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Volumn 128, Issue , 2016, Pages 212-221

The auxiliary model based hierarchical gradient algorithms and convergence analysis using the filtering technique

Author keywords

Convergence analysis; Filtering; Gradient search; Hierarchical principle; Parameter estimation

Indexed keywords

ALGORITHMS; FILTRATION; IDENTIFICATION (CONTROL SYSTEMS); MULTIVARIABLE CONTROL SYSTEMS; MULTIVARIABLE SYSTEMS; RANDOM PROCESSES; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

EID: 84964622008     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2016.03.027     Document Type: Article
Times cited : (62)

References (42)
  • 1
    • 84866369062 scopus 로고    scopus 로고
    • State estimation for linear scalar dynamic systems with additive cauchy noises: Characteristic function approach
    • M. Idan, and J.L. Speyer State estimation for linear scalar dynamic systems with additive cauchy noises: characteristic function approach SIAM J. Control Optim. 50 4 2012 1971 1994
    • (2012) SIAM J. Control Optim. , vol.50 , Issue.4 , pp. 1971-1994
    • Idan, M.1    Speyer, J.L.2
  • 2
    • 33847139805 scopus 로고    scopus 로고
    • Some further results on blind identification of MIMO FIR channels via second-order statistics
    • J. Fang, A.R. Leyman, Y.H. Chew, and H.P. Duan Some further results on blind identification of MIMO FIR channels via second-order statistics Signal Process. 87 6 2007 1434 1447
    • (2007) Signal Process. , vol.87 , Issue.6 , pp. 1434-1447
    • Fang, J.1    Leyman, A.R.2    Chew, Y.H.3    Duan, H.P.4
  • 3
    • 84876117248 scopus 로고    scopus 로고
    • Distributed linear parameter estimation: Asymptotically efficient adaptive strategies
    • S. Kar, J.M.F. Moura, and H.V. Poor Distributed linear parameter estimation: asymptotically efficient adaptive strategies SIAM J. Control Optim. 51 3 2013 2200 2229
    • (2013) SIAM J. Control Optim. , vol.51 , Issue.3 , pp. 2200-2229
    • Kar, S.1    Moura, J.M.F.2    Poor, H.V.3
  • 4
    • 54249153250 scopus 로고    scopus 로고
    • L-2 and l-infnity filtering for multirate systems using lifted models
    • B. Yu, Y. Shi, and H. Huang l-2 and l-infnity filtering for multirate systems using lifted models Circuits Syst. Signal Process. 27 5 2008 699 711
    • (2008) Circuits Syst. Signal Process. , vol.27 , Issue.5 , pp. 699-711
    • Yu, B.1    Shi, Y.2    Huang, H.3
  • 5
    • 77954175705 scopus 로고    scopus 로고
    • Signal frequency and parameter estimation for power systems using the hierarchical identification principle
    • Y.N. Cao, and Z.Q. Liu Signal frequency and parameter estimation for power systems using the hierarchical identification principle Math. Comput. Model. 51 5-6 2010 854 861
    • (2010) Math. Comput. Model. , vol.51 , Issue.5-6 , pp. 854-861
    • Cao, Y.N.1    Liu, Z.Q.2
  • 6
    • 84921367227 scopus 로고    scopus 로고
    • Gaussian message passing-based cooperative localization on factor graph in wireless networks
    • B. Li, N. Wu, and et al. Gaussian message passing-based cooperative localization on factor graph in wireless networks Signal Process. 111 2015 1 12
    • (2015) Signal Process. , vol.111 , pp. 1-12
    • Li, B.1    Wu, N.2
  • 7
    • 67949088087 scopus 로고    scopus 로고
    • Output feedback stabilization of networked control systems with random delays modeled by Markov chains
    • Y. Shi, and B. Yu Output feedback stabilization of networked control systems with random delays modeled by Markov chains IEEE Trans. Autom. Control 54 7 2009 1668 1674
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.7 , pp. 1668-1674
    • Shi, Y.1    Yu, B.2
  • 8
    • 16244397443 scopus 로고    scopus 로고
    • Hierarchical least squares identification methods for multivariable systems
    • F. Ding, and T. Chen Hierarchical least squares identification methods for multivariable systems IEEE Trans. Autom. Control 50 3 2005 397 402
    • (2005) IEEE Trans. Autom. Control , vol.50 , Issue.3 , pp. 397-402
    • Ding, F.1    Chen, T.2
  • 9
    • 22144434326 scopus 로고    scopus 로고
    • Hierarchical gradient-based identification of multivariable discrete-time systems
    • F. Ding, and T. Chen Hierarchical gradient-based identification of multivariable discrete-time systems Automatica 41 2 2005 315 325
    • (2005) Automatica , vol.41 , Issue.2 , pp. 315-325
    • Ding, F.1    Chen, T.2
  • 10
    • 84957031722 scopus 로고    scopus 로고
    • Hierarchical parameter estimation for a class of MIMO Hammerstein systems based on the reframed models
    • D.Q. Wang Hierarchical parameter estimation for a class of MIMO Hammerstein systems based on the reframed models Appl. Math. Lett. 57 2016 13 19
    • (2016) Appl. Math. Lett. , vol.57 , pp. 13-19
    • Wang, D.Q.1
  • 11
    • 84929340799 scopus 로고    scopus 로고
    • Recursive identification of multivariable ARX models in the presence of a priori information: Robustness and regularization
    • V.Z. Filipovic Recursive identification of multivariable ARX models in the presence of a priori information: robustness and regularization Signal Process. 116 2015 68 77
    • (2015) Signal Process. , vol.116 , pp. 68-77
    • Filipovic, V.Z.1
  • 12
    • 33846244532 scopus 로고    scopus 로고
    • Recursive robust least squares estimator for time-varying linear systems with a noise corrupted measurement matrix
    • W.S. Ra, T.H. Whang, J.Y. Ahn, and J.B. Park Recursive robust least squares estimator for time-varying linear systems with a noise corrupted measurement matrix IET Control Theory Appl. 1 1 2007 104 112
    • (2007) IET Control Theory Appl. , vol.1 , Issue.1 , pp. 104-112
    • Ra, W.S.1    Whang, T.H.2    Ahn, J.Y.3    Park, J.B.4
  • 13
    • 85014403577 scopus 로고    scopus 로고
    • Recursive maximum likelihood identification method for a multivariable controlled autoregressive moving average system
    • D.Q. Wang, Y.P. Gao, Recursive maximum likelihood identification method for a multivariable controlled autoregressive moving average system, IMA J. Math. Control Inf., 2015, http://dx.doi.org/10.1093/imamci/dnv021.
    • (2015) IMA J. Math. Control Inf.
    • Wang, D.Q.1    Gao, Y.P.2
  • 14
    • 84858149529 scopus 로고    scopus 로고
    • Accuracy of linear multiple-input multiple-output (MIMO) models obtained by maximum likelihood estimation
    • J.C. Agueero, C.R. Rojas, H. Hjalmarsson, and G.C. Goodwin Accuracy of linear multiple-input multiple-output (MIMO) models obtained by maximum likelihood estimation Automatica 48 4 2012 632 637
    • (2012) Automatica , vol.48 , Issue.4 , pp. 632-637
    • Agueero, J.C.1    Rojas, C.R.2    Hjalmarsson, H.3    Goodwin, G.C.4
  • 15
    • 84892774077 scopus 로고    scopus 로고
    • Subspace-based spectrum estimation in frequency-domain by regularized nuclear norm minimization
    • H. Akcay Subspace-based spectrum estimation in frequency-domain by regularized nuclear norm minimization Signal Process. 99 2014 69 85
    • (2014) Signal Process. , vol.99 , pp. 69-85
    • Akcay, H.1
  • 16
    • 58349089713 scopus 로고    scopus 로고
    • Subspace identification of bilinear and LPV systems for open- and closed-loop data
    • J.W. Van Wingerden, and M. Verhaegen Subspace identification of bilinear and LPV systems for open- and closed-loop data Automatica 45 2 2009 372 381
    • (2009) Automatica , vol.45 , Issue.2 , pp. 372-381
    • Van Wingerden, J.W.1    Verhaegen, M.2
  • 17
    • 84935890800 scopus 로고    scopus 로고
    • Recursive parameter and state estimation for an input nonlinear state space system using the hierarchical identification principle
    • X.H. Wang, and F. Ding Recursive parameter and state estimation for an input nonlinear state space system using the hierarchical identification principle Signal Process. 117 2015 208 218
    • (2015) Signal Process. , vol.117 , pp. 208-218
    • Wang, X.H.1    Ding, F.2
  • 18
    • 85027942049 scopus 로고    scopus 로고
    • Highly efficient identification methods for dual-rate Hammerstein systems
    • D.Q. Wang, H.B. Liu, and et al. Highly efficient identification methods for dual-rate Hammerstein systems IEEE Trans. Control Syst. Tech. 23 5 2015 1952 1960
    • (2015) IEEE Trans. Control Syst. Tech. , vol.23 , Issue.5 , pp. 1952-1960
    • Wang, D.Q.1    Liu, H.B.2
  • 19
    • 84969796308 scopus 로고    scopus 로고
    • The filtering based iterative identification for multivariable systems
    • Y.J. Wang, and F. Ding The filtering based iterative identification for multivariable systems IET Control Theory Appl. 10 2016 10.1049/iet-cta.2015.1195
    • (2016) IET Control Theory Appl. , vol.10
    • Wang, Y.J.1    Ding, F.2
  • 20
    • 84937631497 scopus 로고    scopus 로고
    • Auxiliary model method for transfer function estimation from noisy input and output data
    • Y. Zhang, Z. Zhao, and G.M. Cui Auxiliary model method for transfer function estimation from noisy input and output data Appl. Math. Model. 39 15 2015 4257 4265
    • (2015) Appl. Math. Model. , vol.39 , Issue.15 , pp. 4257-4265
    • Zhang, Y.1    Zhao, Z.2    Cui, G.M.3
  • 21
    • 84959564700 scopus 로고    scopus 로고
    • The recursive least squares identification algorithm for a class of Wiener nonlinear systems
    • F. Ding, X.M. Liu, and M.M. Liu The recursive least squares identification algorithm for a class of Wiener nonlinear systems J. Frankl. Inst. 353 7 2016 1518 1526
    • (2016) J. Frankl. Inst. , vol.353 , Issue.7 , pp. 1518-1526
    • Ding, F.1    Liu, X.M.2    Liu, M.M.3
  • 22
    • 74149086591 scopus 로고    scopus 로고
    • Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model
    • Y.J. Liu, Y.S. Xiao, and X.L. Zhao Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model Appl. Math. Comput. 215 4 2009 1477 1483
    • (2009) Appl. Math. Comput. , vol.215 , Issue.4 , pp. 1477-1483
    • Liu, Y.J.1    Xiao, Y.S.2    Zhao, X.L.3
  • 23
    • 84945893659 scopus 로고    scopus 로고
    • Improved least squares identification algorithm for multivariable Hammerstein systems
    • D.Q. Wang, and W. Zhang Improved least squares identification algorithm for multivariable Hammerstein systems J. Frankl. Inst. 352 11 2015 5292 5370
    • (2015) J. Frankl. Inst. , vol.352 , Issue.11 , pp. 5292-5370
    • Wang, D.Q.1    Zhang, W.2
  • 24
    • 84905113518 scopus 로고    scopus 로고
    • Identification of multivariable nonlinear systems in the presence of colored noises using iterative hierarchical least squares algorithm
    • M. Jafari, M. Salimifard, and M. Dehghani Identification of multivariable nonlinear systems in the presence of colored noises using iterative hierarchical least squares algorithm ISA Trans. 53 4 2014 1243 1252
    • (2014) ISA Trans. , vol.53 , Issue.4 , pp. 1243-1252
    • Jafari, M.1    Salimifard, M.2    Dehghani, M.3
  • 25
    • 84959020159 scopus 로고    scopus 로고
    • Kalman state filtering based least squares iterative parameter estimation for observer canonical state space systems using decomposition
    • F. Ding, X.M. Liu, and X.Y. Ma Kalman state filtering based least squares iterative parameter estimation for observer canonical state space systems using decomposition J. Comput. Appl. Math. 301 2016 135 143
    • (2016) J. Comput. Appl. Math. , vol.301 , pp. 135-143
    • Ding, F.1    Liu, X.M.2    Ma, X.Y.3
  • 26
    • 78650265249 scopus 로고    scopus 로고
    • Bias compensation methods for stochastic systems with colored noise
    • Y. Zhang, and G.M. Cui Bias compensation methods for stochastic systems with colored noise Appl. Math. Model. 35 4 2011 1709 1716
    • (2011) Appl. Math. Model. , vol.35 , Issue.4 , pp. 1709-1716
    • Zhang, Y.1    Cui, G.M.2
  • 27
    • 85033399534 scopus 로고    scopus 로고
    • Iterative estimation for a nonlinear IIR filter with moving average noise by means of the data filtering technique
    • Y.J. Wang, F. Ding, Iterative estimation for a nonlinear IIR filter with moving average noise by means of the data filtering technique, IMA J. Math. Control Inf. (2016). http://dx.doi.org/10.1093/imamci/dnv067.
    • (2016) IMA J. Math. Control Inf.
    • Wang, Y.J.1    Ding, F.2
  • 28
    • 84905122934 scopus 로고    scopus 로고
    • Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique
    • C. Wang, and T. Tang Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique Nonlinear Dyn. 77 2014 769 780
    • (2014) Nonlinear Dyn. , vol.77 , pp. 769-780
    • Wang, C.1    Tang, T.2
  • 29
    • 84957044111 scopus 로고    scopus 로고
    • An auxiliary model based least squares algorithm for a dual-rate state space system with time-delay using the data filtering
    • F. Ding, X.M. Liu, and Y. Gu An auxiliary model based least squares algorithm for a dual-rate state space system with time-delay using the data filtering J. Frankl. Inst. 353 2 2016 398 408
    • (2016) J. Frankl. Inst. , vol.353 , Issue.2 , pp. 398-408
    • Ding, F.1    Liu, X.M.2    Gu, Y.3
  • 30
    • 84355166653 scopus 로고    scopus 로고
    • Robust H-infty filtering for nonlinear stochastic systems with uncertainties and random delays modeled by Markov chains
    • H. Li, and Y. Shi Robust H-infty filtering for nonlinear stochastic systems with uncertainties and random delays modeled by Markov chains Automatica 48 1 2012 159 166
    • (2012) Automatica , vol.48 , Issue.1 , pp. 159-166
    • Li, H.1    Shi, Y.2
  • 31
    • 84954364707 scopus 로고    scopus 로고
    • Robust Kalman filtering for nonlinear multivariable stochastic systems in the presence of non-Gaussian noise
    • V. Stojanovic, and N. Nedic Robust Kalman filtering for nonlinear multivariable stochastic systems in the presence of non-Gaussian noise Int. J. Robust Nonlinear Control 26 3 2016 445 460
    • (2016) Int. J. Robust Nonlinear Control , vol.26 , Issue.3 , pp. 445-460
    • Stojanovic, V.1    Nedic, N.2
  • 32
    • 84979986951 scopus 로고    scopus 로고
    • Joint state and parameter robust estimation of stochastic nonlinear systems
    • V. Stojanovic, N. Nedic, Joint state and parameter robust estimation of stochastic nonlinear systems, Int. J. Robust Nonlinear Control, (2015). http://dx.doi.org/10.1002/rnc.3490.
    • (2015) Int. J. Robust Nonlinear Control
    • Stojanovic, V.1    Nedic, N.2
  • 34
    • 0018713826 scopus 로고
    • The convergence of AML
    • V. Solo The convergence of AML IEEE Trans. Autom. Control 24 6 1979 958 962
    • (1979) IEEE Trans. Autom. Control , vol.24 , Issue.6 , pp. 958-962
    • Solo, V.1
  • 35
    • 84949293739 scopus 로고    scopus 로고
    • Convergence of the recursive identification algorithms for multivariate pseudo-linear regressive systems
    • X.H. Wang, and F. Ding Convergence of the recursive identification algorithms for multivariate pseudo-linear regressive systems Int. J. Adaptive Control Signal Process. 30 2016 10.1002/acs.2642
    • (2016) Int. J. Adaptive Control Signal Process. , vol.30
    • Wang, X.H.1    Ding, F.2
  • 36
    • 84979608694 scopus 로고    scopus 로고
    • Recursive least squares parameter estimation for a class of output nonlinear systems based on the model decomposition
    • F. Ding, X.H. Wang, Q.J. Chen, and Y.S. Xiao Recursive least squares parameter estimation for a class of output nonlinear systems based on the model decomposition Circuits Syst. Signal Process. 35 2016 10.1007/s00034-015-0190-6
    • (2016) Circuits Syst. Signal Process. , vol.35
    • Ding, F.1    Wang, X.H.2    Chen, Q.J.3    Xiao, Y.S.4
  • 37
    • 84930941995 scopus 로고    scopus 로고
    • Event-based H-infinity filter design for a class of nonlinear time-varying systems with fading channels and multiplicative noises
    • H.L. Dong, Z.D. Wang, and et al. Event-based H-infinity filter design for a class of nonlinear time-varying systems with fading channels and multiplicative noises IEEE Trans. Signal Process. 63 13 2015 3387 3395
    • (2015) IEEE Trans. Signal Process. , vol.63 , Issue.13 , pp. 3387-3395
    • Dong, H.L.1    Wang, Z.D.2
  • 38
    • 84950327377 scopus 로고    scopus 로고
    • The model equivalence based parameter estimation methods for Box-Jenkins systems
    • F. Ding, D.D. Meng, and Q. Wang The model equivalence based parameter estimation methods for Box-Jenkins systems J. Frankl. Inst. 352 12 2015 5473 5485
    • (2015) J. Frankl. Inst. , vol.352 , Issue.12 , pp. 5473-5485
    • Ding, F.1    Meng, D.D.2    Wang, Q.3
  • 39
    • 84928810630 scopus 로고    scopus 로고
    • Application of the Newton iteration algorithm to the parameter estimation for dynamical systems
    • L. Xu Application of the Newton iteration algorithm to the parameter estimation for dynamical systems J. Comput. Appl. Math. 288 2015 33 43
    • (2015) J. Comput. Appl. Math. , vol.288 , pp. 33-43
    • Xu, L.1
  • 40
    • 84925521691 scopus 로고    scopus 로고
    • Parameter estimation and controller design for dynamic systems from the step responses based on the Newton iteration
    • L. Xu, L. Chen, and W.L. Xiong Parameter estimation and controller design for dynamic systems from the step responses based on the Newton iteration Nonlinear Dyn. 79 3 2015 2155 2163
    • (2015) Nonlinear Dyn. , vol.79 , Issue.3 , pp. 2155-2163
    • Xu, L.1    Chen, L.2    Xiong, W.L.3
  • 41
    • 84947087879 scopus 로고    scopus 로고
    • The damping iterative parameter identification method for dynamical systems based on the sine signal measurement
    • L. Xu The damping iterative parameter identification method for dynamical systems based on the sine signal measurement Signal Process. 120 2016 660 667
    • (2016) Signal Process. , vol.120 , pp. 660-667
    • Xu, L.1
  • 42
    • 84925478711 scopus 로고    scopus 로고
    • Unified synchronization criteria for hybrid switching-impulsive dynamical networks
    • Y. Ji, and X.M. Liu Unified synchronization criteria for hybrid switching-impulsive dynamical networks Circuits Syst. Signal Process. 34 5 2015 1499 1517
    • (2015) Circuits Syst. Signal Process. , vol.34 , Issue.5 , pp. 1499-1517
    • Ji, Y.1    Liu, X.M.2


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