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A fixed-time observer for discrete-time singular systems with unknown inputs

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  • Zhang, Jiancheng
  • Chadli, Mohammed
  • Wang, Yan

Abstract

This paper is concerned with the fixed-time observer (FTO) design for discrete-time singular systems subject to unknown inputs. Firstly, the observer matching condition (OMC) and the strongly observability condition (SOC) are given. Then, a new FTO design framework with a reduced-order is given which is free from the influences of the unknown inputs. It is proven that the SOC together with the OMC guarantees the existence of a FTO which is able to provide an exact state estimation in an arbitrarily pre-defined time step. Another advantage of the FTO is that both the estimation accuracy and the convergence time step can be guaranteed regardless of whatever the initial values of the observer are. Finally, a numerical simulation validates the effectiveness of the proposed result.

Suggested Citation

  • Zhang, Jiancheng & Chadli, Mohammed & Wang, Yan, 2019. "A fixed-time observer for discrete-time singular systems with unknown inputs," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    • Handle: RePEc:eee:apmaco:v:363:y:2019:i:c:19
    DOI: 10.1016/j.amc.2019.124586
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    References listed on IDEAS

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    1. Li, Jian & Guo, Xinxin & Chen, Cong & Su, Qingyu, 2019. "Robust fault diagnosis for switched systems based on sliding mode observer," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 193-203.
    2. Du, Dongsheng & Cocquempot, Vincent & Jiang, Bin, 2019. "Robust fault estimation observer design for switched systems with unknown input," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 70-83.
    3. 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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    2. Yu, Peng & Ma, Yuechao, 2020. "Observer-based asynchronous control for Markov jump systems," Applied Mathematics and Computation, Elsevier, vol. 377(C).

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