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State estimation for a class of discrete nonlinear systems with randomly occurring uncertainties and distributed sensor delays. (English) Zbl 1302.93201

Summary: In this paper, the state estimation problem is investigated for a class of discrete nonlinear systems with randomly occurring uncertainties and distributed sensor delays. The norm-bounded uncertainties enter into the system in a randomly way, and such randomly occurring uncertainties (ROUs) obey certain Bernoulli distributed white noise sequence with known conditional probability. By constructing a new Lyapunov-Krasovskii functional, sufficient conditions are proposed to guarantee the convergence of the estimation error for all discrete time-varying delays, ROUs and distributed sensor delays. Subsequently, the explicit form of the estimator parameter is derived by solving two linear matrix inequalities (LMIs) which can be easily tested by using standard numerical software. Finally, a simulation example is given to illustrate the feasibility and effectiveness of the proposed estimation scheme.

MSC:

93E10 Estimation and detection in stochastic control theory
93C10 Nonlinear systems in control theory
93C55 Discrete-time control/observation systems
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[1] DOI: 10.1016/j.automatica.2007.11.020 · Zbl 1149.93034 · doi:10.1016/j.automatica.2007.11.020
[2] DOI: 10.1016/j.neucom.2013.06.015 · doi:10.1016/j.neucom.2013.06.015
[3] DOI: 10.1080/00207720701847661 · Zbl 1167.93400 · doi:10.1080/00207720701847661
[4] DOI: 10.1007/s00034-008-9083-2 · Zbl 1173.93033 · doi:10.1007/s00034-008-9083-2
[5] DOI: 10.1016/j.sigpro.2010.08.011 · Zbl 1217.94034 · doi:10.1016/j.sigpro.2010.08.011
[6] Caballero-Águila R., Computers and Mathematics with Applications 58 (6) pp 1160– · Zbl 1189.93136 · doi:10.1016/j.camwa.2009.06.046
[7] DOI: 10.1109/TAC.2010.2042987 · Zbl 1368.93706 · doi:10.1109/TAC.2010.2042987
[8] DOI: 10.1080/21642583.2013.789991 · doi:10.1080/21642583.2013.789991
[9] DOI: 10.1016/j.automatica.2012.05.070 · Zbl 1267.93167 · doi:10.1016/j.automatica.2012.05.070
[10] DOI: 10.1109/TNNLS.2012.2187926 · doi:10.1109/TNNLS.2012.2187926
[11] DOI: 10.1016/j.dsp.2012.02.009 · doi:10.1016/j.dsp.2012.02.009
[12] DOI: 10.1109/TSP.2012.2190599 · Zbl 1391.93232 · doi:10.1109/TSP.2012.2190599
[13] DOI: 10.1109/TIE.2012.2213553 · doi:10.1109/TIE.2012.2213553
[14] DOI: 10.1080/21642583.2013.775537 · doi:10.1080/21642583.2013.775537
[15] DOI: 10.1109/TAC.2011.2159909 · Zbl 1368.93148 · doi:10.1109/TAC.2011.2159909
[16] DOI: 10.1016/j.jprocont.2010.10.013 · doi:10.1016/j.jprocont.2010.10.013
[17] DOI: 10.1049/iet-spr.2010.0220 · doi:10.1049/iet-spr.2010.0220
[18] DOI: 10.1109/TIE.2013.2261038 · doi:10.1109/TIE.2013.2261038
[19] DOI: 10.1109/TIE.2011.2168791 · doi:10.1109/TIE.2011.2168791
[20] DOI: 10.1016/j.sysconle.2012.01.005 · Zbl 1250.93121 · doi:10.1016/j.sysconle.2012.01.005
[21] DOI: 10.1016/j.automatica.2012.03.027 · Zbl 1257.93099 · doi:10.1016/j.automatica.2012.03.027
[22] DOI: 10.1109/TSP.2012.2232660 · Zbl 1393.94261 · doi:10.1109/TSP.2012.2232660
[23] DOI: 10.1109/TSP.2011.2135350 · Zbl 1392.94836 · doi:10.1109/TSP.2011.2135350
[24] DOI: 10.1145/2379799.2379803 · doi:10.1145/2379799.2379803
[25] DOI: 10.1109/TSMCB.2008.925745 · doi:10.1109/TSMCB.2008.925745
[26] DOI: 10.1016/j.sigpro.2009.10.007 · Zbl 1197.94084 · doi:10.1016/j.sigpro.2009.10.007
[27] DOI: 10.1109/TAC.2011.2160027 · Zbl 1368.93689 · doi:10.1109/TAC.2011.2160027
[28] DOI: 10.1080/21642583.2013.817959 · doi:10.1080/21642583.2013.817959
[29] DOI: 10.1109/TNNLS.2013.2271357 · doi:10.1109/TNNLS.2013.2271357
[30] DOI: 10.1109/TNN.2010.2090669 · doi:10.1109/TNN.2010.2090669
[31] DOI: 10.1109/TCSII.2007.894425 · doi:10.1109/TCSII.2007.894425
[32] DOI: 10.1109/TAC.2013.2241492 · Zbl 1369.93660 · doi:10.1109/TAC.2013.2241492
[33] DOI: 10.1016/j.neucom.2010.03.013 · Zbl 05849745 · doi:10.1016/j.neucom.2010.03.013
[34] DOI: 10.1109/TNN.2009.2033599 · doi:10.1109/TNN.2009.2033599
[35] DOI: 10.1016/j.automatica.2012.01.008 · Zbl 1244.93162 · doi:10.1016/j.automatica.2012.01.008
[36] DOI: 10.1109/TAC.2011.2176362 · Zbl 1369.93583 · doi:10.1109/TAC.2011.2176362
[37] DOI: 10.1109/TAC.2010.2073311 · Zbl 1368.93732 · doi:10.1109/TAC.2010.2073311
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