Specific stability region analysis for uncertain fuzzy descriptor systems with multiple derivative matrices

Chih-Peng Huang

International Journal of Systems Science, 2016, vol. 47, issue 8, 1917-1930

Abstract: This paper addresses the specific stability region for uncertain fuzzy descriptor systems with distinct derivative matrices in the rules. First, an equivalent poles’ location criterion for the nominal descriptor system is originally derived and expressed as one compact form of strict and complex linear matrix inequality (LMI). Then, the result can be extended to cope with the specific stability region for the uncertain fuzzy descriptor systems with integrating multiple derivative matrices. Moreover, since the presented criteria involve complex LMIs, we appropriately conduct a projection scheme, where current LMI tools cannot evaluate them. By deriving useful projection operators onto the formed convex sets, an analysing algorithm is consequently presented for numerical evaluation. Finally, three numerical examples, two nonlinear systems and a physical circuit system, are given to demonstrate the validity and the practicability of the proposed approach.

Date: 2016
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/00207721.2014.960501 (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:47:y:2016:i:8:p:1917-1930

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

DOI: 10.1080/00207721.2014.960501

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 ().