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A novel design approach to state and fault estimation for interconnected systems using distributed observer

Author

Listed:
  • Mu, Yunfei
  • Zhang, Huaguang
  • Yan, Yuqing
  • Wang, Yingchun

Abstract

This paper is devoted to the state and fault estimation design for continuous-time interconnected systems. By utilizing the associated information among subsystems, a novel unknown input method-based distributed observer synthesis scheme is presented to reconstruct system states and faults simultaneously. It is worth pointing out that our method has much broader applications, since the faults studied in each subsystem do not have to satisfy some constraints made in previous results such as having a known bound or the first derivative being equal to zero. By resorting to the Lyapunov theory and matrix transformation technique, some brand-new conditions are proposed to guarantee the stability of local error systems, by which observer gains can be solved in terms of linear matrix inequalities (LMIs). Particularly, all the conditions are expressed in the original system matrices rather than augmented matrices framework. Thus, computational complexity is reduced compared to previous related researches. At last, simulation experiments are shown to verify the validity of our distributed state and fault estimation scheme.

Suggested Citation

  • Mu, Yunfei & Zhang, Huaguang & Yan, Yuqing & Wang, Yingchun, 2023. "A novel design approach to state and fault estimation for interconnected systems using distributed observer," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    • Handle: RePEc:eee:apmaco:v:449:y:2023:i:c:s0096300323001352
    DOI: 10.1016/j.amc.2023.127966
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    References listed on IDEAS

    as
    1. Zhu, Baopeng & Wang, Yingchun & Zhang, Huaguang & Xie, Xiangpeng, 2021. "Distributed finite-time fault estimation and fault-tolerant control for cyber-physical systems with matched uncertainties," Applied Mathematics and Computation, Elsevier, vol. 403(C).
    2. Lun Chan, Joseph Chang & Lee, Tae H., 2022. "Observer-based fault-tolerant control for non-infinitely observable descriptor systems with unknown time-varying state and input delays," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    3. Cui, Lili & Xie, Xiangpeng & Guo, Hongyan & Luo, Yanhong, 2022. "Dynamic event-triggered distributed guaranteed cost FTC scheme for nonlinear interconnected systems via ADP approach," Applied Mathematics and Computation, Elsevier, vol. 425(C).
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