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Functional interval observer for discrete-time systems with disturbances

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  • Che, Haochi
  • Huang, Jun
  • Zhao, Xudong
  • Ma, Xiang
  • Xu, Ning

Abstract

This paper further investigates the design problem of the functional interval observer for discrete-time systems with disturbances. Two methods are given to design functional interval observers. Given monotone system theory, a Luenberger-like functional interval observer is constructed and sufficient conditions are achieved by Sylvester equations in the first method. The second approach is known as the two-step method. An H∞ functional observer of the system is presented by the H∞ technique, and then the approach of the zonotope is used to estimate its upper and lower boundaries to improve the estimation accuracy. The above methods are applied to two examples for comparison and to show the correctness.

Suggested Citation

  • Che, Haochi & Huang, Jun & Zhao, Xudong & Ma, Xiang & Xu, Ning, 2020. "Functional interval observer for discrete-time systems with disturbances," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    • Handle: RePEc:eee:apmaco:v:383:y:2020:i:c:s0096300320303167
    DOI: 10.1016/j.amc.2020.125352
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    References listed on IDEAS

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    1. Chan, Joseph Chang Lun & Tan, Chee Pin & Trinh, Hieu & Kamal, Md Abdus Samad & Chiew, Yeong Shiong, 2019. "Robust fault reconstruction for a class of non-infinitely observable descriptor systems using two sliding mode observers in cascade," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 78-92.
    2. Zhou, Jianping & Park, Ju H. & Ma, Qian, 2016. "Non-fragile observer-based H∞ control for stochastic time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 69-83.
    3. M. C. Nguyen & H. Trinh & P. T. Nam, 2016. "Linear functional observers with guaranteed ε-convergence for discrete time-delay systems with input/output disturbances," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(13), pages 3193-3205, October.
    4. Li, Rongchang & Zhang, Qingling, 2018. "Robust H∞ sliding mode observer design for a class of Takagi–Sugeno fuzzy descriptor systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 158-178.
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    Cited by:

    1. Wang, Ziyun & Wang, Xianzhe & Wang, Yan, 2024. "Orthotope-search-expansion-based extended zonotopic Kalman filter design for a discrete-time linear parameter-varying system with a dual-noise term," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    2. Zhang, Tu & Li, Liwei & Shen, Mouquan, 2021. "Interval observer-based finite-time control for linear parameter-varying systems," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    3. Hoang Vu Dao & Manh Hung Nguyen & Kyoung Kwan Ahn, 2023. "Nonlinear Functional Observer Design for Robot Manipulators," Mathematics, MDPI, vol. 11(19), pages 1-16, September.
    4. Li, Xin & Wei, Guoliang & Ding, Derui, 2021. "Distributed resilient interval estimation for sensor networks under aperiodic denial-of-service attacks and adaptive event-triggered protocols," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    5. Xie, Jiyang & Zhu, Shuqian & Zhang, Dawei, 2022. "A robust distributed secure interval observation approach for uncertain discrete-time positive systems under deception attacks," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    6. Huang, Jun & Yang, Lin & Trinh, Hieu, 2021. "Robust control for incremental quadratic constrained nonlinear time-delay systems subject to actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 405(C).

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