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Regular papers

State estimation with multi-level vector quantisation and communication uncertainty

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Pages 1297-1314 | Received 11 Oct 2019, Accepted 22 Nov 2020, Published online: 09 Dec 2020

References

  • Akyildiz, I. F., Su, W., Sankarasubramaniam, Y., & Cayirci, E. (2002). Wireless sensor networks: A survey. Computer Networks, 38(4), 393–422. https://doi.org/10.1016/S1389-1286(01)00302-4
  • Anderson, B. D., & Moore, J. B. (1979). Optimal filtering. Prentice-Hall.
  • Bar-Shalom, Y., & Li, X. R. (1995). Multitarget-multisensor tracking: Principles and techniques. University of New Orleans.
  • Cai, M., Lin, Y., Han, B., Liu, C., & Zhang, W. (2016). On a simple and efficient approach to probability distribution function aggregation. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 47(9), 2444–2453. https://doi.org/10.1109/TSMC.2016.2531647
  • Cheng, J., Park, J. H., Cao, J., & Qi, W. (2019). Hidden Markov model-based nonfragile state estimation of switched neural network with probabilistic quantized outputs. IEEE Transactions on Cybernetics, 50(5), 1900–1909. https://doi.org/10.1109/TCYB.6221036
  • Chow, Y. S., & Teicher, H. (1997). Probability theory: Independence, interchangeability, martingales. Springer-Verlag.
  • Clements, K. A., & Haddad, R. A. (1972). Approximate estimation for systems with quantized data. IEEE Transactions on Automatic Control, 17(2), 235–239. https://doi.org/10.1109/TAC.1972.1099954
  • Curry, R. E. (1970). Estimation and control with quantized measurements. MIT Press.
  • Dong, S., Su, H., Shi, P., Lu, R., & Wu, Z. G. (2017). Filtering for discrete-time switched fuzzy systems with quantization. IEEE Transactions on Fuzzy Systems, 25(6), 1616–1628. https://doi.org/10.1109/TFUZZ.2016.2612699
  • Fu, M., & de Souza, C. E. (2009). State estimation for linear discrete-time systems using quantized measurements. Automatica, 45(12), 2937–2945. https://doi.org/10.1016/j.automatica.2009.09.033
  • Gao, X., Akyol, E., & Ba, T (2015). Optimal estimation with limited measurements and noisy communication. In 54th IEEE conference on decision and control (CDC) (pp. 1775–1780).
  • Gao, H., & Chen, T. (2007). H∞ estimation for uncertain systems with limited communication capacity H∞ estimation for uncertain systems with limited communication capacity. IEEE Transactions on Automatic Control, 52(11), 2070–2084. https://doi.org/10.1109/TAC.2007.908316
  • Ghorbel, M. B., Rodríguez-Duarte, D., Ghazzai, H., Hossain, M. J., & Menouar, H. (2019). Joint position and travel path optimization for energy efficient wireless data gathering using unmanned aerial vehicles. IEEE Transactions on Vehicular Technology, 68(3), 2165–2175. https://doi.org/10.1109/TVT.2019.2893374
  • Guo, J., Zhao, Y., & Sun, C. Y. (2015). State estimation with quantised innovations and communication channels. IET Control Theory & Applications, 9(17), 2606–2612. https://doi.org/10.1049/iet-cta.2015.0029
  • Hu, J., Wang, Z., Liu, G. P., & Zhang, H. (2019). Variance-constrained recursive state estimation for time-varying complex networks with quantized measurements and uncertain inner coupling. IEEE Transactions on Neural Networks and Learning Systems, 31(6), 1955–1967. https://doi.org/10.1109/TNNLS.5962385
  • Hu, J., Wang, Z., Shen, B., & Gao, H. (2013). Quantised recursive filtering for a class of nonlinear systems with multiplicative noises and missing measurements. International Journal of Control, 86(4), 650–663. https://doi.org/10.1080/00207179.2012.756149
  • Ito, K., & Xiong, K. (2000). Gaussian filters for nonlinear filtering problems. IEEE Transactions on Automatic Control, 45(5), 910–927. https://doi.org/10.1109/9.855552
  • Karlsson, R., & Gustafsson, F (2005). Filtering and estimation for quantized sensor information (Technical Report LiTH-ISY-R2674). Linköping University Electronic.
  • Liu, A., Yu, L., Zhang, W. A., & Chen, M. Z. (2013). Moving horizon estimation for networked systems with quantized measurements and packet dropouts. IEEE Transactions on Circuits and Systems I: Regular Papers, 60(7), 1823–1834. https://doi.org/10.1109/TCSI.2012.2226499
  • Mostofi, Y., & Murray, R. M. (2009a). Kalman filtering over wireless fading channels-how to handle packet drop. International Journal of Robust and Nonlinear Control, 19(18), 1993–2015. https://doi.org/10.1002/rnc.v19:18
  • Mostofi, Y., & Murray, R. M. (2009b). To drop or not to drop: Design principles for Kalman filtering over wireless fading channels. IEEE Transactions on Automatic Control, 54(2), 376–381. https://doi.org/10.1109/TAC.2008.2008331
  • Msechu, E. J., Roumeliotis, S. I., Ribeiro, A., & Giannakis, G. B. (2008). Decentralized quantized Kalman filtering with scalable communication cost. IEEE Transactions on Signal Processing, 56(8), 3727–3741. https://doi.org/10.1109/TSP.2008.925931
  • Qiu, L., Gu, G., & Chen, W. (2013). Stabilization of networked multi-input systems with channel resource allocation. IEEE Transactions on Automatic Control, 58(3), 554–568. https://doi.org/10.1109/TAC.2012.2218065
  • Ribeiro, A., & Giannakis, G. B. (2006). Bandwidth-constrained distributed estimation for wireless sensor networks-part I: Gaussian case. IEEE Transactions on Signal Processing, 54(3), 1131–1143. https://doi.org/10.1109/TSP.2005.863009
  • Ribeiro, A., Giannakis, G. B., & Roumeliotis, S. I. (2006). SOI-KF: Distributed Kalman filtering with low-cost communications using the sign of innovations. IEEE Transactions on Signal Processing, 54(12), 4782–4795. https://doi.org/10.1109/TSP.2006.882059
  • Ruan, Y., & Willett, P. (2005). A quantization architecture for track fusion. IEEE Transactions on Aerospace and Electronic Systems, 41(2), 671–681. https://doi.org/10.1109/TAES.2005.1468756
  • Sinopoli, B., Schenato, L., Franceschetti, M., Poolla, K., Jordan, M. I., & Sastry, S. S. (2004). Kalman filtering with intermittent observations. IEEE Transactions on Automatic Control, 49(9), 1453–1464. https://doi.org/10.1109/TAC.2004.834121
  • Sutivong, A., Chiang, M., Cover, T. M., & Kim, Y. H. (2005). Channel capacity and state estimation for state-dependent Gaussian channels. IEEE Transactions on Information Theory, 51(4), 1486–1495. https://doi.org/10.1109/TIT.2005.844108
  • Sviestins, E., & Wigren, T. (2000). Optimal recursive state estimation with quantized measurements. IEEE Transactions on Automatic Control, 45(4), 762–767. https://doi.org/10.1109/9.847118
  • Tatikonda, S., Sahai, A., & Mitter, S. (2004). Stochastic linear control over a communication channel. IEEE Transactions on Automatic Control, 49(9), 1549–1561. https://doi.org/10.1109/TAC.2004.834430
  • Wang, Z., Dong, H., Shen, B., & Gao, H. (2013). Finite-horizon H∞ filtering with missing measurements and quantization effects. IEEE Transactions on Automatic Control, 58(7), 1707–1718. https://doi.org/10.1109/TAC.2013.2241492
  • Wu, J., Jia, Q., Johansson, K. H., & Shi, L. (2013). Event-based sensor data scheduling: Trade-off between communication rate and estimation quality. IEEE Transactions on Automatic Control, 58(4), 1041–1046. https://doi.org/10.1109/TAC.2012.2215253
  • Xiao, J., Ribeiro, A., Luo, Z., & Giannakis, G. B. (2006). Distributed compression-estimation using wireless sensor networks. IEEE Signal Processing Magazine, 23(4), 27–41. https://doi.org/10.1109/MSP.2006.1657815
  • Xu, Y., Lu, R., Peng, H., & Xie, S. (2017). Filtering for fuzzy systems with multiplicative sensor noises and multidensity quantizer. IEEE Transactions on Fuzzy Systems, 26(2), 1011–1022. https://doi.org/10.1109/TFUZZ.91
  • Yang, W., Liang, Y., Shitz, S. S., & Poor, H. V. (2018). State-dependent Gaussian multiple access channels: New outer bounds and capacity results. IEEE Transactions on Information Theory, 64(12), 7866–7882. https://doi.org/10.1109/TIT.2018.2839643
  • Yao, D., Lu, R., Xu, Y., & Wang, L. (2017). Robust H∞ filtering for Markov jump systems with mode-dependent quantized output and partly unknown transition probabilities Robust H∞ filtering for Markov jump systems with mode-dependent quantized output and partly unknown transition probabilities. Signal Processing, 137, 328–338. https://doi.org/10.1016/j.sigpro.2017.02.010
  • Yick, J., Mukherjee, B., & Ghosal, D. (2008). Wireless sensor network survey. Computer Networks, 52(12), 2292–2330. https://doi.org/10.1016/j.comnet.2008.04.002
  • You, K., & Xie, L. (2011). Linear quadratic Gaussian control with quantised innovations Kalman filter over a symmetric channel. IET Control Theory & Applications, 5(3), 437–446. https://doi.org/10.1049/iet-cta.2009.0488
  • You, K., Xie, L., Sun, S., & Xiao, W. (2008). Multiple-level quantized innovation Kalman filter. IFAC Proceedings, 41(2), 1420–1425. https://doi.org/10.3182/20080706-5-KR-1001.00243
  • You, K., Xie, L., Sun, S., & Xiao, W. (2011). Quantized filtering of linear stochastic systems. Transactions of the Institute of Measurement and Control, 33(6), 683–698. https://doi.org/10.1177/0142331209342213
  • Yu, D., Xia, Y., Li, L., & Zhai, D. H. (2020). Event-triggered distributed state estimation over wireless sensor networks. Automatica, 118, 109039. https://doi.org/10.1016/j.automatica.2020.109039
  • Zhang, Z., Li, J., & Liu, L. (2016). Distributed state estimation and data fusion in wireless sensor networks using multi-level quantized innovation. Science China Information Sciences, 59(2), 1–15. https://doi.org/10.1007/s11432-015-5415-6
  • Zhang, W., & Van Luttervelt, C. (2011). Toward a resilient manufacturing system. CIRP Annals, 60(1), 469–472. https://doi.org/10.1016/j.cirp.2011.03.041
  • Zhang, W., Wang, J., & Lin, Y. (2019). Integrated design and operation management for enterprise systems. Enterprise Information Systems, 13(4), 424–429. https://doi.org/10.1080/17517575.2019.1597169

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