Circuits, Systems & Signal Processing

, Volume 28, Issue 5, pp 763–779 | Cite as

Delay-Dependent Robust H ∞ Filter Design for Uncertain Linear Systems with Time-Varying Delay

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Abstract

A new delay-dependent robust H ∞ filtering design for uncertain linear systems with time-varying delay is investigated. Two kinds of time-varying delays are considered. One is differentiable uniformly bounded with a bounded delay derivative; the other is continuous uniformly bounded. A full-order filter is designed which ensures the asymptotic stability of the filtering error system and a prescribed level of H ∞ performance for all possible parameters which reside in a given polytope. By constructing a new Lyapunov functional which contains a triple integral term, new delay-dependent conditions for the existence of the H ∞ filter are derived which are less conservative than the existing ones. The filter gain can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, two numerical examples are given to show the effectiveness and the advantages of the proposed method.

Keywords

Delay-dependent stability H∞ filtering Time-varying delay Lyapunov functional Linear matrix inequality 
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Copyright information

© Birkhäuser Boston 2009

Authors and Affiliations

  1. 1.School of AutomationBeijing Institute of TechnologyBeijingChina
  2. 2.Faculty of Advanced TechnologyUniversity of GlamorganPontypriddUK
  3. 3.Key Laboratory of Complex Systems and Intelligent Science, Institute of AutomationChinese Academy of SciencesBeijingChina

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