State estimation for networked systems with randomly occurring quantisations

Abstract

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.

Keywords:

• state estimation
• networked systems
• randomly occurring quantisations
• networked three-tank system

Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grants 61074084 and 61074085, and the Ministry Of Science and Technology of China under Grant 2010DFA72760 entitled with ‘Collaboration on Cutting-edge Technology Development of Electric Vehicle’.