IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v45y2014i7p1508-1517.html
   My bibliography  Save this article

Robust stabilisation of discrete-time time-varying linear systems with Markovian switching and nonlinear parametric uncertainties

Author

Listed:
  • Vasile Dragan

Abstract

In this paper, the problem of the robustness of the stability of a discrete-time linear stochastic system is addressed. The nominal plant is described by a discrete-time time-varying linear system subject to random jumping according with a non-homogeneous Markov chain with a finite number of states. The class of admissible uncertainties consists of multiplicative white noise type perturbations with unknown intensity. It is assumed that the intensity of white noise type perturbations is modelled by unknown nonlinear functions subject to linear growth conditions. The class of admissible controls consists of stabilising state feedback control laws. We show that the best robustness performance is achieved by the stability provided by a state feedback design based on the stabilising solution of a suitable discrete-time Riccati-type equation.

Suggested Citation

  • Vasile Dragan, 2014. "Robust stabilisation of discrete-time time-varying linear systems with Markovian switching and nonlinear parametric uncertainties," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(7), pages 1508-1517, July.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1508-1517
    DOI: 10.1080/00207721.2013.860643
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2013.860643
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2013.860643?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. Li Sheng & Ming Gao, 2013. "Robust stability of Markovian jump discrete-time neural networks with partly unknown transition probabilities and mixed mode-dependent delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(2), pages 252-264.
    2. Xiao-Zheng Jin & Guang-Hong Yang & Xiao-Heng Chang, 2013. "Robust and adaptive tracking control against actuator faults with a linearised aircraft application," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 151-165.
    3. Gerardo Romero & Iván Díaz & Irma Pérez & Alfredo Guerrero & David Lara & José Rivera, 2013. "New results on robust stability for differential-difference systems with affine linear parametric uncertainty," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 14-22.
    Full references (including those not matched with items on IDEAS)

    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. Yu, Zhefeng & Zhao, Feng & Ding, Shihong & Chen, Xiangyong, 2022. "Adaptive pre-assigned finite-time control of uncertain nonlinear systems with unknown control gains," Applied Mathematics and Computation, Elsevier, vol. 417(C).
    2. Zhiyao Ma & Yongming Li & Shaocheng Tong, 2017. "Observer-based fuzzy adaptive fault control for a class of MIMO nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(6), pages 1331-1346, April.
    3. P.R. Ouyang & V. Pano & T. Dam, 2015. "PID position domain control for contour tracking," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(1), pages 111-124, January.
    4. Zhao, Zhi-Ye & Jin, Xiao-Zheng & Wu, Xiao-Ming & Wang, Hai & Chi, Jing, 2022. "Neural network-based fixed-time sliding mode control for a class of nonlinear Euler-Lagrange systems," Applied Mathematics and Computation, Elsevier, vol. 415(C).

    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:taf:tsysxx:v:45:y:2014:i:7:p:1508-1517. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TSYS20 .

    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.