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

Shi, Peng and 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

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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.

Item Type: Article
Uncontrolled 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
Subjects: FOR Classification > 0802 Computation Theory and Mathematics
SEO Classification > 970108 Expanding Knowledge in the Information and Computing Sciences
Faculty/School/Research Centre/Department > School of Engineering and Science
Depositing User: VUIR
Date Deposited: 20 Mar 2013 02:36
Last Modified: 23 Mar 2015 04:40
URI: http://vuir.vu.edu.au/id/eprint/10457
DOI: 10.1109/TIE.2011.2167894
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Citations in Scopus: 24 - View on Scopus

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