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Prescribed-time observers of LPV systems: A linear matrix inequality approach

Author

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  • Zhang, Jiancheng
  • Wang, Zhenhua
  • Zhao, Xudong
  • Wang, Yan
  • Xu, Ning

Abstract

This paper considers prescribed-time observer (PTO) designs for a class of linear parameter-varying (LPV) systems. Firstly, a full-order prescribed-time observer with time-varying gains is developed. The existence conditions are given in terms of linear matrix inequalities (LMIs). In addition, the reduced-order PTO is also considered in this paper. Moreover, it is shown that the existence conditions under which the full-order PTO exists can also guarantee the existence of a corresponding reduced-order PTO. The advantages of the full-order and the reduced-order PTOs over the existing asymptotic convergence observers are that (1) they can achieve exact estimations in almost any prescribed convergence time regardless of what the system initial values are. (2) the proposed time-varying gain PTOs can avoid the conservatism of the unknown input decoupling conditions brought about by the traditional polytopic LPV observer design methods. Finally, two examples are given to illustrate the effectiveness of the proposed methods.

Suggested Citation

  • Zhang, Jiancheng & Wang, Zhenhua & Zhao, Xudong & Wang, Yan & Xu, Ning, 2021. "Prescribed-time observers of LPV systems: A linear matrix inequality approach," Applied Mathematics and Computation, Elsevier, vol. 398(C).
    • Handle: RePEc:eee:apmaco:v:398:y:2021:i:c:s0096300321000308
    DOI: 10.1016/j.amc.2021.125982
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    References listed on IDEAS

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    1. 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.
    2. Neila Bedioui & Radhia Houimli & Mongi Besbes, 2019. "Simultaneous sensor and actuator fault estimation for continuous-time polytopic LPV system," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(6), pages 1290-1302, April.
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    Cited by:

    1. Fenghua Chen & Xinguo Qiu & Khalid A. Alattas & Ardashir Mohammadzadeh & Ebrahim Ghaderpour, 2022. "A New Fuzzy Robust Control for Linear Parameter-Varying Systems," Mathematics, MDPI, vol. 10(18), pages 1-22, September.

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