Finite-time H∞ control for stochastic Markovian jump systems with time-varying delay and generally uncertain transition rates

Guangtai Tian

International Journal of Systems Science, 2021, vol. 52, issue 12, 2446-2459

Abstract: This paper considers the finite-time $ H_{\infty } $ H∞ control problem for Markovian jump systems (MJSs) with time-varying delay and generally uncertain transition rates (GUTRs). Based on Lyapunov-Krasovskii functionals and free-weight matrices, some sufficient conditions for finite-time boundedness and $ H_{\infty } $ H∞ finite-time boundedness of MJSs are derived in the presence of external disturbances and It $ \hat {o} $ o^-type stochastic disturbances. A state feedback controller is proposed to achieve $ H_{\infty } $ H∞ finite-time boundedness performance. By applying linear matrix inequalities (LMIs), the parameterisation of the controller is converted to a convex optimisation problem. Finally, a practical example demonstrates the effectiveness of the proposed method.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/00207721.2021.1889709 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2446-2459

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/TSYS20

DOI: 10.1080/00207721.2021.1889709

Access Statistics for this article

International Journal of Systems Science is currently edited by Visakan Kadirkamanathan

More articles in International Journal of Systems Science from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().