Robust l₂–l_∞ filtering for switched linear discrete time-delay systems with polytopic uncertainties

Author(s): L. Zhang ; P. Shi ; E.-K. Boukas ; C. Wang
DOI: 10.1049/iet-cta:20060127

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Author(s): L. Zhang ¹ ; P. Shi ² ; E.-K. Boukas ³ ; C. Wang ¹
- Affiliations: 1: Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, People's Republic of China
  2: School of Technology, University of Glamorgan, Pontypridd, UK
  3: Department of Mechanical Engineering, Ecole Polytechnique de Montreal, Montreal, Canada
Source: Volume 1, Issue 3, May 2007, p. 722 – 730
DOI: 10.1049/iet-cta:20060127 , Print ISSN 1751-8644, Online ISSN 1751-8652

The problem of robust l₂–l_∞ filtering for switched linear discrete-time systems with polytopic uncertainties and time-varying delays is investigated. The time delay is assumed to be time-varying and bounded, which covers constant delay and mode-dependent constant delays as special cases. A robust switched linear filter is designed based on the mode-switching idea and a parameter-dependent stability approach such that the corresponding filtering error system is robustly asymptotically stable and achieves a prescribed l₂–l_∞ performance index for all admissible uncertainties. The existence conditions for such a filter, dependent on the upper and lower bounds of time-varying delays, are formulated in terms of a set of linear matrix inequalities. By solving that corresponding convex optimisation problem, the desired filter is obtained and an optimal l₂–l_∞ noise-attenuation level bound of the resulting filtering error system is guaranteed as well. A numerical example is given to show the feasibility and potential of the theoretical results.

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Robust l2–l∞ filtering for switched linear discrete time-delay systems with polytopic uncertainties

Robust l2–l∞ filtering for switched linear discrete time-delay systems with polytopic uncertainties

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Robust l₂–l_∞ filtering for switched linear discrete time-delay systems with polytopic uncertainties

Robust l₂–l_∞ filtering for switched linear discrete time-delay systems with polytopic uncertainties