IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/879492.html
   My bibliography  Save this article

Observer Design for One-Sided Lipschitz Nonlinear Systems Subject to Measurement Delays

Author

Listed:
  • Sohaira Ahmad
  • Raafia Majeed
  • Keum-Shik Hong
  • Muhammad Rehan

Abstract

This paper presents a novel nonlinear observer-design approach to one-sided Lipschitz nonlinear systems in the presence of output delays. The crux of the approach is to overcome the practical consequences of time delays, encountered due to distant sensor position and time lag in measurement, for estimation of physical and engineering nonlinear system states. A Lyapunov-Krasovskii functional is employed, the time derivative of which is solved using Jensen’s inequality, one-sided Lipschitz condition, and quadratic inner-boundedness, and, accordingly, design conditions for delay-range-dependent nonlinear observer for delayed one-sided Lipschitz systems are derived. Further, novel solutions to the problems of delay-dependent observer synthesis of one-sided Lipschitz models and delay-range-dependent state estimation of linear and Lipschitz nonlinear systems are deduced from the present delay-range-dependent technique. An observer formulation methodology for retrieval of one-sided Lipschitz nonlinear-system states, which is robust against norm-bounded perturbations, is devised. The resultant design conditions, in contrast to the conventional procedures, can be solved via less conservative linear matrix inequality- (LMI-) based routines that succeed by virtue of additional LMI variables, meaningful transformations, and cone complementary linearization algorithm. Numerical examples are worked out to illustrate the effectiveness of the proposed observer-synthesis approach for delayed one-sided Lipschitz systems.

Suggested Citation

  • Sohaira Ahmad & Raafia Majeed & Keum-Shik Hong & Muhammad Rehan, 2015. "Observer Design for One-Sided Lipschitz Nonlinear Systems Subject to Measurement Delays," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-13, March.
  • Handle: RePEc:hin:jnlmpe:879492
    DOI: 10.1155/2015/879492
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2015/879492.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/MPE/2015/879492.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2015/879492?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
    ---><---

    Citations

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


    Cited by:

    1. Rehan, Muhammad & Tufail, Muhammad & Hong, Keum-Shik, 2016. "Delay-range-dependent synchronization of drive and response systems under input delay and saturation," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 197-207.
    2. 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 1-35, April.

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnlmpe:879492. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.