Delay-dependent stability and H∞ control for a class of fuzzy descriptor systems with time-delay

Hongbin Zhang; Yanyan Shen; Gang Feng

doi:10.1016/j.fss.2008.09.014

Author(s)

Hongbin Zhang
Yanyan Shen
Gang Feng

Detail(s)

Original language	English
Pages (from-to)	1689-1707
Journal / Publication	Fuzzy Sets and Systems
Volume	160
Issue number	12
Publication status	Published - 16 Jun 2009

Link(s)

DOI	DOI https://doi.org/10.1016/j.fss.2008.09.014 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-64949153477&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(9c653adf-ded2-49fe-8ea9-10564fb7ffba).html

Abstract

This paper addresses issues of stability analysis and H_∞ control for a class of fuzzy time-delay descriptor systems described by an extended Takagi-Sugeno (T-S) fuzzy model. A delay-dependent stability criterion is first presented, and a H_∞ control synthesis approach is then developed. Both the stability criterion and the H_∞ controller synthesis are based on the solutions of linear matrix inequalities (LMIs). Finally, two examples are given to illustrate the effectiveness of the approaches proposed in this paper. © 2008 Elsevier B.V. All rights reserved.

Research Area(s)

Fuzzy descriptor system, H∞ control, Linear matrix inequalities (LMIs), Stability, Takagi-Sugeno model, Time-delay

Citation Format(s)

[ RIS ] [ BibTeX ]

Delay-dependent stability and H_∞ control for a class of fuzzy descriptor systems with time-delay. / Zhang, Hongbin; Shen, Yanyan; Feng, Gang.

In: Fuzzy Sets and Systems, Vol. 160, No. 12, 16.06.2009, p. 1689-1707.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Zhang, H, Shen, Y & Feng, G 2009, 'Delay-dependent stability and H_∞ control for a class of fuzzy descriptor systems with time-delay', Fuzzy Sets and Systems, vol. 160, no. 12, pp. 1689-1707. https://doi.org/10.1016/j.fss.2008.09.014

Zhang, H., Shen, Y., & Feng, G. (2009). Delay-dependent stability and H_∞ control for a class of fuzzy descriptor systems with time-delay. Fuzzy Sets and Systems, 160(12), 1689-1707. https://doi.org/10.1016/j.fss.2008.09.014

Zhang H, Shen Y, Feng G. Delay-dependent stability and H_∞ control for a class of fuzzy descriptor systems with time-delay. Fuzzy Sets and Systems. 2009 Jun 16;160(12):1689-1707. https://doi.org/10.1016/j.fss.2008.09.014

Zhang, Hongbin ; Shen, Yanyan ; Feng, Gang. / Delay-dependent stability and H_∞ control for a class of fuzzy descriptor systems with time-delay. In: Fuzzy Sets and Systems. 2009 ; Vol. 160, No. 12. pp. 1689-1707.