Asynchronous H∞ filtering for 2D discrete Markovian jump systems with sensor failure

Ding Zhai, An-Yang Lu, Jiuxiang Dong and Qing-Ling Zhang

Applied Mathematics and Computation, 2016, vol. 289, issue C, 60-79

Abstract: This paper investigates the problem of the asynchronous H∞ filtering for a class of two-dimensional(2D) Markovian jump systems with sensor failure. The asynchronous phenomenon is considered to be random mismatch between system modes and candidate filters. The mismatch behavior is assumed to be stochastic with a certain probability and a new Markov chain is proposed to model the jumping process of the filtering error system. Besides, a switching method is proposed to dealing with the sensor failure. Sufficient conditions for the existence of a desired filter such that the filtering error system is stochastically stable with a guaranteed H∞ performance index are obtained in the form of linear matrix inequalities (LMIs). Two examples are provided to illustrate the effectiveness and advantage of the proposed method.

Keywords: Asynchronous H∞ filtering; Two-dimensional Markovian jump systems; Sensor failure; Linear matrix inequalities (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:289:y:2016:i:c:p:60-79

DOI: 10.1016/j.amc.2016.05.014

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