H-infinity Filtering for Discrete-Time Systems With Stochastic Incomplete Measurements and Mixed Delays

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Shi, Peng, Luan, Xiaoli and Liu, Cheng-Lin (2012) H-infinity Filtering for Discrete-Time Systems With Stochastic Incomplete Measurements and Mixed Delays. IEEE Transactions on Industrial Electronics, 59 (6). pp. 2732-2739. ISSN 0278-0046

Abstract

This paper focuses on the H∞ filtering problem for a class of discrete-time systems with stochastic incomplete measurement and mixed random delays. A more realistic and accurate measurement mode is proposed to compensate for the negative influence of both missing data and different time delays in a random way. In the system, all of the stochastic variables are mutually independent but satisfy the Bernoulli binary distribution. In particular, the stochastic infinite distributed delays are introduced in the discrete-time domain. Sufficient conditions for the existence of the admissible filter are derived in terms of linear matrix inequalities, which ensures the asymptotic stability as well as a prescribed H∞ performance for the filter errors. A simulation example is exploited to demonstrate the effectiveness of the proposed design procedures.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/10457
DOI https://doi.org/10.1109/TIE.2011.2167894
Official URL http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arn...
Subjects Current > FOR Classification > 0802 Computation Theory and Mathematics
Historical > SEO Classification > 970108 Expanding Knowledge in the Information and Computing Sciences
Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Keywords ResPubID25082, Discrete-time systems, H∞ filtering, random discrete delays, random distributed delays, random incomplete measurement, linear matrix inequalities, LMI, discrete-time distributed delays, Bernoulli distribution, filtering error system, H infinity filtering
Citations in Scopus 248 - View on Scopus
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