Robust energy-to-peak filtering for networked systems with time-varying delays and randomly missing data

Author(s): H. Zhang ; Y. Shi ; A. Saadat Mehr
DOI: 10.1049/iet-cta.2009.0243

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Author(s): H. Zhang ¹ ; Y. Shi ¹ ; A. Saadat Mehr ²
- Affiliations: 1: Department of Mechanical Engineering, University of Victoria, Victoria, Canada
  2: Department of Electrical and Computer Engineering, University of Saskatchewan, Saskatoon, Canada
Source: Volume 4, Issue 12, December 2010, p. 2921 – 2936
DOI: 10.1049/iet-cta.2009.0243 , Print ISSN 1751-8644, Online ISSN 1751-8652

This study is concerned with the robust energy-to-peak (l₂–l_∞) filtering problem for a class of uncertain linear discrete-time networked control systems with time-varying delays and randomly missing data. The system matrices are assumed to reside in a convex polytope, and the time-varying delays appearing in system states are assumed to lie in a given interval. Moreover, the random data missing is supposed to satisfy the Bernoulli random binary distribution. The authors' goal is to design a full-order filter such that the filtering error dynamic system is exponentially mean-square stable for all admissible time delays and randomly missing data while a prescribed l₂–l_∞ performance is achieved. Sufficient delay- and parameter-dependent conditions for the existence of the filter and for the solvability of the addressed problem are given in terms of a set of linear matrix inequalities. Finally, simulation examples and comparison studies are provided to demonstrate the effectiveness of the proposed approach.

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Robust energy-to-peak filtering for networked systems with time-varying delays and randomly missing data

Robust energy-to-peak filtering for networked systems with time-varying delays and randomly missing data

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