IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v398y2021ics0096300321000308.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300321000308
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2021.125982?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tmar, Zied & Wafi, Taieb & Besbes, Mongi, 2023. "Revisited control of non regular singular system by using adaptive scheduled gain - case of methanizer," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    2. Yu, Peng & Ma, Yuechao, 2020. "Observer-based asynchronous control for Markov jump systems," Applied Mathematics and Computation, Elsevier, vol. 377(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:398:y:2021:i:c:s0096300321000308. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.