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Volumn 7, Issue 1, 2013, Pages 68-79

Coupled-least-squares identification for multivariable systems

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE THEOREM; IDENTIFICATION PROBLEM; MATRIX INVERSIONS; MULTI-INPUT MULTI-OUTPUT SYSTEMS; MULTIPLE LINEAR REGRESSION MODELS; PARAMETER ESTIMATE; PARAMETER IDENTIFICATION ALGORITHMS; RECURSIVE LEAST SQUARES ALGORITHMS;

EID: 84875381260     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2012.0171     Document Type: Article
Times cited : (245)

References (52)
  • 1
    • 47549108847 scopus 로고    scopus 로고
    • Robust discrete-time sliding mode control for uncertain systems with time-varying state delay
    • Yan, M., Shi, Y.: 'Robust discrete-time sliding mode control for uncertain systems with time-varying state delay', IET Control Theory Appl., 2008, 2, (8), pp. 662-674
    • (2008) IET Control Theory Appl. , vol.2 , Issue.8 , pp. 662-674
    • Yan, M.1    Shi, Y.2
  • 2
    • 67949088087 scopus 로고    scopus 로고
    • Output feedback stabilization of networked control systems with random delays modeled by Markov chains
    • Shi, Y., Yu, B.: 'Output feedback stabilization of networked control systems with random delays modeled by Markov chains', IEEE Trans. Autom. Control, 2009, 54, (7), pp. 1668-1674
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.7 , pp. 1668-1674
    • Shi, Y.1    Yu, B.2
  • 3
    • 77951141155 scopus 로고    scopus 로고
    • Kalman filter based identification for systems with randomly missing measurements in a network environment
    • Shi, Y., Fang, H.: 'Kalman filter based identification for systems with randomly missing measurements in a network environment', Int. J. Control, 2010, 83, (3), pp. 538-551
    • (2010) Int. J. Control , vol.83 , Issue.3 , pp. 538-551
    • Shi, Y.1    Fang, H.2
  • 4
    • 16344391042 scopus 로고    scopus 로고
    • Performance bounds of the forgetting factor least squares algorithm for time-varying systems with finite measurement data
    • Ding, F., Chen, T.: 'Performance bounds of the forgetting factor least squares algorithm for time-varying systems with finite measurement data', IEEE Trans. Circuits Syst. I, Regul. Pap., 2005, 52, (3), pp. 555-566
    • (2005) IEEE Trans. Circuits Syst. I, Regul. Pap. , vol.52 , Issue.3 , pp. 555-566
    • Ding, F.1    Chen, T.2
  • 5
    • 22144498905 scopus 로고    scopus 로고
    • Hierarchical identification of lifted state-space models for general dual-rate systems
    • Ding, F., Chen, T.: 'Hierarchical identification of lifted state-space models for general dual-rate systems', IEEE Trans. Circuits Syst. I, Regul. Pap., 2005, 52, (6), pp. 1179-1187
    • (2005) IEEE Trans. Circuits Syst. I, Regul. Pap. , vol.52 , Issue.6 , pp. 1179-1187
    • Ding, F.1    Chen, T.2
  • 6
    • 79957502581 scopus 로고    scopus 로고
    • Identification of continuous-time state-space models from non-uniform fast-sampled data
    • Yuz, J.I., Alfaro, J., Agüero, J.C., Gooodwin, G.C.: 'Identification of continuous-time state-space models from non-uniform fast-sampled data', IET Control Theory Appl., 2011, 5, (7), pp. 842-855
    • (2011) IET Control Theory Appl. , vol.5 , Issue.7 , pp. 842-855
    • Yuz, J.I.1    Alfaro, J.2    Agüero, J.C.3    Gooodwin, G.C.4
  • 7
    • 79551692604 scopus 로고    scopus 로고
    • Multimodel-based techniques for the identification and adaptive control of delayed multi-input multi-output systems
    • Herrera, J., Ibeas, A., Alcántara, S., Sen, M.D.L.: 'Multimodel-based techniques for the identification and adaptive control of delayed multi-input multi-output systems', IET Control Theory Appl., 2011, 5, (1), pp. 188-202
    • (2011) IET Control Theory Appl. , vol.5 , Issue.1 , pp. 188-202
    • Herrera, J.1    Ibeas, A.2    Alcántara, S.3    Sen, M.D.L.4
  • 8
    • 84863116493 scopus 로고    scopus 로고
    • Least squares-based recursive and iterative estimation for output error moving average systems using data filtering
    • Wang, D.Q.: 'Least squares-based recursive and iterative estimation for output error moving average systems using data filtering', IET Control Theory Appl., 2011, 5, (14), pp. 1648-1657
    • (2011) IET Control Theory Appl. , vol.5 , Issue.14 , pp. 1648-1657
    • Wang, D.Q.1
  • 9
    • 77954174920 scopus 로고    scopus 로고
    • Modeling and identification for non-uniformly periodically sampled-data systems
    • Xie, L., Liu, Y.J., Yang, H.Z., et al.: 'Modeling and identification for non-uniformly periodically sampled-data systems', IET Control Theory Appl., 2010, 4, (5), pp. 784-794
    • (2010) IET Control Theory Appl. , vol.4 , Issue.5 , pp. 784-794
    • Xie, L.1    Liu, Y.J.2    Yang, H.Z.3
  • 10
    • 84857746224 scopus 로고    scopus 로고
    • How nonlinear parametricWiener system identification Is under Gaussian inputs?
    • Bai, E., Cai, Z.: 'How nonlinear parametricWiener system identification Is under Gaussian inputs? IEEE Trans. Autom. Control, 2012, 57, (3), pp. 738-742
    • (2012) IEEE Trans. Autom. Control , vol.57 , Issue.3 , pp. 738-742
    • Bai, E.1    Cai, Z.2
  • 11
    • 80455150117 scopus 로고    scopus 로고
    • Hierarchical least squares identification for linear SISO systems with dual-rate sampled-data
    • Ding, J., Ding, F., Liu, X.P., et al.: 'Hierarchical least squares identification for linear SISO systems with dual-rate sampled-data', IEEE Trans. Autom. Control, 2011, 56, (11), pp. 2677-2683
    • (2011) IEEE Trans. Autom. Control , vol.56 , Issue.11 , pp. 2677-2683
    • Ding, J.1    Ding, F.2    Liu, X.P.3
  • 12
    • 79960909973 scopus 로고    scopus 로고
    • Parameterization and identification of multivariable state-space systems: A canonical approach
    • Mercére, G., Bako, L.: 'Parameterization and identification of multivariable state-space systems: a canonical approach', Automatica, 2011, 47, (8), pp. 1547-1555
    • (2011) Automatica , vol.47 , Issue.8 , pp. 1547-1555
    • Mercére, G.1    Bako, L.2
  • 13
    • 78650803456 scopus 로고    scopus 로고
    • System identification of nonlinear state-space models
    • Schön, T., Wills, A., Ninness, B.: 'System identification of nonlinear state-space models', Automatica, 2011, 47, (1), pp. 39-49
    • (2011) Automatica , vol.47 , Issue.1 , pp. 39-49
    • Schön, T.1    Wills, A.2    Ninness, B.3
  • 14
    • 0000258837 scopus 로고
    • Least squares estimates in stochastic regression models with applications to identification and control of dynamic systems
    • Lai, T.L., Wei, C.Z.: 'Least squares estimates in stochastic regression models with applications to identification and control of dynamic systems', Ann. Stat., 1982, 10, (1), pp. 154-166
    • (1982) Ann. Stat. , vol.10 , Issue.1 , pp. 154-166
    • Lai, T.L.1    Wei, C.Z.2
  • 15
    • 33751236756 scopus 로고    scopus 로고
    • Performance analysis of multi-innovation gradient type identification methods
    • Ding, F., Chen, T.: 'Performance analysis of multi-innovation gradient type identification methods', Automatica, 2007, 43, (1), pp. 1-14
    • (2007) Automatica , vol.43 , Issue.1 , pp. 1-14
    • Ding, F.1    Chen, T.2
  • 16
    • 67349177024 scopus 로고    scopus 로고
    • Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises
    • Ding, F., Liu, X.P., Liu, G.: 'Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises', Signal Process., 2009, 89, (10), pp. 1883-1890
    • (2009) Signal Process. , vol.89 , Issue.10 , pp. 1883-1890
    • Ding, F.1    Liu, X.P.2    Liu, G.3
  • 17
    • 80755182664 scopus 로고    scopus 로고
    • Bias compensation based parameter estimation for output error moving average systems
    • Ding, J., Ding, F.: 'Bias compensation based parameter estimation for output error moving average systems', Int. J. Adapt. Control Signal Process., 2011, 25, (12), pp. 1100-1111
    • (2011) Int. J. Adapt. Control Signal Process. , vol.25 , Issue.12 , pp. 1100-1111
    • Ding, J.1    Ding, F.2
  • 19
    • 49249128625 scopus 로고    scopus 로고
    • Performance analysis of stochastic gradient algorithms under weak conditions
    • Ding, F., Yang, H.Z., Liu, F.: 'Performance analysis of stochastic gradient algorithms under weak conditions', Sci. China Ser. F, Inf. Sci., 2008, 51, (9), pp. 1269-1280
    • (2008) Sci. China Ser. F, Inf. Sci. , vol.51 , Issue.9 , pp. 1269-1280
    • Ding, F.1    Yang, H.Z.2    Liu, F.3
  • 21
    • 84863012837 scopus 로고    scopus 로고
    • Gradient based and least squares based iterative estimation algorithms for multi-input multi-output systems
    • Ding, F., Liu, Y.J., Bao, B.: 'Gradient based and least squares based iterative estimation algorithms for multi-input multi-output systems', Proc. Inst. Mech. Eng., I, J. Syst. Control Eng., 2012, 226, (1), pp. 43-55
    • (2012) Proc. Inst. Mech. Eng., I, J. Syst. Control Eng. , vol.226 , Issue.1 , pp. 43-55
    • Ding, F.1    Liu, Y.J.2    Bao, B.3
  • 22
    • 84939362385 scopus 로고
    • Consistency of the least-squares identification method
    • Ljung, L.: 'Consistency of the least-squares identification method', IEEE Trans. Autom. Control, 1976, 21, (5), pp. 779-781
    • (1976) IEEE Trans. Autom. Control , vol.21 , Issue.5 , pp. 779-781
    • Ljung, L.1
  • 23
    • 0018713826 scopus 로고
    • The convergence of AML
    • Solo, V.: 'The Convergence of AML', IEEE Trans. Autom. Control, 1979, 24, (6), pp. 958-962
    • (1979) IEEE Trans. Autom. Control , vol.24 , Issue.6 , pp. 958-962
    • Solo, V.1
  • 24
    • 3843087260 scopus 로고    scopus 로고
    • Combined parameter and output estimation of dual-rate systems using an auxiliary model
    • Ding, F., Chen, T.: 'Combined parameter and output estimation of dual-rate systems using an auxiliary model', Automatica, 2004, 40, (10), pp. 1739-1748
    • (2004) Automatica , vol.40 , Issue.10 , pp. 1739-1748
    • Ding, F.1    Chen, T.2
  • 25
    • 0001736578 scopus 로고
    • Extended least squares and their applications to adaptive control and prediction in linear systems
    • Lai, T.L., Wei, C.Z.: 'Extended least squares and their applications to adaptive control and prediction in linear systems', IEEE Trans. Autom. Control, 1986, 31, (10), pp. 898-906
    • (1986) IEEE Trans. Autom. Control , vol.31 , Issue.10 , pp. 898-906
    • Lai, T.L.1    Wei, C.Z.2
  • 26
    • 0001732503 scopus 로고
    • Adaptive prediction by least squares prediction in stochastic regression models
    • Wei, C.Z.: 'Adaptive prediction by least squares prediction in stochastic regression models', Ann. Stat., 1987, 15, (4), pp. 1667-1682
    • (1987) Ann. Stat. , vol.15 , Issue.4 , pp. 1667-1682
    • Wei, C.Z.1
  • 27
    • 0026218830 scopus 로고
    • Recursive identification and adaptive prediction in linear stochastic systems
    • Lai, T.L., Ying, Z.L.: 'Recursive identification and adaptive prediction in linear stochastic systems', SIAM J. Control Optim., 1991, 29, (5), pp. 1061-1090
    • (1991) SIAM J. Control Optim. , vol.29 , Issue.5 , pp. 1061-1090
    • Lai, T.L.1    Ying, Z.L.2
  • 28
    • 0028369721 scopus 로고
    • On the convergence least squares estimates in white noise
    • Toussi, K., Ren, W.: 'On the convergence least squares estimates in white noise', IEEE Trans. Autom. Control, 1994, 39, (2), pp. 364-368
    • (1994) IEEE Trans. Autom. Control , vol.39 , Issue.2 , pp. 364-368
    • Toussi, K.1    Ren, W.2
  • 29
    • 0028526540 scopus 로고
    • Stochastic adaptive prediction and model reference control
    • Ren, W., Kumar, P.K.: 'Stochastic adaptive prediction and model reference control, IEEE Trans. Autom. Control, 1994, 39, (10), pp. 2047-2060
    • (1994) IEEE Trans. Autom. Control , vol.39 , Issue.10 , pp. 2047-2060
    • Ren, W.1    Kumar, P.K.2
  • 30
    • 22144434326 scopus 로고    scopus 로고
    • Hierarchical gradient-based identification of multivariable discrete-time systems
    • Ding, F., Chen, T.: 'Hierarchical gradient-based identification of multivariable discrete-time systems', Automatica, 2005, 41, (2), pp. 315-325
    • (2005) Automatica , vol.41 , Issue.2 , pp. 315-325
    • Ding, F.1    Chen, T.2
  • 31
    • 77955391352 scopus 로고    scopus 로고
    • Partially coupled stochastic gradient identification methods for non-uniformly sampled systems
    • Ding, F., Liu, G., Liu, X.: 'Partially coupled stochastic gradient identification methods for non-uniformly sampled systems', IEEE Trans. Autom. Control, 2010, 55, (8), pp. 1976-1981
    • (2010) IEEE Trans. Autom. Control , vol.55 , Issue.8 , pp. 1976-1981
    • Ding, F.1    Liu, G.2    Liu, X.3
  • 33
    • 0016942308 scopus 로고
    • On-line estimation of the parameters of a multivariable system using matrix pseudo-inverse
    • Sen, A., Sinha, N.K.: 'On-line estimation of the parameters of a multivariable system using matrix pseudo-inverse', Int. J. Syst. Sci., 1976, 7, (4), pp. 461-471
    • (1976) Int. J. Syst. Sci. , vol.7 , Issue.4 , pp. 461-471
    • Sen, A.1    Sinha, N.K.2
  • 34
    • 77950187988 scopus 로고    scopus 로고
    • Convergence of stochastic gradient estimation algorithm for multivariable ARX-like systems
    • Liu, Y.J., Sheng, J., Ding, R.F.: 'Convergence of stochastic gradient estimation algorithm for multivariable ARX-like systems', Comput. Math. Appl., 2010, 59, (8), pp. 2615-2627
    • (2010) Comput. Math. Appl. , vol.59 , Issue.8 , pp. 2615-2627
    • Liu, Y.J.1    Sheng, J.2    Ding, R.F.3
  • 35
    • 84877727690 scopus 로고    scopus 로고
    • System identification-Part H: Coupling identification concept and methods
    • Ding, F.: 'System identification-Part H: coupling identification concept and methods', J. Nanjing Univ. Inf. Sci. Technol. (Natural Science Edn.), 2012, 4, (3), pp. 193-212.
    • (2012) J. Nanjing Univ. Inf. Sci. Technol. (Natural Science Edn.) , vol.4 , Issue.3 , pp. 193-212
    • Ding, F.1
  • 36
    • 79960912040 scopus 로고    scopus 로고
    • Parameter estimation with scarce measurements
    • Ding, F., Liu, G., Liu, X.P.: 'Parameter estimation with scarce measurements', Automatica, 2011, 47, (8), pp. 1646-1655
    • (2011) Automatica , vol.47 , Issue.8 , pp. 1646-1655
    • Ding, F.1    Liu, G.2    Liu, X.P.3
  • 37
    • 0004236492 scopus 로고    scopus 로고
    • Johns Hopkins University Press, Baltimore, MD 3rd edn
    • Golub, G.H., Loan, C.F.V.: 'Matrix computations' (Johns Hopkins University Press, Baltimore, MD, 1996, 3rd edn.)
    • (1996) Matrix Computations
    • Golub, G.H.1    Loan, C.F.V.2
  • 39
    • 47049105559 scopus 로고    scopus 로고
    • On consistency of recursive least squares identification algorithms for controlled auto-regression models
    • Xiao, Y.S., Ding, F., Zhou, Y., Li, M., Dai, J.Y.: 'On consistency of recursive least squares identification algorithms for controlled auto-regression models', Appl. Math. Model., 2008, 32, (11), pp. 2207-2215.
    • (2008) Appl. Math. Model. , vol.32 , Issue.11 , pp. 2207-2215
    • Xiao, Y.S.1    Ding, F.2    Zhou, Y.3    Li, M.4    Dai, J.Y.5
  • 40
    • 74149086591 scopus 로고    scopus 로고
    • Mlti-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model
    • Liu, Y.J., Xiao, Y.S., Zhao, X.L.: 'Mlti-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model', Appl. Math. Comput., 2009, 215, (4), pp. 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
  • 41
    • 77957294731 scopus 로고    scopus 로고
    • Gradient-based iterative parameter estimation for Box-Jenkins systems
    • Wang, D.Q., Yang, G.W., Ding, R.F.: 'Gradient-based iterative parameter estimation for Box-Jenkins systems', Comput. Math. Appl., 2010, 60, (5), pp. 1200-1208
    • (2010) Comput. Math. Appl. , vol.60 , Issue.5 , pp. 1200-1208
    • Wang, D.Q.1    Yang, G.W.2    Ding, R.F.3
  • 42
    • 77954174851 scopus 로고    scopus 로고
    • Least-squares based iterative algorithms for identifying Box-Jenkins models with finite measurement data
    • Liu, Y.J., Wang, D.Q., Ding, F.: 'Least-squares based iterative algorithms for identifying Box-Jenkins models with finite measurement data', Digit. Signal Process., 2010, 20, (5), pp. 1458-1467
    • (2010) Digit. Signal Process. , vol.20 , Issue.5 , pp. 1458-1467
    • Liu, Y.J.1    Wang, D.Q.2    Ding, F.3
  • 43
    • 84865479577 scopus 로고    scopus 로고
    • Performance analysis of the auxiliary model based least squares identification algorithm for one-step state delay systems
    • Ding, F., Gu, Y.: 'Performance analysis of the auxiliary model based least squares identification algorithm for one-step state delay systems', Int. J. Comput. Math., 2012, 89, (15), pp. 2019-2028
    • (2012) Int. J. Comput. Math. , vol.89 , Issue.15 , pp. 2019-2028
    • Ding, F.1    Gu, Y.2
  • 44
    • 84872619148 scopus 로고    scopus 로고
    • Two-stage least squares based iterative estimation algorithm for CARARMA system modeling
    • Ding, F.: 'Two-stage least squares based iterative estimation algorithm for CARARMA system modeling', Appl. Math. Model., 2013, 37; http://dx.doi.org/ 10.1016/j.apm.2012.10.014
    • (2013) Appl. Math. Model. , pp. 37
    • Ding, F.1
  • 45
    • 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
    • doi: 10.1007/s00034-012-9463-5
    • 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 Syst. Signal Process., 2013, 32; doi: 10.1007/s00034-012-9463-5
    • (2013) Circuits Syst. Signal Process. , pp. 32
    • Ding, F.1    Gu, Y.2
  • 46
    • 79551472381 scopus 로고    scopus 로고
    • Identification methods for Hammerstein nonlinear systems
    • Ding, F., Liu, X.P., Liu, G.: 'Identification methods for Hammerstein nonlinear systems', Digit. Signal Process., 2011, 21, (2), pp. 215-238
    • (2011) Digit. Signal Process. , vol.21 , Issue.2 , pp. 215-238
    • Ding, F.1    Liu, X.P.2    Liu, G.3
  • 47
    • 84870248582 scopus 로고    scopus 로고
    • Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling
    • Ding, F.: 'Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling', Appl. Math. Model., 2013, 37, (4), pp. 1694-1704
    • (2013) Appl. Math. Model. , vol.37 , Issue.4 , pp. 1694-1704
    • Ding, F.1
  • 48
    • 67650315437 scopus 로고    scopus 로고
    • An auxiliary model based recursive least squares parameter estimation algorithm for non-uniformly sampled multirate systems
    • Liu, Y.J., Xie, L., et al: 'An auxiliary model based recursive least squares parameter estimation algorithm for non-uniformly sampled multirate systems', Proc. Inst. Mech. Eng. I, J. Syst. Control Eng., 2009, 223, (4), pp. 445-454
    • (2009) Proc. Inst. Mech. Eng. I, J. Syst. Control Eng. , vol.223 , Issue.4 , pp. 445-454
    • Liu, Y.J.1    Xie, L.2
  • 49
    • 58349105805 scopus 로고    scopus 로고
    • Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems
    • Ding, F., Qiu, L., Chen, T.: 'Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems', Automatica, 2009, 45, (2), pp. 324-332
    • (2009) Automatica , vol.45 , Issue.2 , pp. 324-332
    • Ding, F.1    Qiu, L.2    Chen, T.3
  • 50
    • 80755164091 scopus 로고    scopus 로고
    • Maximum likelihood least squares identification for systems with autoregressive moving average noise
    • Wang, W., Ding, F., Dai, J.Y.: 'Maximum likelihood least squares identification for systems with autoregressive moving average noise', Appl. Math. Model., 2012, 36, (5), pp. 1842-1853
    • (2012) Appl. Math. Model. , vol.36 , Issue.5 , pp. 1842-1853
    • Wang, W.1    Ding, F.2    Dai, J.Y.3
  • 51
    • 80755154802 scopus 로고    scopus 로고
    • Maximum likelihood least squares identification method for input nonlinear finite impulse response moving average systems
    • Li, J.H., Ding, F., Yang, G.W.: 'Maximum likelihood least squares identification method for input nonlinear finite impulse response moving average systems', Math. Comput. Model., 2012, 55, (3-4), pp. 442-450
    • (2012) Math. Comput. Model. , vol.55 , Issue.3-4 , pp. 442-450
    • Li, J.H.1    Ding, F.2    Yang, G.W.3
  • 52
    • 84872587309 scopus 로고    scopus 로고
    • Decomposition based fast least squares algorithm for output error systems
    • Ding, F.: 'Decomposition based fast least squares algorithm for output error systems', Signal Process., 2013, 93, http://dx.doi.org/10.1016/j.sigpro. 2012.12.013
    • (2013) Signal Process. , pp. 93
    • Ding, F.1


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