. 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.
    4. 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.
    5. 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).
    6. 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.
    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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