A decentralized fusion estimator using linear coding compensation method with non-fixed dropout rates
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摘要:
为解决无线信道非固定丢包率建模和丢包补偿问题,研究了具有非固定丢包率的网络化多传感器融合估计问题。假定无线信道丢包率是非固定的,利用对过去得到的有限个测量值进行线性编码的方法对丢包进行补偿,针对系统矩阵中存在的非高斯非白噪声随机干扰,首先设计了一种利用每一时刻数据包到达变量的局部最优估计器,其次推导出融合估计误差协方差与传感器传输概率之间的函数关系。最后通过算例仿真验证所提方法的有效性。
Abstract:The networked multi-sensor fusion estimation problem is investigated in the paper for a class of networked system with non-fixed packet loss rates, which aims to solving the problem of modeling of non-fixed packet loss rates in wireless channel and the problem of dropout compensation. The dropout rate of the wireless channel is assumed to be non-fixed. A linear coding method is used at the sensor by combining the past several measurements to get a new measurement, which compensates the data. First, a recursive locally optimal estimator is designed by minimizing the mean square error accounting for the non-Gaussian non-white noise random disturbance of the system matrix and making good use of the real-time arrival information based on the received measurement. Second, the functional relationship between the fusion estimation error covariance and sensor transmitting probability is derived. Finally, simulation example is given to confirm the effectiveness of the proposed method.
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表 1 不同传输概率下的融合估计精度
Table 1. Fusion estimation accuracy with different transmission rates
pk, tran* Tr(P200o) {0.06, 0.999, 0.999} 0.7077 {1, 1, 1} 0.7130 {0.9, 0.9, 0.9} 0.7152 {0.5, 0.5, 0.5} 0.7244 -
[1] MA J, SUN S.Optimal linear estimators for multi-sensor stochastic uncertain systems with packet losses of both sides[J].Digital Signal Processing, 2012, 6(9):839-848. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=de46fbe74cb1235d1c7ada34e3e857e1 [2] HAN C, ZHANG H, FU M.Optimal estimation for networked systems with Markovian communication delays[J].Automatica, 2013, 49(10):3098-3104. [3] CHEN B, YU L, ZHANG W A.Distributed fusion estimation with missing measurements, random transmission delays and packet dropouts[J].IEEE Transactions on Automatic Control, 2014, 59(7):961-967. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=888c063e8bfd8ac631603d029ad687db [4] ZHANG W A, YU L, FENG G.Optimal linear estimation for networked systems with communication constraints[J].Automatica, 2011, 47(9):1992-2000. doi: 10.1016/j.automatica.2011.05.020 [5] SUN S L.Optimal linear filters for discrete-time systems with randomly delayed and lost measurements with/without time stamps[J].IEEE Transactions on Automatic Control, 2013, 58(6):1551-1556. doi: 10.1109/TAC.2012.2229812 [6] SILVA E, SOLIS M.An alternative look at the constant-gain Kalman filter for state estimation over erasure channels[J].IEEE Transactions on Automatic Control, 2013, 58(12):3259-3265. doi: 10.1109/TAC.2013.2263647 [7] NAEEM K, SAJJAD F, GU D W.Improvement on state estimation for discrete-time LTI systems with measurement loss[J].Measurement, 2010, 43(10):1609-1622. doi: 10.1016/j.measurement.2010.09.011 [8] ZHANG L J, YANG L X, GUO L D, et al.Optimal estimation for multiple packet dropouts systems based on measurement predictor[J].IEEE Sensors Journal, 2011, 11(9):1943-1950. doi: 10.1109/JSEN.2011.2106157 [9] SCHENATO L.Optimal estimation in networked control systems subject to random delay and packet drop[J].IEEE Transactions on Automatic Control, 2008, 53(5):1311-1317. doi: 10.1109/TAC.2008.921012 [10] SUI T J, YOU K Y, FU M Y, et al.Stability of MMSE state estimators over lossy networks using linear coding[J].Automatica, 2015, 51:167-174. doi: 10.1016/j.automatica.2014.10.086 [11] SUI T J, YOU K Y, FU M Y.Optimal sensor scheduling for state estimation over lossy channel[J].IET Control Theory & Applications, 2015, 9(16):2458-2465. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=29e518593629dea3c260cd69590f5a65 [12] 赵国荣, 韩旭, 卢建华.一种基于数据驱动传输策略的带宽受限的分布式融合估计器[J].自动化学报, 2015, 41(9):1649-1658. http://www.cnki.com.cn/Article/CJFDTotal-MOTO201509011.htmZHAO G R, HAN X, LU J H.A decentralized fusion estimator using data-driven communication strategy subject to bandwidth constraints[J] Acta Automatica Sinca, 2015, 41(9):1649-1658(in Chinese). http://www.cnki.com.cn/Article/CJFDTotal-MOTO201509011.htm [13] BATTISTELLI G, BENAVOLI A, CHISCI L.Data-driven communication for state estimation with sensor networks[J].Automatica, 2012, 48(5):926-935. doi: 10.1016/j.automatica.2012.02.028 [14] LI N, SUN S L, MA J.Multi-sensor distributed fusion filtering for networked systems with different delay and loss rates[J].Digital Signal Processing, 2014, 34:29-38. doi: 10.1016/j.dsp.2014.07.016 [15] SUN S L, WANG G.Modeling and estimation for networked systems with multiple random transmission delays and packet losses[J].Systems & Control Letters, 2014, 73(12):6-16. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=36674a0f15167517f7903b90041605e1