State estimation for networked systems with randomly occurring quantisations

In this article, the state estimation problem is investigated for a class of discrete-time networked systems with randomly occurring quantisations. Logarithmic quantisers with different quantisation laws are considered and a Bernoulli distributed stochastic sequence is utilised to determine which qu...

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Bibliographic Details
Published in:International journal of systems science 2013-07, Vol.44 (7), p.1253-1263
Main Authors: He, Xiao, Wang, Zidong, Ji, Y.D., Zhou, D.H.
Format: Article
Language:English
Subjects:
Converting
Estimators
Laws
Lyapunov functions
networked systems
networked three-tank system
randomly occurring quantisations
Simulation
State estimation
Stochasticity
Uncertainty
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Summary:In this article, the state estimation problem is investigated for a class of discrete-time networked systems with randomly occurring quantisations. Logarithmic quantisers with different quantisation laws are considered and a Bernoulli distributed stochastic sequence is utilised to determine which quantiser is used at a certain time instant. After converting the quantisation effects into sector-bounded parameter uncertainties, a sufficient condition ensuring the existence of desirable estimators is proposed by using Lyapunov function approach, and parameters of the desired estimator are further obtained. Simulation is carried out on a networked three-tank system in order to illustrate the applicability of the proposed state estimation technique.
ISSN:0020-7721
1464-5319
DOI:10.1080/00207721.2012.702245