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Delay-dependent robust H filtering design for uncertain discrete-time T-S fuzzy systems with interval time-varying delay

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3 Author(s)
Jianbin Qiu ; Dept. of Manuf. Eng. & Eng. Manage., Univ. of Sci. & Technol. of China, Suzhou ; Gang Feng ; Jie Yang

This paper investigates the problem of delay-dependent robust Hinfin filtering design for a class of uncertain discrete-time state-delayed T-S fuzzy systems. The state delay is assumed to be time-varying and of an interval-like type, which means that both the lower and upper bounds of the time-varying delay are available. The parameter uncertainties are assumed to have a structured linear fractional form. Based on a novel delay and fuzzy-basis-dependent Lyapunov-Krasovskii functional combined with Finslerpsilas Lemma, a new sufficient condition for robust Hinfin performance analysis is firstly derived and then the filter synthesis is developed. It is shown that by using a new linearization technique incorporating a bounding inequality, a unified framework can be developed such that both the full-order and reduced-order filters can be obtained by solving a set of linear matrix inequalities, which are numerically efficient with commercially available software. Finally, a numerical example is provided to illustrate the advantages and less conservatism of the proposed approach.

Published in:

Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE International Conference on

Date of Conference:

1-6 June 2008