Non-fragile H∞ control of periodic piecewise time-varying systems based on matrix polynomial approach

Yun Liu, Panshuo Li and Bin Zhang

International Journal of Systems Science, 2021, vol. 52, issue 4, 805-820

Abstract: This paper investigates the problem of non-fragile $ H_{\infty } $ H∞ control for periodic piecewise time-varying systems. Based on a Lyapunov function with continuous time-varying Lyapunov matrix polynomial, and combining with the positiveness and negativeness properties of matrix polynomials, the $ H_{\infty } $ H∞ performance analysis is first accomplished. Then consider two types of controller gain perturbations that are formulated by time-varying matrix parameters and norm-bounded uncertainties. The additive and multiplicative non-fragile controllers to guarantee the $ H_{\infty } $ H∞ performance of the system are formed, of which the controller gain could be solved with linear matrix inequalities directly. The designed non-fragile $ H_{\infty } $ H∞ controller is desirable in applications. Finally, numerical examples demonstrate the effectiveness of the proposed methods.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/00207721.2020.1841846 (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:4:p:805-820

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

DOI: 10.1080/00207721.2020.1841846

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 ().