Abstract
In Chap. 4, the robust H ∞ finite-horizon filtering problem is addressed for uncertain discrete time-varying stochastic systems with randomly occurring nonlinearities (RONs), quantization effects, and successive packet dropouts (SPDs). In order to describe the phenomena of a nonlinear disturbance appearing in a random way, the notion of the RONs is introduced. We first develop a new robust H ∞ filtering technique for the Itô-type discrete time-varying stochastic systems with polytopic uncertainties, quantization effects, and RONs. Then, the robust H ∞ finite-horizon filtering problem is studied for discrete time-varying stochastic systems with norm-bounded uncertainties, multiple randomly occurred nonlinearities, and SPDs.
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References
Barabanov, N.E., Prokhorov, D.V.: Stability analysis of discrete-time recurrent neural networks. IEEE Trans. Neural Netw. 13(2), 292–303 (2002)
Berman, N., Shaked, U.: H ∞ control for discrete-time nonlinear stochastic systems. IEEE Trans. Autom. Control 51(6), 1041–1046 (2006)
Elia, N., Mitter, K.: Stabilization of linear systems with limited information. IEEE Trans. Autom. Control 46(9), 1384–1400 (2001)
Fu, M., Xie, L.: The sector bound approach to quantized feedback control. IEEE Trans. Autom. Control 50(11), 1689–1711 (2005)
Gershon, E., Shaked, U.: H ∞ output-feedback of continuous-time linear systems with state-multiplicative noise. In: Proc. the 13th Mediterranean Conference on Control and Automation, Limassol, Cyprus, pp. 1464–1469 (2005)
Hung, Y.S., Yang, F.: Robust H ∞ filtering with error variance constraints for discrete time-varying systems with uncertainty. Automatica 39(7), 1185–1194 (2003)
Khalil, H.K.: Nonlinear Systems. Prentice-Hall, Upper Saddle River (1996)
Lur’e, A.I.: Some Nonlinear Problems in the Theory of Automatic Control. H.M. Stationery Office, London (1957)
Sahebsara, M., Chen, T., Shah, S.L.: Optimal H 2 filtering in networked control systems with multiple packet dropout. IEEE Trans. Autom. Control 52(8), 1508–1513 (2007)
Sahebsara, M., Chen, T., Shah, S.L.: Optimal H 2 filtering with random sensor delay, multiple packet dropout and uncertain observations. Int. J. Control 80(2), 292–301 (2007)
Sahebsara, M., Chen, T., Shah, S.L.: Optimal H ∞ filtering in networked control systems with multiple packet dropouts. Syst. Control Lett. 57(9), 696–702 (2008)
Shaked, U., Suplin, V.: A new bounded real lemma representation for the continuous-time case. IEEE Trans. Autom. Control 46(9), 1420–1426 (2001)
Sun, S., Xie, L., Xiao, W.: Optimal full-order and reduced-order estimators for discrete-time systems with multiple packet dropouts. IEEE Trans. Signal Process. 56(8), 4031–4038 (2008)
Yang, F., Li, Y.: Set-membership filtering for systems with sensor saturation. Automatica 45(8), 1896–1902 (2009)
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Shen, B., Wang, Z., Shu, H. (2013). Filtering with Randomly Occurring Nonlinearities, Quantization, and Packet Dropouts. In: Nonlinear Stochastic Systems with Incomplete Information. Springer, London. https://doi.org/10.1007/978-1-4471-4914-9_4
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DOI: https://doi.org/10.1007/978-1-4471-4914-9_4
Publisher Name: Springer, London
Print ISBN: 978-1-4471-4913-2
Online ISBN: 978-1-4471-4914-9
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