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Robust stability analysis of a class of uncertain neutral T–S fuzzy systems with time delay

Published online by Cambridge University Press:  04 September 2014

YANJIANG LI,
CHONG TAN,
JIANTING LV and
XIAN ZHANG
YANJIANG LI
Affiliation:
School of Mathematical Science, Heilongjiang University, Harbin 150080, China Email: zottf@163.com; lvjianting@gmail.com; zhangx663@126.com
CHONG TAN
Affiliation:
School of Automation, Harbin University of Science and TechnologyHarbin 150080, China Email: tc20021671@126.com
JIANTING LV
Affiliation:
School of Mathematical Science, Heilongjiang University, Harbin 150080, China Email: zottf@163.com; lvjianting@gmail.com; zhangx663@126.com
XIAN ZHANG
Affiliation:
School of Mathematical Science, Heilongjiang University, Harbin 150080, China Email: zottf@163.com; lvjianting@gmail.com; zhangx663@126.com
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Abstract

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We consider the problem of the robust stability of a class of uncertain T–S fuzzy neutral systems with time delay under time-varying parametric uncertainties using the Lyapunov–Krasovskii approach, where the parametric uncertainty is assumed to be norm bounded. By choosing a new Lyapunov–Krasovskii function, we are able to propose less conservative robust stability criteria in terms of linear matrix inequalities (LMIs) such that the uncertain T–S fuzzy neutral system under consideration remains asymptotically stable. The reduced conservatism of the proposed stability criterion compared with recently reported results is attributed to our using the Jensen inequality. The obtained results can also reduce the computational complexity.

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