H ∞ filtering of time-delay T–S fuzzy systems based on piecewise Lyapunov–Krasovskii functional

Based on a piecewise Lyapunov–Krasovskii functional (PLKF), this paper presents an H ∞ piecewise filtering method for T–S fuzzy systems with time delays. It is shown that the H ∞ filtering performance can be satisfied if there exists a PLKF. The PLKF and the corresponding filter can be obtained by s...

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Veröffentlicht in:	Signal processing 2009-10, Vol.89 (10), p.1998-2005
Hauptverfasser:	Chen, Cailian, Liu, Huixue, Guan, Xinping
Format:	Artikel
Sprache:	eng
Schlagworte:	[formula omitted] filtering Applied sciences Detection, estimation, filtering, equalization, prediction Exact sciences and technology Information, signal and communications theory Piecewise filter Signal and communications theory Signal, noise Telecommunications and information theory Time delay T–S fuzzy system
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Beschreibung
Zusammenfassung:	Based on a piecewise Lyapunov–Krasovskii functional (PLKF), this paper presents an H ∞ piecewise filtering method for T–S fuzzy systems with time delays. It is shown that the H ∞ filtering performance can be satisfied if there exists a PLKF. The PLKF and the corresponding filter can be obtained by solving a set of linear matrix inequalities (LMIs). Two examples are presented to demonstrate the efficiency and advantage of the proposed method.
ISSN:	0165-1684 1872-7557
DOI:	10.1016/j.sigpro.2009.04.002