IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v46y2015i7p1288-1298.html
   My bibliography  Save this article

Anti-windup design of uncertain discrete-time Markovian jump systems with partially known transition probabilities and saturating actuator

Author

Listed:
  • Yunliang Wei
  • Wei Xing Zheng
  • Ze Li
  • Guangdeng Zong

Abstract

This paper carries out a study on the design of anti-windup gains for uncertain discrete-time Markovian jump systems subject to both actuator saturation and partially known transition probabilities. The parameter uncertainties appearing in both the state and input matrices are assumed to be time-varying and norm-bounded. Under the assumption that a set of linear dynamic output feedback controllers have been designed to stabilise the Markovian jump system in the absence of actuator saturation, anti-windup compensation gains are designed for maximising the domain of attraction of the closed-loop system with actuator saturation. Then, by solving a convex optimisation problem with constraints of a set of linear matrix inequalities, the anti-windup compensation gains are obtained. A simulation example is provided to illustrate the effectiveness of the proposed technique.

Suggested Citation

  • Yunliang Wei & Wei Xing Zheng & Ze Li & Guangdeng Zong, 2015. "Anti-windup design of uncertain discrete-time Markovian jump systems with partially known transition probabilities and saturating actuator," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1288-1298, May.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1288-1298
    DOI: 10.1080/00207721.2013.819949
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2013.819949
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2013.819949?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. Hao Shen & Shengyuan Xu & Jianping Zhou & Jinjun Lu, 2011. "Fuzzy filtering for nonlinear Markovian jump neutral systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(5), pages 767-780.
    2. Xiuming Yao & Ligang Wu & Wei Zheng & Changhong Wang, 2011. "Robust ℋ filtering of Markovian jump stochastic systems with uncertain transition probabilities," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(7), pages 1219-1230.
    3. Mouquan Shen & Guang-Hong Yang, 2012. "state feedback controller design for continuous Markov jump linear systems with partly known information," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(4), pages 786-796.
    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. Lee, Seok Young & Lee, Won Il & Park, PooGyeon, 2017. "Improved stability criteria for linear systems with interval time-varying delays: Generalized zero equalities approach," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 336-348.
    2. Xie, Jing & Kao, Yonggui & Wang, Changhong & Gao, Cunchen, 2015. "Delay-dependent robust stability of uncertain neutral-type Itoˆ stochastic systems with Markovian jumping parameters," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 576-585.
    3. Yonggui Kao & Changhong Wang & Jing Xie & Hamid Reza Karimi, 2016. "New delay-dependent stability of Markovian jump neutral stochastic systems with general unknown transition rates," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(11), pages 2499-2509, August.
    4. Bo-Chao Zheng & Guang-Hong Yang, 2014. "Sliding mode control for Markov jump linear uncertain systems with partly unknown transition rates," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(10), pages 1999-2011, October.
    5. Feng Zhao & Qingling Zhang & Guoliang Wang, 2016. "filtering for piecewise homogeneous Markovian jump nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(13), pages 3258-3271, October.
    6. Chen, Wenbin & Lu, Junwei & Zhuang, Guangming & Gao, Fang & Zhang, Zhengqiang & Xu, Shengyuan, 2022. "Further results on stabilization for neutral singular Markovian jump systems with mixed interval time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 420(C).
    7. Song, Xiaona & Men, Yunzhe & Zhou, Jianping & Zhao, Junjie & Shen, Hao, 2017. "Event-triggered H∞ control for networked discrete-time Markov jump systems with repeated scalar nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 123-132.

    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:46:y:2015:i:7:p:1288-1298. 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.