XU Guangnan, GAO Zhiyong, LIANG Yanjie, et al. Verification and Restoration Method of Abnormal Monitoring Data by Compressive Sensing for Process Industry[J]. 2020, 54(2): 59-70.
DOI:
XU Guangnan, GAO Zhiyong, LIANG Yanjie, et al. Verification and Restoration Method of Abnormal Monitoring Data by Compressive Sensing for Process Industry[J]. 2020, 54(2): 59-70.DOI: 10.7652/xjtuxb202002008.
Verification and Restoration Method of Abnormal Monitoring Data by Compressive Sensing for Process Industry
Aiming at verifying and restoring abnormal monitoring data from the production system of process industry with mufti-variables
high-dimensionality and complex coupling relationship
a verification and restoration method for abnormal monitoring data is proposed by compressive sensing. The compressive sensing algorithm can reconstruct original sparse signal with very few measurement data or obtain the signal of sparse expression on a sparse basis. Combining the compressive sensing algorithm with the success rate of reconstruction
a mathematical model is established
which can reconstruct the system equation reflecting the dynamic relationship of the nodes in state-aware network with only a small number of monitoring data. The analytical value of monitoring data is obtained by substituting the reconstructed system equation into the solving structure considering system deviation. Compared the actual value with the analytical value of monitoring data
if the actual value is overproof
the
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references
刘德荣. 复杂工业过程的先进控制 [J]. 自动化学报, 2014, 40(9): 1841-1842.LIU Derong. The advanced control of complex industrial process [J]. Acta Automatica Sinica, 2014, 40(9): 1841-1842
赵皓, 高智勇, 高建民, 等. 一种采用相空间重构的多源数据融合方法 [J]. 西安交通大学学报, 2016, 50(8): 84-89.ZHAO Hao, GAO Zhiyong, GAO Jianmin, et al. A fusion method of multisource data using phase space reconstruction [J]. Journal of Xi’an Jiaotong University, 2016, 50(8): 84-89
PODOBNIK B, GROSSE I, HORVATIAC’U D, et al. Quantifying cross-correlations using local and global detrending approaches [J]. The European Physical Journal: B, 2009, 71(2): 243-250
ZHOU W X. Multifractal detrended cross-correlation analysis for two nonstationary signals [J]. Physical Review: E, 2008, 77(6): 066211
HEDAYATIFAR L, VAHABI M, JAFARI G R. Coupling detrended fluctuation analysis for analyzing coupled nonstationary signals [J]. Physical Review: E, 2011, 84(2): 021138
蒋余厂, 刘爱伦. 基于GLR-NT的显著误差检测与数据协调 [J]. 华东理工大学学报(自然科学版), 2011, 37(4): 502-508.JIANG Yuchang, LIU Ailun. Gross error detection and data reconciliation based on A GLR-NT combined method [J]. Journal of East China University of Science and Technology(Natural Science Edition), 2011, 37(4): 502-508
WANG F, JIA X P, ZHENG S Q, et al. An improved MT-NT method for gross error detection and data reconciliation [J]. Computers & Chemical Engineering, 2004, 28(11): 2189-2192
SUN S C, DAO H, GONG Y X. A MT-NT-MILP combined method for gross error detection and data reconciliation [C]∥The 2nd International Conference on Information Science and Engineering. Piscataway NJ, USA: IEEE, 2010: 3439-3442
何九虎, 刘飞. 工业过程数据异常检测的改进局部离群因子法 [J]. 计算机与应用化学, 2013, 30(1): 53-56.HE Jiuhu, LIU Fei. The outlier detection of industry process using improved local outlier factor [J]. Computers and Applied Chemistry, 2013, 30(1): 53-56
LIANG Y J, GAO Z Y, GAO J M, et al. Data fusion combined with echo state network for multivariate time series prediction in complex electromechanical system [J]. Computational and Applied Mathematics, 2018, 37(5): 5920-5934
葛新权. 回归模型应用的发展综述 [J]. 北京信息科技大学学报(自然科学版), 2009, 24(3): 1-6.GE Xinquan. Applying development of regression model [J]. Journal of Beijing Information Science & Technology University, 2009, 24(3): 1-6
李珅, 马彩文, 李艳, 等. 压缩感知重构算法综述 [J]. 红外与激光工程, 2013, 42(S1): 225-232.LI Shen, MA Caiwen, LI Yan, et al. Survey on reconstruction algorithm based on compressive sensing [J]. Infrared and Laser Engineering, 2013, 42(S1): 225-232
CANDES E J, TAO T. Near-optimal signal recovery from random projections: universal encoding strategies? [J]. IEEE Transactions on Information Theory, 2006, 52(12): 5406-5425
CANDES E J, TAO T. Decoding by linear programming [J]. IEEE Transactions on Information Theory, 2005, 51(12): 4203-4215
NING W. Strongly NP-hard discrete gate-sizing problems [J]. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 1994, 13(8): 1045-1051
李峰, 郭毅. 压缩感知浅析 [M]. 北京: 科学出版社, 2015: 61-79
DONOHO D L. Compressed sensing [J]. IEEE Transactions on Information Theory, 2006, 52(4): 1289-1306
CHEN S, SDONOHO D, LSAUNDERS M A. Atomic decomposition by basis pursuit [J]. SIAM Review, 2001, 43(1): 129-159
NEEDELL DTROPP J A. CoSaMP: iterative signal recovery from incomplete and inaccurate samples [J]. Communications of the ACM, 2010, 53(12): 93-100
DAI Wei, MILENKONIC O. Subspace pursuit for compressive sensing signal reconstruction [J]. IEEE Transactions on Information Theory, 2009, 55(5): 2230-2249
DO T T, GAN L, NGUYEN N, et al. Sparsity adaptive matching pursuit algorithm for practical compressed sensing [C]∥2008 42nd Asilomar Conference on Signals, Systems and Computers. Piscataway, NJ, USA: IEEE, 2008: 581-587
JI Shihao, XUE Ya, CARIN L. Bayesian compressive sensing [J]. IEEE Transactions on Signal Processing, 2008, 56(6): 2346-2356
WANG Wenxu, YANG Rui, LAI Yingcheng, et al. Predicting catastrophes in nonlinear dynamical systems by compressive sensing [J]. Physical Review Letters, 2011, 106(15): 154101
YANG R, LAI Y C, GREBOGI C. Forecasting the future: is it possible for adiabatically time-varying nonlinear dynamical systems? [J]. Chaos: an Interdisciplinary Journal of Nonlinear Science, 2012, 22(3): 033119.