×
Li, Zu-Xin; Su, Hong-Ye; Gu, Yong; Wu, Zheng-Guang

\(H_{\infty}\) filtering for discrete-time singular networked systems with communication delays and data missing. (English) Zbl 1276.93075

Int. J. Syst. Sci. 44, No. 4, 604-614 (2013).
Summary: In this article, the problem of \(H_{\infty}\) filter design is investigated for discrete-time singular networked systems with both multiple stochastic time-varying communication delays and probabilistic missing measurements. Two kinds of stochastic time-varying communication delays, namely stochastic discrete delays and stochastic distributed delays, are simultaneously considered. The purpose of the addressed filtering problem is to design a filter such that, for the admissible random measurement missing and communication delays, the filtering error dynamics is asymptotically stable in the mean square with a prescribed \(H_{\infty}\) performance index. In terms of linear matrix inequality (LMI) method, a sufficient condition is established that ensures the asymptotical stability in the mean square with a prescribed \(H_{\infty}\) performance index of the filtering error dynamics and then the filter parameters are characterised by the solution to an LMI. A numerical example is introduced to demonstrate the effectiveness of the proposed design procedures.

Cited in 9 Documents

MSC:

93E11 Filtering in stochastic control theory
93B36 \(H^\infty\)-control
93C55 Discrete-time control/observation systems

Keywords:

singular systems; stochastic communication delays; packet dropout; \(H_{\infty}\) filtering; linear matrix inequality
Cite Review PDF
Full Text: DOI

References:

[1] Dai L, Singular Control Systems (1989) · doi:10.1007/BFb0002475
[2] Dong H, IEEE Transactions on Signal Processing 58 pp 1957– (2010) · Zbl 1392.94183 · doi:10.1109/TSP.2009.2038965
[3] Dong H, IEEE Transactions on Fuzzy Systems 58 pp 712– (2010) · doi:10.1109/TFUZZ.2010.2047648
[4] Dong H, IEEE Transactions on Signal Processing 58 pp 2534– (2010) · Zbl 1391.93233 · doi:10.1109/TSP.2010.2042489
[5] Gao H, IEEE Transactions on Automatic Control 53 pp 2142– (2008) · Zbl 1367.93696 · doi:10.1109/TAC.2008.930190
[6] Gao H, IEEE Transactions on Signal Processing 52 pp 1631– (2004) · Zbl 1369.93175 · doi:10.1109/TSP.2004.827188
[7] Gao H, IEEE Transactions Fuzzy Systems 17 pp 291– (2009) · doi:10.1109/TFUZZ.2008.924206
[8] He X, International Journal of Systems Science 41 pp 937– (2010) · Zbl 1213.93123 · doi:10.1080/00207720902974744
[9] He X, Automatica 45 pp 2634– (2009) · Zbl 1180.93101 · doi:10.1016/j.automatica.2009.07.020
[10] Kim JH, Automatica 46 pp 591– (2010) · Zbl 1194.93130 · doi:10.1016/j.automatica.2010.01.011
[11] DOI: 10.1080/00207721.2011.566640 · Zbl 1305.93065 · doi:10.1080/00207721.2011.566640
[12] Liang J, International Journal of Systems Science 42 pp 1459– (2011) · Zbl 1229.93146 · doi:10.1080/00207721.2010.550402
[13] Lin C, Automatica 45 pp 578– (2009) · Zbl 1158.93349 · doi:10.1016/j.automatica.2008.09.009
[14] Liu H, Automatica 44 pp 2655– (2008) · Zbl 1155.93432 · doi:10.1016/j.automatica.2008.03.011
[15] DOI: 10.1080/00207721.2011.555013 · Zbl 1305.93039 · doi:10.1080/00207721.2011.555013
[16] Liu Y, IEEE Transactions on Neural Networks 20 pp 1102– (2009) · doi:10.1109/TNN.2009.2016210
[17] Ma L, International Journal of Systems Science 42 pp 661– (2011) · Zbl 1233.93019 · doi:10.1080/00207720903171787
[18] Shen B, IEEE Transactions on Automatic Control 53 pp 2170– (2008) · Zbl 1367.93659 · doi:10.1109/TAC.2008.930199
[19] Shen B, Automatica 45 pp 1032– (2009) · Zbl 1162.93039 · doi:10.1016/j.automatica.2008.11.009
[20] Wang Y, Physics Letters A 372 pp 6066– (2008) · Zbl 1223.90013 · doi:10.1016/j.physleta.2008.08.008
[21] Wang Z, Automatica 45 pp 684– (2009) · Zbl 1166.93319 · doi:10.1016/j.automatica.2008.10.025
[22] Wang Z, Automatica 44 pp 1268– (2008) · Zbl 1283.93284 · doi:10.1016/j.automatica.2007.09.016
[23] Wang Z, IEEE Transactions on Neural Networks 21 pp 11– (2010) · doi:10.1109/TNN.2009.2033599
[24] Wei G, Automatica 45 pp 836– (2009) · Zbl 1168.93407 · doi:10.1016/j.automatica.2008.10.028
[25] Wu L, IEEE Transactions on Neural Networks 21 pp 1396– (2010) · doi:10.1109/TNN.2010.2056383
[26] Wu L, Automatica 46 pp 779– (2010) · Zbl 1193.93184 · doi:10.1016/j.automatica.2010.01.010
[27] Wu L, IEEE Transactions Automatic Control 55 pp 1213– (2010) · Zbl 1368.93696 · doi:10.1109/TAC.2010.2042234
[28] Wu L, Automatica 7 pp 1849– (2008) · Zbl 1149.93346 · doi:10.1016/j.automatica.2007.10.027
[29] Wu L, Automatica 45 pp 2120– (2009) · Zbl 1175.93065 · doi:10.1016/j.automatica.2009.05.014
[30] DOI: 10.1080/00207721.2011.564327 · Zbl 1305.93202 · doi:10.1080/00207721.2011.564327
[31] Wu Z, International Journal of Robust and Nonlinear Control 20 pp 1269– (2010) · Zbl 1200.93133 · doi:10.1002/rnc.1509
[32] Xia Y, Automatica 45 pp 1504– (2009) · Zbl 1166.93365 · doi:10.1016/j.automatica.2009.02.008
[33] Xie L, IEEE Transactions on Automatic Control 39 pp 1310– (1994) · Zbl 0812.93069 · doi:10.1109/9.293203
[34] Xiong J, IEEE Transactions on Signal Processing 54 pp 1421– (2006) · Zbl 1373.94736 · doi:10.1109/TSP.2006.871880
[35] Xu S, IEEE Transactions on Automatic Control 49 pp 568– (2004) · Zbl 1365.93375 · doi:10.1109/TAC.2003.822854
[36] Xu S, Robust Control and Filtering of Singular Systems (2006)
[37] Xu S, IEEE transactions on Signal Processing 53 pp 3764– (2005) · Zbl 1370.93109 · doi:10.1109/TSP.2005.855109
[38] Yang F, IEEE Transactions on Automatic Control 51 pp 511– (2006) · Zbl 1366.93167 · doi:10.1109/TAC.2005.864207
[39] Yue D, IEEE Transactions on Signal Processing 52 pp 3200– (2004) · Zbl 1370.93111 · doi:10.1109/TSP.2004.836535
[40] Yue D, IEE Proceedings – Control Theory and Applications 152 pp 628– (2005) · doi:10.1049/ip-cta:20045293
[41] Zhao Y, IEEE Transactions on Fuzzy Systems 17 pp 398– (2009) · doi:10.1109/TFUZZ.2009.2014860
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.