메뉴 건너뛰기




Volumn 30, Issue 6, 2016, Pages 824-842

Convergence of the recursive identification algorithms for multivariate pseudo-linear regressive systems

Author keywords

least squares algorithm; martingale convergence theorem; parameter estimation; pseudo linear regressive model; stochastic gradient algorithm

Indexed keywords

ALGORITHMS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

EID: 84949293739     PISSN: 08906327     EISSN: 10991115     Source Type: Journal    
DOI: 10.1002/acs.2642     Document Type: Article
Times cited : (47)

References (43)
  • 2
    • 54249153250 scopus 로고    scopus 로고
    • L-2 and l-infnity filtering for multirate systems based on lifted models
    • Yu B, Shi Y, Huang H,. l-2 and l-infnity filtering for multirate systems based on lifted models. Circuits, Systems, and Signal Processing 2008; 27 (5): 699-711.
    • (2008) Circuits, Systems, and Signal Processing , vol.27 , Issue.5 , pp. 699-711
    • Yu, B.1    Shi, Y.2    Huang, H.3
  • 4
    • 84883859581 scopus 로고    scopus 로고
    • System structure identification and adaptive control of a seismic isolator test rig
    • Massa GD, Russo R, Strano S, Terzo M,. System structure identification and adaptive control of a seismic isolator test rig. Mechanical Systems and Signal Processing 2013; 40 (2): 736-753.
    • (2013) Mechanical Systems and Signal Processing , vol.40 , Issue.2 , pp. 736-753
    • Massa, G.D.1    Russo, R.2    Strano, S.3    Terzo, M.4
  • 5
    • 84905223457 scopus 로고    scopus 로고
    • Simple adaptive control - A stable direct model reference adaptive control methodology - Brief survey
    • Barkana I,. Simple adaptive control-a stable direct model reference adaptive control methodology-brief survey. International Journal of Adaptive Control and Signal Processing 2014; 28 (7-8): 567-603.
    • (2014) International Journal of Adaptive Control and Signal Processing , vol.28 , Issue.78 , pp. 567-603
    • Barkana, I.1
  • 6
    • 84908451452 scopus 로고    scopus 로고
    • Hierarchical gradient parameter estimation algorithm for Hammerstein nonlinear systems using the key term separation principle
    • Chen HB, Xiao YS, Ding F,. Hierarchical gradient parameter estimation algorithm for Hammerstein nonlinear systems using the key term separation principle. Applied Mathematics and Computation 2014; 247: 1202-1210.
    • (2014) Applied Mathematics and Computation , vol.247 , pp. 1202-1210
    • Chen, H.B.1    Xiao, Y.S.2    Ding, F.3
  • 7
    • 85027942049 scopus 로고    scopus 로고
    • Highly efficient identification methods for dual-rate Hammerstein systems
    • Wang DQ, Liu HB, Ding F,. Highly efficient identification methods for dual-rate Hammerstein systems. IEEE Transactions on Control Systems Technology 2015; 23 (5): 1952-1960.
    • (2015) IEEE Transactions on Control Systems Technology , vol.23 , Issue.5 , pp. 1952-1960
    • Wang, D.Q.1    Liu, H.B.2    Ding, F.3
  • 9
    • 79953175193 scopus 로고    scopus 로고
    • Robust mixed H-2/H-infinity control of networked control systems with random time delays in both forward and backward communication links
    • Shi Y, Yu B,. Robust mixed H-2/H-infinity control of networked control systems with random time delays in both forward and backward communication links. Automatica 2011; 47 (4): 754-760.
    • (2011) Automatica , vol.47 , Issue.4 , pp. 754-760
    • Shi, Y.1    Yu, B.2
  • 10
  • 11
    • 84868111991 scopus 로고    scopus 로고
    • System identification of a cooling coil using recurrent neural networks
    • Kadri MB,. System identification of a cooling coil using recurrent neural networks. Arabian Journal for Science and Engineering 2012; 37 (8): 2193-2203.
    • (2012) Arabian Journal for Science and Engineering , vol.37 , Issue.8 , pp. 2193-2203
    • Kadri, M.B.1
  • 12
    • 84922882884 scopus 로고    scopus 로고
    • Improved PLS focused on key-performance-indicator-related fault diagnosis
    • Yin S, Zhu XP, Kaynak O,. Improved PLS focused on key-performance-indicator-related fault diagnosis. IEEE Transactions on Industrial Electronics 2015; 62 (3): 1651-1658.
    • (2015) IEEE Transactions on Industrial Electronics , vol.62 , Issue.3 , pp. 1651-1658
    • Yin, S.1    Zhu, X.P.2    Kaynak, O.3
  • 14
    • 84902536552 scopus 로고    scopus 로고
    • Robust PLS approach for KPI-related prediction and diagnosis against outliers and missing data
    • Yin S, Wang G, Yang X,. Robust PLS approach for KPI-related prediction and diagnosis against outliers and missing data. International Journal of Systems Science 2014; 45 (7): 1375-1382.
    • (2014) International Journal of Systems Science , vol.45 , Issue.7 , pp. 1375-1382
    • Yin, S.1    Wang, G.2    Yang, X.3
  • 15
    • 84899481774 scopus 로고    scopus 로고
    • A review on basic data-driven approaches for industrial process monitoring
    • Yin S, Ding SX, Xie XC, Luo H,. A review on basic data-driven approaches for industrial process monitoring. IEEE Transactions on Industrial Electronics 2014; 61 (11): 6418-6428.
    • (2014) IEEE Transactions on Industrial Electronics , vol.61 , Issue.11 , pp. 6418-6428
    • Yin, S.1    Ding, S.X.2    Xie, X.C.3    Luo, H.4
  • 17
    • 84887078962 scopus 로고    scopus 로고
    • Multiple model approach to nonlinear system identification with an uncertain scheduling variable using em algorithm
    • Chen L, Tulsyan A, Huang B, Liu F,. Multiple model approach to nonlinear system identification with an uncertain scheduling variable using EM algorithm. Journal of Process Control 2013; 23 (10): 1480-1496.
    • (2013) Journal of Process Control , vol.23 , Issue.10 , pp. 1480-1496
    • Chen, L.1    Tulsyan, A.2    Huang, B.3    Liu, F.4
  • 18
    • 84922470043 scopus 로고    scopus 로고
    • Recursive least squares parameter identification for systems with colored noise using the filtering technique and the auxiliary model
    • Ding F, Wang YJ, Ding J,. Recursive least squares parameter identification for systems with colored noise using the filtering technique and the auxiliary model. Digital Signal Processing 2015; 37: 100-108.
    • (2015) Digital Signal Processing , vol.37 , pp. 100-108
    • Ding, F.1    Wang, Y.J.2    Ding, J.3
  • 19
    • 84885625761 scopus 로고    scopus 로고
    • Bias-eliminating least-squares identification of errors-in-variables models with mutually correlated noises
    • Diversi R,. Bias-eliminating least-squares identification of errors-in-variables models with mutually correlated noises. International Journal of Adaptive Control and Signal Processing 2013; 27 (10): 915-924.
    • (2013) International Journal of Adaptive Control and Signal Processing , vol.27 , Issue.10 , pp. 915-924
    • Diversi, R.1
  • 20
    • 84908170460 scopus 로고    scopus 로고
    • Performance analysis of the recursive parameter estimation algorithms for multivariable Box-Jenkins systems
    • Wang XH, Ding F,. Performance analysis of the recursive parameter estimation algorithms for multivariable Box-Jenkins systems. Journal of the Franklin Institute-Engineering and Applied Mathematics 2014; 351 (10): 4749-4764.
    • (2014) Journal of the Franklin Institute - Engineering and Applied Mathematics , vol.351 , Issue.10 , pp. 4749-4764
    • Wang, X.H.1    Ding, F.2
  • 22
    • 70049093832 scopus 로고    scopus 로고
    • Multivariable system identification for integral controllability
    • Darby ML, Nikolaou M,. Multivariable system identification for integral controllability. Automatica 2009; 45 (10): 2194-2204.
    • (2009) Automatica , vol.45 , Issue.10 , pp. 2194-2204
    • Darby, M.L.1    Nikolaou, M.2
  • 23
    • 84897656090 scopus 로고    scopus 로고
    • Multivariable optimal control of HVDC transmission links with network parameter estimation for weak grids
    • Beccuti G, Papafotiou G, Harnefors L,. Multivariable optimal control of HVDC transmission links with network parameter estimation for weak grids. IEEE Transactions on Control Systems Technology 2014; 22 (2): 676-689.
    • (2014) IEEE Transactions on Control Systems Technology , vol.22 , Issue.2 , pp. 676-689
    • Beccuti, G.1    Papafotiou, G.2    Harnefors, L.3
  • 25
    • 0034329750 scopus 로고    scopus 로고
    • Modelling and adaptive control strategy in a lactic fermentation process
    • Ben Youssef C, Guillou V, Olmos-Dichara A,. Modelling and adaptive control strategy in a lactic fermentation process. Control Engineering Practice 2000; 8 (11): 1297-1307.
    • (2000) Control Engineering Practice , vol.8 , Issue.11 , pp. 1297-1307
    • Ben Youssef, C.1    Guillou, V.2    Olmos-Dichara, A.3
  • 26
    • 0026173359 scopus 로고
    • Multivariable generalized predictive control of a boiler system
    • Hogg BW, Elrabaie NM,. Multivariable generalized predictive control of a boiler system. IEEE Transactions on Energy Conversion 1991; 6 (2): 282-288.
    • (1991) IEEE Transactions on Energy Conversion , vol.6 , Issue.2 , pp. 282-288
    • Hogg, B.W.1    Elrabaie, N.M.2
  • 27
    • 0034661135 scopus 로고    scopus 로고
    • A nonlinear soft sensor based on multivariate smoothing procedure for quality estimation in distillation columns
    • Park S, Han CH,. A nonlinear soft sensor based on multivariate smoothing procedure for quality estimation in distillation columns. Computers & Chemical Engineering 2002; 24 (2-7): 871-877.
    • (2002) Computers & Chemical Engineering , vol.24 , Issue.27 , pp. 871-877
    • Park, S.1    Han, C.H.2
  • 28
    • 84896357792 scopus 로고    scopus 로고
    • A genetic-multivariable fractional order PID control to multi-input multi-output processes
    • Moradi M., A genetic-multivariable fractional order PID control to multi-input multi-output processes. Journal of Process Control 2014; 24 (4): 336-343.
    • (2014) Journal of Process Control , vol.24 , Issue.4 , pp. 336-343
    • Moradi, M.1
  • 29
    • 84930646004 scopus 로고    scopus 로고
    • Multivariable PID control using improved state space model predictive control optimization
    • Wu S,. Multivariable PID control using improved state space model predictive control optimization. Industrial & Engineering Chemistry Research 2015; 54 (20): 5505-5513.
    • (2015) Industrial & Engineering Chemistry Research , vol.54 , Issue.20 , pp. 5505-5513
    • Wu, S.1
  • 30
    • 84871924319 scopus 로고    scopus 로고
    • Novel system identification method and multi-objective-optimal multivariable disturbance observer for electric wheelchair
    • Saadatzi MN, Poshtan J, Saadatzi MS, Tafazzoli F,. Novel system identification method and multi-objective-optimal multivariable disturbance observer for electric wheelchair. ISA Transactions 2013; 52 (1): 129-139.
    • (2013) ISA Transactions , vol.52 , Issue.1 , pp. 129-139
    • Saadatzi, M.N.1    Poshtan, J.2    Saadatzi, M.S.3    Tafazzoli, F.4
  • 31
    • 84907556186 scopus 로고    scopus 로고
    • State filtering and parameter estimation for linear systems with d-step state-delay
    • Gu Y, Ding F, Li JH,. State filtering and parameter estimation for linear systems with d-step state-delay. IET Signal Processing 2014; 8 (6): 639-646.
    • (2014) IET Signal Processing , vol.8 , Issue.6 , pp. 639-646
    • Gu, Y.1    Ding, F.2    Li, J.H.3
  • 32
    • 0020790966 scopus 로고
    • Optimal instrumental variable estimation and approximate implementations
    • Stoica P, Söderström T,. Optimal instrumental variable estimation and approximate implementations. IEEE Transactions on Automatic Control 1983; 28 (7): 757-772.
    • (1983) IEEE Transactions on Automatic Control , vol.28 , Issue.7 , pp. 757-772
    • Stoica, P.1    Söderström, T.2
  • 35
    • 0026220957 scopus 로고
    • Robust identification of stochastic linear systems with correlated noise
    • Feng CB, Zheng WX,. Robust identification of stochastic linear systems with correlated noise. IEE Proeedings-D Control Theory and Applications 1991; 138 (8): 484-492.
    • (1991) IEE Proeedings-D Control Theory and Applications , vol.138 , Issue.8 , pp. 484-492
    • Feng, C.B.1    Zheng, W.X.2
  • 36
    • 0026218830 scopus 로고
    • Recursive identification and adaptive prediction in linear stochastic systems
    • Lai TL, Ying Z,. Recursive identification and adaptive prediction in linear stochastic systems. SIAM Journal on Control and Optimization 1991; 29 (5): 1061-1090.
    • (1991) SIAM Journal on Control and Optimization , vol.29 , Issue.5 , pp. 1061-1090
    • Lai, T.L.1    Ying, Z.2
  • 37
    • 84868456442 scopus 로고    scopus 로고
    • Convergence properties of the least squares estimation algorithm for multivariable systems
    • Liu YJ, Ding F,. Convergence properties of the least squares estimation algorithm for multivariable systems. Applied Mathematical Modelling 2013; 37 (1-2): 476-483.
    • (2013) Applied Mathematical Modelling , vol.37 , Issue.12 , pp. 476-483
    • Liu, Y.J.1    Ding, F.2
  • 38
    • 84868198665 scopus 로고    scopus 로고
    • Performance analysis of the auxiliary model-based stochastic gradient parameter estimation algorithm for state-space systems with one-step state delay
    • Ding F, Gu Y,. Performance analysis of the auxiliary model-based stochastic gradient parameter estimation algorithm for state-space systems with one-step state delay. Circuits, Systems and Signal Processing 2013; 32 (2): 585-599.
    • (2013) Circuits, Systems and Signal Processing , vol.32 , Issue.2 , pp. 585-599
    • Ding, F.1    Gu, Y.2
  • 39
    • 84875381260 scopus 로고    scopus 로고
    • Coupled-least-squares identification for multivariable systems
    • Ding F,. Coupled-least-squares identification for multivariable systems. IET Control Theory and Applications 2013; 7 (1): 68-79.
    • (2013) IET Control Theory and Applications , vol.7 , Issue.1 , pp. 68-79
    • Ding, F.1
  • 40
    • 84884499736 scopus 로고    scopus 로고
    • Consistency of the extended gradient identification algorithm for multi-input multi-output systems with moving average noises
    • Liu YJ, Ding R,. Consistency of the extended gradient identification algorithm for multi-input multi-output systems with moving average noises. International Journal of Computer Mathematics 2013; 90 (9): 1840-1852.
    • (2013) International Journal of Computer Mathematics , vol.90 , Issue.9 , pp. 1840-1852
    • Liu, Y.J.1    Ding, R.2
  • 41
    • 84900556855 scopus 로고    scopus 로고
    • Modified subspace identification for periodically non-uniformly sampled systems by using the lifting technique
    • Ding J, Lin JX,. Modified subspace identification for periodically non-uniformly sampled systems by using the lifting technique. Circuits, Systems and Signal Processing 2014; 33 (5): 1439-1449.
    • (2014) Circuits, Systems and Signal Processing , vol.33 , Issue.5 , pp. 1439-1449
    • Ding, J.1    Lin, J.X.2
  • 42
    • 84935890800 scopus 로고    scopus 로고
    • Recursive parameter and state estimation for an input nonlinear state space system using the hierarchical identification principle
    • Wang XH, Ding F,. Recursive parameter and state estimation for an input nonlinear state space system using the hierarchical identification principle. Signal Processing 2015; 117: 208-218.
    • (2015) Signal Processing , vol.117 , pp. 208-218
    • Wang, X.H.1    Ding, F.2
  • 43
    • 84897710253 scopus 로고    scopus 로고
    • Recursive extended least squares parameter estimation for Wiener nonlinear systems with moving average noises
    • Hu YB, Liu BL, Zhou Q, Yang C,. Recursive extended least squares parameter estimation for Wiener nonlinear systems with moving average noises. Circuits, Systems and Signal Processing 2014; 33 (2): 655-664.
    • (2014) Circuits, Systems and Signal Processing , vol.33 , Issue.2 , pp. 655-664
    • Hu, Y.B.1    Liu, B.L.2    Zhou, Q.3    Yang, C.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.