메뉴 건너뛰기




Volumn 73, Issue 1-2, 2013, Pages 1045-1054

Filtering based recursive least squares algorithm for Hammerstein FIR-MA systems

Author keywords

Filtering theory; Hammerstein system; Key term separation principle; Parameter estimation; Recursive least squares

Indexed keywords

FILTERING THEORY; FINITE-IMPULSE RESPONSE; HAMMERSTEIN SYSTEM; NOISE TRANSFER FUNCTION; PARAMETER ESTIMATION PROBLEMS; RECURSIVE LEAST SQUARE (RLS); RECURSIVE LEAST SQUARES ALGORITHMS; SEPARATION PRINCIPLE;

EID: 84879786144     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-013-0851-6     Document Type: Article
Times cited : (26)

References (57)
  • 1
    • 80755175919 scopus 로고    scopus 로고
    • Maximum likelihood stochastic gradient estimation for Hammerstein systems with colored noise based on the key term separation technique
    • 2859972 1236.93150 10.1016/j.camwa.2011.09.067
    • Li, J.H., Ding, F.: Maximum likelihood stochastic gradient estimation for Hammerstein systems with colored noise based on the key term separation technique. Comput. Math. Appl. 62(11), 4170-4177 (2011)
    • (2011) Comput. Math. Appl. , vol.62 , Issue.11 , pp. 4170-4177
    • Li, J.H.1    Ding, F.2
  • 2
    • 80755154802 scopus 로고    scopus 로고
    • Maximum likelihood least squares identification method for input nonlinear finite impulse response moving average systems
    • 2887389 1255.93147 10.1016/j.mcm.2011.08.023
    • 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. 55(3-4), 442-450 (2012)
    • (2012) Math. Comput. Model. , vol.55 , Issue.3-4 , pp. 442-450
    • Li, J.H.1    Ding, F.2    Yang, G.W.3
  • 3
    • 84865467362 scopus 로고    scopus 로고
    • An iterative least squares estimation algorithm for controlled moving average systems based on matrix decomposition
    • 2967839 1252.65105 10.1016/j.aml.2012.06.027
    • Hu, H.Y., Ding, F.: An iterative least squares estimation algorithm for controlled moving average systems based on matrix decomposition. Appl. Math. Lett. 25(12), 2332-2338 (2012)
    • (2012) Appl. Math. Lett. , vol.25 , Issue.12 , pp. 2332-2338
    • Hu, H.Y.1    Ding, F.2
  • 4
    • 3843084127 scopus 로고    scopus 로고
    • Identification of dual-rate systems based on finite impulse response models
    • 1055.93018 10.1002/acs.820
    • Ding, F., Chen, T.: Identification of dual-rate systems based on finite impulse response models. Int. J. Adapt. Control Signal Process. 18(7), 589-598 (2004)
    • (2004) Int. J. Adapt. Control Signal Process. , vol.18 , Issue.7 , pp. 589-598
    • Ding, F.1    Chen, T.2
  • 5
    • 77954349450 scopus 로고    scopus 로고
    • Parameter identification of chaotic systems using improved differential evolution algorithm
    • 2661782 1204.93034 10.1007/s11071-009-9629-2
    • Ho, W.H., Chou, J.H., Guo, C.Y.: Parameter identification of chaotic systems using improved differential evolution algorithm. Nonlinear Dyn. 61(1-2), 29-41 (2010)
    • (2010) Nonlinear Dyn. , vol.61 , Issue.1-2 , pp. 29-41
    • Ho, W.H.1    Chou, J.H.2    Guo, C.Y.3
  • 6
    • 84878554517 scopus 로고    scopus 로고
    • Gradient-based parameter estimation for input nonlinear systems with ARMA noises based on the auxiliary model
    • 10.1007/s11071-013-0758-2
    • Chen, J., Zhang, Y., Ding, R.F.: Gradient-based parameter estimation for input nonlinear systems with ARMA noises based on the auxiliary model. Nonlinear Dyn. (2013). doi: 10.1007/s11071-013-0758-2
    • (2013) Nonlinear Dyn.
    • Chen, J.1    Zhang, Y.2    Ding, R.F.3
  • 7
    • 84879783328 scopus 로고    scopus 로고
    • Multistage least squares based iterative estimation for feedback nonlinear systems with moving average noises using the hierarchical identification principle
    • 10.1007/s11071-013-0812-0
    • Hu, P.P., Ding, F.: Multistage least squares based iterative estimation for feedback nonlinear systems with moving average noises using the hierarchical identification principle. Nonlinear Dyn. (2013). doi: 10.1007/s11071-013-0812-0
    • (2013) Nonlinear Dyn.
    • Hu, P.P.1    Ding, F.2
  • 8
    • 33947142078 scopus 로고    scopus 로고
    • Parametric identification of nonlinear systems using multiple trials
    • 1177.93031 10.1007/s11071-006-9085-1
    • Narayanan, M.D., Narayanan, S., Padmanabhan, C.: Parametric identification of nonlinear systems using multiple trials. Nonlinear Dyn. 48(4), 341-360 (2007)
    • (2007) Nonlinear Dyn. , vol.48 , Issue.4 , pp. 341-360
    • Narayanan, M.D.1    Narayanan, S.2    Padmanabhan, C.3
  • 9
    • 17444432266 scopus 로고    scopus 로고
    • Identification of nonlinear aeroelastic systems based on the Volterra theory: Progress and opportunities
    • 1104.70014 10.1007/s11071-005-1907-z
    • Silva, W.: Identification of nonlinear aeroelastic systems based on the Volterra theory: progress and opportunities. Nonlinear Dyn. 39(1-2), 25-62 (2005)
    • (2005) Nonlinear Dyn. , vol.39 , Issue.1-2 , pp. 25-62
    • Silva, W.1
  • 10
    • 84861796441 scopus 로고    scopus 로고
    • Fourth-order variants of Newton's method without second derivatives for solving non-linear equations
    • 10.1108/02644401211227590
    • Dehghan, M., Hajarian, M.: Fourth-order variants of Newton's method without second derivatives for solving non-linear equations. Eng. Comput. 29(4), 356-365 (2012)
    • (2012) Eng. Comput. , vol.29 , Issue.4 , pp. 356-365
    • Dehghan, M.1    Hajarian, M.2
  • 11
    • 84863817689 scopus 로고    scopus 로고
    • Iterative algorithms for the generalized centro-symmetric and central anti-symmetric solutions of general coupled matrix equations
    • 10.1108/02644401211235870
    • Dehghan, M., Hajarian, M.: Iterative algorithms for the generalized centro-symmetric and central anti-symmetric solutions of general coupled matrix equations. Eng. Comput. 29(5), 528-560 (2012)
    • (2012) Eng. Comput. , vol.29 , Issue.5 , pp. 528-560
    • Dehghan, M.1    Hajarian, M.2
  • 12
    • 84866035663 scopus 로고    scopus 로고
    • Parameter estimation for Hammerstein CARARMA systems based on the Newton iteration
    • 2971406 1255.65119 10.1016/j.aml.2012.03.038
    • Li, J.H.: Parameter estimation for Hammerstein CARARMA systems based on the Newton iteration. Appl. Math. Lett. 26(1), 91-96 (2013)
    • (2013) Appl. Math. Lett. , vol.26 , Issue.1 , pp. 91-96
    • Li, J.H.1
  • 13
    • 79551472381 scopus 로고    scopus 로고
    • Identification methods for Hammerstein nonlinear systems
    • 10.1016/j.dsp.2010.06.006
    • Ding, F., Liu, X.P., Liu, G.: Identification methods for Hammerstein nonlinear systems. Digit. Signal Process. 21(2), 215-238 (2011)
    • (2011) Digit. Signal Process. , vol.21 , Issue.2 , pp. 215-238
    • Ding, F.1    Liu, X.P.2    Liu, G.3
  • 14
    • 80051812500 scopus 로고    scopus 로고
    • Gradient based estimation algorithm for Hammerstein systems with saturation and dead-zone nonlinearities
    • 1236.93142 10.1016/j.apm.2011.05.049
    • Chen, J., Wang, X.P., Ding, R.F.: Gradient based estimation algorithm for Hammerstein systems with saturation and dead-zone nonlinearities. Appl. Math. Model. 36(1), 238-243 (2012)
    • (2012) Appl. Math. Model. , vol.36 , Issue.1 , pp. 238-243
    • Chen, J.1    Wang, X.P.2    Ding, R.F.3
  • 15
    • 79551473739 scopus 로고    scopus 로고
    • Least squares based and gradient based iterative identification for Wiener nonlinear systems
    • 1219.94052 10.1016/j.sigpro.2010.11.004
    • Wang, D.Q., Ding, F.: Least squares based and gradient based iterative identification for Wiener nonlinear systems. Signal Process. 91(5), 1182-1189 (2011)
    • (2011) Signal Process. , vol.91 , Issue.5 , pp. 1182-1189
    • Wang, D.Q.1    Ding, F.2
  • 17
    • 56749182072 scopus 로고    scopus 로고
    • Identification for disturbed MIMO Wiener systems
    • 2466103 1170.93375 10.1007/s11071-008-9342-6
    • Fan, D., Lo, K.: Identification for disturbed MIMO Wiener systems. Nonlinear Dyn. 55(1-2), 31-42 (2009)
    • (2009) Nonlinear Dyn. , vol.55 , Issue.1-2 , pp. 31-42
    • Fan, D.1    Lo, K.2
  • 18
    • 0041845015 scopus 로고    scopus 로고
    • Nonlinear system identification of multi-degree-of-freedom systems
    • 1991468 1062.70601 10.1023/A:1024489210804
    • Thothadri, M., Casas, R.A., Moon, F.C., D'Andrea, R., Johnson, C.R. Jr.: Nonlinear system identification of multi-degree-of-freedom systems. Nonlinear Dyn. 32(3), 307-322 (2003)
    • (2003) Nonlinear Dyn. , vol.32 , Issue.3 , pp. 307-322
    • Thothadri, M.1    Casas, R.A.2    Moon, F.C.3    D'Andrea, R.4    Johnson, Jr.C.R.5
  • 19
    • 33745915835 scopus 로고    scopus 로고
    • Gradient-based identification methods for Hammerstein nonlinear ARMAX models
    • 2251164 1134.93321 10.1007/s11071-005-1850-z
    • Ding, F., Shi, Y., Chen, T.: Gradient-based identification methods for Hammerstein nonlinear ARMAX models. Nonlinear Dyn. 45(1-2), 31-43 (2006)
    • (2006) Nonlinear Dyn. , vol.45 , Issue.1-2 , pp. 31-43
    • Ding, F.1    Shi, Y.2    Chen, T.3
  • 20
    • 33947233313 scopus 로고    scopus 로고
    • Auxiliary model based least-squares identification methods for Hammerstein output-error systems
    • 2311199 1130.93055 10.1016/j.sysconle.2006.10.026
    • Ding, F., Shi, Y., Chen, T.: Auxiliary model based least-squares identification methods for Hammerstein output-error systems. Syst. Control Lett. 56(5), 373-380 (2007)
    • (2007) Syst. Control Lett. , vol.56 , Issue.5 , pp. 373-380
    • Ding, F.1    Shi, Y.2    Chen, T.3
  • 21
    • 0032022209 scopus 로고    scopus 로고
    • An optimal two-stage identification algorithm for Hammerstein-Wiener nonlinear systems
    • 1623128 10.1016/S0005-1098(97)00198-2
    • Bai, E.: An optimal two-stage identification algorithm for Hammerstein-Wiener nonlinear systems. Automatica 34(3), 333-338 (1998)
    • (1998) Automatica , vol.34 , Issue.3 , pp. 333-338
    • Bai, E.1
  • 22
    • 22344449915 scopus 로고    scopus 로고
    • Identification of Hammerstein nonlinear ARMAX systems
    • 2161111 1086.93063 10.1016/j.automatica.2005.03.026
    • Ding, F., Chen, T.: Identification of Hammerstein nonlinear ARMAX systems. Automatica 41(9), 1479-1489 (2005)
    • (2005) Automatica , vol.41 , Issue.9 , pp. 1479-1489
    • Ding, F.1    Chen, T.2
  • 23
    • 77953128333 scopus 로고    scopus 로고
    • Auxiliary model-based recursive generalized least squares parameter estimation for Hammerstein OEAR systems
    • 1201.93134 10.1016/j.mcm.2010.03.002
    • Wang, D.Q., Chu, Y.Y., Yanga, G., Ding, F.: Auxiliary model-based recursive generalized least squares parameter estimation for Hammerstein OEAR systems. Math. Comput. Model. 52(1-2), 309-317 (2010)
    • (2010) Math. Comput. Model. , vol.52 , Issue.1-2 , pp. 309-317
    • Wang, D.Q.1    Chu, Y.Y.2    Yanga, G.3    Ding, F.4
  • 24
    • 77954175887 scopus 로고    scopus 로고
    • Input-output data filtering based recursive least squares parameter estimation for CARARMA systems
    • 10.1016/j.dsp.2009.12.006
    • Wang, D.Q., Ding, F.: Input-output data filtering based recursive least squares parameter estimation for CARARMA systems. Digit. Signal Process. 20(4), 991-999 (2010)
    • (2010) Digit. Signal Process. , vol.20 , Issue.4 , pp. 991-999
    • Wang, D.Q.1    Ding, F.2
  • 25
    • 79955467632 scopus 로고    scopus 로고
    • Recursive inverse adaptive filtering algorithm
    • 10.1016/j.dsp.2011.03.001
    • Ahmad, M.S., Kukrer, O., Hocanin, A.: Recursive inverse adaptive filtering algorithm. Digit. Signal Process. 21(4), 491-496 (2011)
    • (2011) Digit. Signal Process. , vol.21 , Issue.4 , pp. 491-496
    • Ahmad, M.S.1    Kukrer, O.2    Hocanin, A.3
  • 26
    • 84863116493 scopus 로고    scopus 로고
    • Least squares-based recursive and iterative estimation for output error moving average systems using data filtering
    • 2883337 10.1049/iet-cta.2010.0416
    • Wang, D.Q.: Least squares-based recursive and iterative estimation for output error moving average systems using data filtering. IET Control Theory Appl. 5(14), 1648-1657 (2011)
    • (2011) IET Control Theory Appl. , vol.5 , Issue.14 , pp. 1648-1657
    • Wang, D.Q.1
  • 27
    • 79955465351 scopus 로고    scopus 로고
    • Recursive least squares parameter estimation for non-uniformly sampled systems based on the data filtering
    • 2801888 1225.62120 10.1016/j.mcm.2011.02.014
    • Xie, L., Yang, H.Z., Ding, F.: Recursive least squares parameter estimation for non-uniformly sampled systems based on the data filtering. Math. Comput. Model. 54(1-2), 315-324 (2011)
    • (2011) Math. Comput. Model. , vol.54 , Issue.1-2 , pp. 315-324
    • Xie, L.1    Yang, H.Z.2    Ding, F.3
  • 28
    • 54249153250 scopus 로고    scopus 로고
    • H-2 and H-infinity filtering for multirate systems using lifted models
    • 2448768 1173.93360 10.1007/s00034-008-9058-3
    • Yu, B., Shi, Y., Huang, H.: H-2 and H-infinity filtering for multirate systems using lifted models. Circuits Syst. Signal Process. 27(5), 699-711 (2008)
    • (2008) Circuits Syst. Signal Process. , vol.27 , Issue.5 , pp. 699-711
    • Yu, B.1    Shi, Y.2    Huang, H.3
  • 29
    • 79957845497 scopus 로고    scopus 로고
    • Parameter estimation for nonlinear dynamical adjustment models
    • 2812178 1228.93116 10.1016/j.mcm.2011.04.027
    • Xiao, Y.S., Yue, N.: Parameter estimation for nonlinear dynamical adjustment models. Math. Comput. Model. 54(5-6), 1561-1568 (2011)
    • (2011) Math. Comput. Model. , vol.54 , Issue.5-6 , pp. 1561-1568
    • Xiao, Y.S.1    Yue, N.2
  • 30
    • 0033356737 scopus 로고    scopus 로고
    • Iterative algorithm for parameter identification of Hammerstein systems with two-segment nonlinearities
    • 1136.93446 10.1109/9.802933
    • Vörös, J.: Iterative algorithm for parameter identification of Hammerstein systems with two-segment nonlinearities. IEEE Trans. Autom. Control 44(11), 2145-2149 (1999)
    • (1999) IEEE Trans. Autom. Control , vol.44 , Issue.11 , pp. 2145-2149
    • Vörös, J.1
  • 31
    • 47049105559 scopus 로고    scopus 로고
    • On consistency of recursive least squares identification algorithms for controlled auto-regression models
    • 2439699 1156.93411 10.1016/j.apm.2007.07.003
    • Xiao, Y.S., Ding, F., Zhou, Y., Li, M., Dai, J.: On consistency of recursive least squares identification algorithms for controlled auto-regression models. Appl. Math. Model. 32(11), 2207-2215 (2008)
    • (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.5
  • 32
    • 84865022754 scopus 로고    scopus 로고
    • Auxiliary model based least squares identification method for a state space model with a unit time-delay
    • 2968425 10.1016/j.apm.2012.01.039
    • Gu, Y., Ding, F.: Auxiliary model based least squares identification method for a state space model with a unit time-delay. Appl. Math. Model. 36(12), 5773-5779 (2012)
    • (2012) Appl. Math. Model. , vol.36 , Issue.12 , pp. 5773-5779
    • Gu, Y.1    Ding, F.2
  • 33
    • 77954287475 scopus 로고    scopus 로고
    • Least squares parameter estimation with irregularly missing data
    • 1200.93130
    • Ding, F., Ding, J.: Least squares parameter estimation with irregularly missing data. Int. J. Adapt. Control Signal Process. 24(7), 540-553 (2010)
    • (2010) Int. J. Adapt. Control Signal Process. , vol.24 , Issue.7 , pp. 540-553
    • Ding, F.1    Ding, J.2
  • 34
    • 79953175193 scopus 로고    scopus 로고
    • ∞ control of networked control systems with random time delays in both forward and backward communication links
    • 2878337 1215.93045 10.1016/j.automatica.2011.01.022
    • ∞ control of networked control systems with random time delays in both forward and backward communication links. Automatica 47(4), 754-760 (2011)
    • (2011) Automatica , vol.47 , Issue.4 , pp. 754-760
    • Shi, Y.1    Yu, B.2
  • 35
    • 67949088087 scopus 로고    scopus 로고
    • Output feedback stabilization of networked control systems with random delays modeled by Markov chains
    • 2535768 10.1109/TAC.2009.2020638
    • Shi, Y., Yu, B.: Output feedback stabilization of networked control systems with random delays modeled by Markov chains. IEEE Trans. Autom. Control 54(7), 1668-1674 (2009)
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.7 , pp. 1668-1674
    • Shi, Y.1    Yu, B.2
  • 36
    • 80755164091 scopus 로고    scopus 로고
    • Maximum likelihood least squares identification for systems with autoregressive moving average noise
    • 2878151 1242.62105 10.1016/j.apm.2011.07.083
    • Wang, W., Ding, F., Dai, J.Y.: Maximum likelihood least squares identification for systems with autoregressive moving average noise. Appl. Math. Model. 36(5), 1842-1853 (2012)
    • (2012) Appl. Math. Model. , vol.36 , Issue.5 , pp. 1842-1853
    • Wang, W.1    Ding, F.2    Dai, J.Y.3
  • 37
    • 67650315437 scopus 로고    scopus 로고
    • An auxiliary model based on a recursive least-squares parameter estimation algorithm for non-uniformly sampled multirate systems
    • 10.1243/09596518JSCE686
    • Liu, Y.J., Xie, L., Ding, F.: An auxiliary model based on a recursive least-squares parameter estimation algorithm for non-uniformly sampled multirate systems. Proc. Inst. Mech. Eng., Part I, J. Syst. Control Eng. 223(4), 445-454 (2009)
    • (2009) Proc. Inst. Mech. Eng., Part I, J. Syst. Control Eng. , vol.223 , Issue.4 , pp. 445-454
    • Liu, Y.J.1    Xie, L.2    Ding, F.3
  • 38
    • 58349105805 scopus 로고    scopus 로고
    • Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems
    • 2527328 1158.93365 10.1016/j.automatica.2008.08.007
    • Ding, F., Qiu, L., Chen, T.: Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems. Automatica 45(2), 324-332 (2009)
    • (2009) Automatica , vol.45 , Issue.2 , pp. 324-332
    • Ding, F.1    Qiu, L.2    Chen, T.3
  • 39
    • 84875381260 scopus 로고    scopus 로고
    • Coupled-least-squares identification for multivariable systems
    • 10.1049/iet-cta.2012.0171
    • Ding, F.: Coupled-least-squares identification for multivariable systems. IET Control Theory Appl. 7(1), 68-79 (2013)
    • (2013) IET Control Theory Appl. , vol.7 , Issue.1 , pp. 68-79
    • Ding, F.1
  • 40
    • 84875377098 scopus 로고    scopus 로고
    • Gradient-based and least-squares-based iterative algorithms for Hammerstein systems using the hierarchical identification principle
    • doi: 10.1049/iet-cta.2012.0313
    • Ding, F., Liu, X.G., Chu, J.: Gradient-based and least-squares-based iterative algorithms for Hammerstein systems using the hierarchical identification principle. IET Control Theory Appl. 7(x) (2013). doi: 10.1049/iet-cta.2012.0313
    • (2013) IET Control Theory Appl , vol.7 , Issue.10
    • Ding, F.1    Liu, X.G.2    Chu, J.3
  • 41
    • 84872619148 scopus 로고    scopus 로고
    • Two-stage least squares based iterative estimation algorithm for CARARMA system modeling
    • 10.1016/j.apm.2012.10.014
    • Ding, F.: Two-stage least squares based iterative estimation algorithm for CARARMA system modeling. Appl. Math. Model. 37(7), 4798-4808 (2013)
    • (2013) Appl. Math. Model. , vol.37 , Issue.7 , pp. 4798-4808
    • Ding, F.1
  • 42
    • 84872587309 scopus 로고    scopus 로고
    • Decomposition based fast least squares algorithm for output error systems
    • 10.1016/j.sigpro.2012.12.013
    • Ding, F.: Decomposition based fast least squares algorithm for output error systems. Signal Process. 93(5), 1235-1242 (2013)
    • (2013) Signal Process. , vol.93 , Issue.5 , pp. 1235-1242
    • Ding, F.1
  • 43
    • 77950187988 scopus 로고    scopus 로고
    • Convergence of stochastic gradient estimation algorithm for multivariable ARX-like systems
    • 2607966 1193.60057 10.1016/j.camwa.2010.01.030
    • Liu, Y.J., Sheng, J., Ding, R.F.: Convergence of stochastic gradient estimation algorithm for multivariable ARX-like systems. Comput. Math. Appl. 59(8), 2615-2627 (2010)
    • (2010) Comput. Math. Appl. , vol.59 , Issue.8 , pp. 2615-2627
    • Liu, Y.J.1    Sheng, J.2    Ding, R.F.3
  • 44
    • 84863012837 scopus 로고    scopus 로고
    • Gradient based and least squares based iterative estimation algorithms for multi-input multi-output systems
    • 10.1177/0959651811409491
    • 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., Part I, J. Syst. Control Eng. 226(1), 43-55 (2012)
    • (2012) Proc. Inst. Mech. Eng., Part I, J. Syst. Control Eng. , vol.226 , Issue.1 , pp. 43-55
    • Ding, F.1    Liu, Y.J.2    Bao, B.3
  • 45
    • 33751236756 scopus 로고    scopus 로고
    • Performance analysis of multi-innovation gradient type identification methods
    • 2266765 1140.93488 10.1016/j.automatica.2006.07.024
    • Ding, F., Chen, T.: Performance analysis of multi-innovation gradient type identification methods. Automatica 43(1), 1-14 (2007)
    • (2007) Automatica , vol.43 , Issue.1 , pp. 1-14
    • Ding, F.1    Chen, T.2
  • 46
    • 74149086591 scopus 로고    scopus 로고
    • Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model
    • 2571635 1177.65095 10.1016/j.amc.2009.07.012
    • Liu, Y.J., Xiao, Y.S., Zhao, X.L.: Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model. Appl. Math. Comput. 215(4), 1477-1483 (2009)
    • (2009) Appl. Math. Comput. , vol.215 , Issue.4 , pp. 1477-1483
    • Liu, Y.J.1    Xiao, Y.S.2    Zhao, X.L.3
  • 47
    • 67349177024 scopus 로고    scopus 로고
    • Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises
    • 1178.94137 10.1016/j.sigpro.2009.03.020
    • Ding, F., Liu, X.P., Liu, G.: Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises. Signal Process. 89(10), 1883-1890 (2009)
    • (2009) Signal Process. , vol.89 , Issue.10 , pp. 1883-1890
    • Ding, F.1    Liu, X.P.2    Liu, G.3
  • 48
    • 67349090936 scopus 로고    scopus 로고
    • Multi-innovation stochastic gradient algorithms for multi-input multi-output systems
    • 2598450 10.1016/j.dsp.2008.12.002
    • Han, L.L., Ding, F.: Multi-innovation stochastic gradient algorithms for multi-input multi-output systems. Digit. Signal Process. 19(4), 545-554 (2009)
    • (2009) Digit. Signal Process. , vol.19 , Issue.4 , pp. 545-554
    • Han, L.L.1    Ding, F.2
  • 49
    • 77954175918 scopus 로고    scopus 로고
    • Several multi-innovation identification methods
    • 10.1016/j.dsp.2009.10.030
    • Ding, F.: Several multi-innovation identification methods. Digit. Signal Process. 20(4), 1027-1039 (2010)
    • (2010) Digit. Signal Process. , vol.20 , Issue.4 , pp. 1027-1039
    • Ding, F.1
  • 50
    • 77952585183 scopus 로고    scopus 로고
    • Multi-innovation least squares identification for linear and pseudo-linear regression models
    • 10.1109/TSMCB.2009.2028871
    • Ding, F., Liu, X.P., Liu, G.: Multi-innovation least squares identification for linear and pseudo-linear regression models. IEEE Trans. Syst. Man Cybern., Part B, Cybern. 40(3), 767-778 (2010)
    • (2010) IEEE Trans. Syst. Man Cybern., Part B, Cybern. , vol.40 , Issue.3 , pp. 767-778
    • Ding, F.1    Liu, X.P.2    Liu, G.3
  • 51
    • 79960912040 scopus 로고    scopus 로고
    • Parameter estimation with scarce measurements
    • 2886767 1232.62043 10.1016/j.automatica.2011.05.007
    • Ding, F., Liu, G., Liu, X.P.: Parameter estimation with scarce measurements. Automatica 47(8), 1646-1655 (2011)
    • (2011) Automatica , vol.47 , Issue.8 , pp. 1646-1655
    • Ding, F.1    Liu, G.2    Liu, X.P.3
  • 52
    • 84870248582 scopus 로고    scopus 로고
    • Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling
    • 3002272 10.1016/j.apm.2012.04.039
    • Ding, F.: Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling. Appl. Math. Model. 37(4), 1694-1704 (2013)
    • (2013) Appl. Math. Model. , vol.37 , Issue.4 , pp. 1694-1704
    • Ding, F.1
  • 53
    • 22144434326 scopus 로고    scopus 로고
    • Hierarchical gradient-based identification of multivariable discrete-time systems
    • 2157667 1073.93012 10.1016/j.automatica.2004.10.010
    • Ding, F., Chen, T.: Hierarchical gradient-based identification of multivariable discrete-time systems. Automatica 41(2), 315-325 (2005)
    • (2005) Automatica , vol.41 , Issue.2 , pp. 315-325
    • Ding, F.1    Chen, T.2
  • 54
    • 16244397443 scopus 로고    scopus 로고
    • Hierarchical least squares identification methods for multivariable systems
    • 2123103 10.1109/TAC.2005.843856
    • Ding, F., Chen, T.: Hierarchical least squares identification methods for multivariable systems. IEEE Trans. Autom. Control 50(3), 397-402 (2005)
    • (2005) IEEE Trans. Autom. Control , vol.50 , Issue.3 , pp. 397-402
    • Ding, F.1    Chen, T.2
  • 55
    • 22144498905 scopus 로고    scopus 로고
    • Hierarchical identification of lifted state-space models for general dual-rate systems
    • 2147479 10.1109/TCSI.2005.849144
    • Ding, F., Chen, T.: Hierarchical identification of lifted state-space models for general dual-rate systems. IEEE Trans. Circuits Syst. I, Regul. Pap. 52(6), 1179-1187 (2005)
    • (2005) IEEE Trans. Circuits Syst. I, Regul. Pap. , vol.52 , Issue.6 , pp. 1179-1187
    • Ding, F.1    Chen, T.2
  • 56
    • 77649187438 scopus 로고    scopus 로고
    • Hierarchical least squares based iterative identification for multivariable systems with moving average noises
    • 1198.93216 10.1016/j.mcm.2010.01.003
    • Han, H.Q., Xie, L., Ding, F., Liu, X.G.: Hierarchical least squares based iterative identification for multivariable systems with moving average noises. Math. Comput. Model. 51(9-10), 1213-1220 (2010)
    • (2010) Math. Comput. Model. , vol.51 , Issue.9-10 , pp. 1213-1220
    • Han, H.Q.1    Xie, L.2    Ding, F.3    Liu, X.G.4
  • 57
    • 78951487217 scopus 로고    scopus 로고
    • Hierarchical gradient based iterative parameter estimation algorithm for multivariable output error moving average systems
    • 2764062 1217.15022 10.1016/j.camwa.2010.12.014
    • Zhang, Z.N., Ding, F., Liu, X.G.: Hierarchical gradient based iterative parameter estimation algorithm for multivariable output error moving average systems. Comput. Math. Appl. 61(3), 672-682 (2011)
    • (2011) Comput. Math. Appl. , vol.61 , Issue.3 , pp. 672-682
    • Zhang, Z.N.1    Ding, F.2    Liu, X.G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.