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Unknown input observer design for fuzzy systems with uncertainties

Author

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  • Du, Xiao-Kun
  • Zhao, Hui
  • Chang, Xiao-Heng

Abstract

This paper investigates the problem of unknown input observer design for both discrete and continuous-time T–S fuzzy systems with uncertainties. After doing appropriate processing to the model and reasonable analysis to the error expression of the system, the observer design conditions are proposed in LMI form based on Lyapunov theory. More important is the introduction of a new decoupling method which can further reduce the conservatism. The idea can eliminate the influence of the unknown inputs, and guarantee the error of the state estimation is bounded when the uncertainties are nonzero. Finally, an appropriate example is given to show the effectiveness of the algorithm, especially the excellent estimate ability of the observer in initial time.

Suggested Citation

  • Du, Xiao-Kun & Zhao, Hui & Chang, Xiao-Heng, 2015. "Unknown input observer design for fuzzy systems with uncertainties," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 108-118.
    • Handle: RePEc:eee:apmaco:v:266:y:2015:i:c:p:108-118
    DOI: 10.1016/j.amc.2015.05.046
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    Cited by:

    1. Vijayakumar, M. & Sakthivel, R. & Mohammadzadeh, Ardashir & Karthick, S.A. & Marshal Anthoni, S., 2021. "Proportional integral observer based tracking control design for Markov jump systems," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    2. Chang, Xiao-Heng & Xiong, Jun & Park, Ju H., 2016. "Fuzzy robust dynamic output feedback control of nonlinear systems with linear fractional parametric uncertainties," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 213-225.
    3. Yin, Xiang & She, Jinhua & Wu, Min & Sato, Daiki & Ohnishi, Kouhei, 2022. "Disturbance rejection using SMC-based-equivalent-input-disturbance approach," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    4. Luo, Jinnan & Tian, Wenhong & Zhong, Shouming & Shi, Kaibo & Chen, Hao & Gu, Xian-Ming & Wang, Wenqin, 2017. "Non-fragile asynchronous H∞ control for uncertain stochastic memory systems with Bernoulli distribution," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 109-128.
    5. Zheng, Fuqi & Liu, Jian & Jiao, Ticao & Zhang, Cunshan & Zhao, Jianrong & Jiang, Jishun & Qi, Xiaomei, 2021. "Stability analysis and L1-gain characterization for uncertain Markovian hybrid switching positive systems," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    6. Dong, Jiuxiang & Hou, Junteng, 2017. "Output feedback fault-tolerant control by a set-theoretic description of T–S fuzzy systems," Applied Mathematics and Computation, Elsevier, vol. 301(C), pages 117-134.
    7. Sohaira Ahmad & Muhammad Rehan & Anas Ibrar & Muhammad Umair Ali & Amad Zafar & Seong Han Kim, 2024. "Novel Robust Estimation-Based Control of One-Sided Lipschitz Nonlinear Systems Subject to Output and Input Delays," Mathematics, MDPI, vol. 12(9), pages 1-30, April.

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