Abstract
This paper is concerned with the \( {{H}_{\infty}} \) filtering problem for an array of 2D distributed parameter systems over lossy mobile sensor networks. The mobile sensor network suffers from missing measurements as well as quantization effects that are presented in a new framework. Bernoulli distribution is introduced to govern the data missing. A new \( {{H}_{\infty}} \) filtering technique is proposed for the addressed 2D semi-linear parabolic systems. Sufficient conditions are established in terms of some inequalities and the velocity law of each mobile sensor, such that the filtering error system is globally asymptotically stable in the mean square and has a guaranteed prescribed disturbance attenuation level \( \gamma \) for all nonzero noises. Finally, a numerical example is exploited to show the effectiveness of the proposed filtering scheme.
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References
Yick, J., Mukherjee, B., Ghosal, D.: Wireless sensor network survey. Comput. Netw. 52(12), 2292–2330 (2008)
Demetriou, M.A.: Hussein. I.I.: Estimation of spatially distributed processes using mobile spatially distributed sensor network. SIAM J. Control Optim. 48(1), 266–291 (2009)
Demetriou, M.A.: Guidance of mobile actuator-plus-sensor networks for improved control and estimation of distributed parameter systems. IEEE Trans. Autom. Control 55(7), 1570–1584 (2009)
Work, D.B., Bayen, A.M.: Convex formulations of air traffic flow optimization problems. Proc. IEEE 96(12), 2096–2112 (2008)
Nahi, N.E.: Optimal recursive estimation with uncertain observation. IEEE Trans. Inf. Theory 15(4), 457–462 (1969)
Wei, G., Wang, Z., Shu, H.: Robust filtering with stochastic nonlinearities and multiple missing measurements. Automatica 45(3), 836–841 (2009)
Shen, B., Wang, Z., Hung, Y.S.: Distributed H ∞ -consensus filtering in sensor networks with multiple missing measurements: the finite-horizon case. Automatica 46(10), 1682–1688 (2010)
Shen, B., Wang, Z., Shu, H., et al.: Robust H ∞ finite-horizon filtering with randomly occurred nonlinearities and quantization effects. Automatica 46(11), 1743–1751 (2010)
Curtain, R.F., Zwart, H.J.: An Introduction to Infinite Dimensional Linear Systems Theory, vol. 21. Springer, New York (1995)
Liu, Y., Wang, Z., Liu, X.: On synchronization of coupled neural networks with discrete and unbounded distributed delays. Int. J. Comput. Math. 85(8), 1299–1313 (2008)
Acknowledgements
This work was supported by the National Natural Science Foundation of China (Nos. 61174021, 61104155).
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Qian, X., Cui, B. (2017). H ∞ Filtering in Mobile Sensor Networks with Missing Measurements and Quantization Effects. In: Chen, G., Shen, H., Chen, M. (eds) Parallel Architecture, Algorithm and Programming. PAAP 2017. Communications in Computer and Information Science, vol 729. Springer, Singapore. https://doi.org/10.1007/978-981-10-6442-5_26
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DOI: https://doi.org/10.1007/978-981-10-6442-5_26
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