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Volumn 79, Issue 3, 2015, Pages 2027-2035

Decomposition-based least squares parameter estimation algorithm for input nonlinear systems using the key term separation technique

Author keywords

Dynamic system; Hierarchical identification; Least squares; Parameter estimation

Indexed keywords

COMPUTATIONAL EFFICIENCY; DYNAMICAL SYSTEMS; LEAST SQUARES APPROXIMATIONS; NONLINEAR SYSTEMS; PARAMETERIZATION;

EID: 84925496894     PISSN: 0924090X     EISSN: 1573269X     Source Type: Journal    
DOI: 10.1007/s11071-014-1791-5     Document Type: Article
Times cited : (18)

References (42)
  • 2
    • 84899640873 scopus 로고    scopus 로고
    • Newton iterative identification method for an input nonlinear finite impulse response system with moving average noise using the key variables separation technique
    • Deng, K.P., Ding, F.: Newton iterative identification method for an input nonlinear finite impulse response system with moving average noise using the key variables separation technique. Nonlinear Dyn. 76(2), 1195–1202 (2014)
    • (2014) Nonlinear Dyn. , vol.76 , Issue.2 , pp. 1195-1202
    • Deng, K.P.1    Ding, F.2
  • 3
    • 80051793663 scopus 로고    scopus 로고
    • Nonlinear analysis of spacecraft thermal models
    • Gaite, J.: Nonlinear analysis of spacecraft thermal models. Nonlinear Dyn. 65(3), 283–300 (2011)
    • (2011) Nonlinear Dyn. , vol.65 , Issue.3 , pp. 283-300
    • Gaite, J.1
  • 4
    • 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 54(7), 1668–1674 (2009)
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.7 , pp. 1668-1674
    • Shi, Y.1    Yu, B.2
  • 5
    • 84898620668 scopus 로고    scopus 로고
    • State filtering and parameter identification for state space systems with scarce measurements
    • Ding, F.: State filtering and parameter identification for state space systems with scarce measurements. Signal Process. 104, 369–380 (2014)
    • (2014) Signal Process. , vol.104 , pp. 369-380
    • Ding, F.1
  • 6
    • 84863169460 scopus 로고    scopus 로고
    • State filtering for discrete-time systems with stochastic incomplete measurement and mixed delays
    • Shi, P., Luan, X.L., Liu, F.: $$H_{\infty }$$H∞ filtering for discrete-time systems with stochastic incomplete measurement and mixed delays. IEEE Trans. Ind. Electron. 59(6), 2732–2739 (2012)
    • (2012) IEEE Trans. Ind. Electron. , vol.59 , Issue.6 , pp. 2732-2739
    • Shi, P.1    Luan, X.L.2    Liu, F.3
  • 7
    • 84885571740 scopus 로고    scopus 로고
    • Real-time implementation of fault-tolerant control systems with performance optimization
    • Yin, S., Luo, H., Ding, S.X.: Real-time implementation of fault-tolerant control systems with performance optimization. IEEE Trans. Ind. Electron. 61(5), 2402–2411 (2013)
    • (2013) IEEE Trans. Ind. Electron. , vol.61 , Issue.5 , pp. 2402-2411
    • Yin, S.1    Luo, H.2    Ding, S.X.3
  • 8
    • 79960640641 scopus 로고    scopus 로고
    • Particle swarm optimization approach to thruster fault-tolerant control of unmanned underwater vehicles
    • Zhu, D.Q., Liu, J., Yang, S.X.: Particle swarm optimization approach to thruster fault-tolerant control of unmanned underwater vehicles. Int. J. Robot. Autom. 26(3), 426–432 (2011)
    • (2011) Int. J. Robot. Autom. , vol.26 , Issue.3 , pp. 426-432
    • Zhu, D.Q.1    Liu, J.2    Yang, S.X.3
  • 9
    • 84887623184 scopus 로고    scopus 로고
    • Combined state and least squares parameter estimation algorithms for dynamic systems
    • Ding, F.: Combined state and least squares parameter estimation algorithms for dynamic systems. Appl. Math. Model. 38(1), 403–412 (2014)
    • (2014) Appl. Math. Model. , vol.38 , Issue.1 , pp. 403-412
    • Ding, F.1
  • 10
    • 84900556855 scopus 로고    scopus 로고
    • Modified subspace identification for periodically non-uniformly sampled systems by using the lifting technique
    • Ding, J., Lin, J.X.: Modified subspace identification for periodically non-uniformly sampled systems by using the lifting technique. Circuits Syst. Signal Process. 33(5), 1439–1449 (2014)
    • (2014) Circuits Syst. Signal Process. , vol.33 , Issue.5 , pp. 1439-1449
    • Ding, J.1    Lin, J.X.2
  • 11
    • 77954349450 scopus 로고    scopus 로고
    • Parameter identification of chaotic systems using improved differential evolution algorithm
    • 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
  • 12
    • 56749182072 scopus 로고    scopus 로고
    • Identification for disturbed MIMO Wiener systems
    • 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
  • 13
    • 0029483769 scopus 로고
    • Nonlinear black-box modeling in system identification: a unified overview
    • Sjöberg, J., Zhang, Q., Ljung, L.: Nonlinear black-box modeling in system identification: a unified overview. Automatica 31(12), 1691–1724 (1995)
    • (1995) Automatica , vol.31 , Issue.12 , pp. 1691-1724
    • Sjöberg, J.1    Zhang, Q.2    Ljung, L.3
  • 14
    • 0031170015 scopus 로고    scopus 로고
    • Parameter identification of discontinuous Hammerstein systems
    • Vörös, J.: Parameter identification of discontinuous Hammerstein systems. Automatica 33(6), 1141–1146 (1997)
    • (1997) Automatica , vol.33 , Issue.6 , pp. 1141-1146
    • Vörös, J.1
  • 15
    • 55249097118 scopus 로고    scopus 로고
    • Maximum likelihood identification of Wiener models
    • Hagenblada, A., Ljung, L., Wills, A.: Maximum likelihood identification of Wiener models. Automatica 44(11), 2697–2705 (2008)
    • (2008) Automatica , vol.44 , Issue.11 , pp. 2697-2705
    • Hagenblada, A.1    Ljung, L.2    Wills, A.3
  • 16
    • 0036604581 scopus 로고    scopus 로고
    • A blind approach to the Hammerstein–Wiener model identification
    • Bai, E.W.: A blind approach to the Hammerstein–Wiener model identification. Automatica 38(6), 967–979 (2002)
    • (2002) Automatica , vol.38 , Issue.6 , pp. 967-979
    • Bai, E.W.1
  • 17
    • 67649421596 scopus 로고    scopus 로고
    • Wiener and Hammerstein uncertain models identification
    • Biagiola, S.I., Figueroa, J.L.: Wiener and Hammerstein uncertain models identification. Math. Comput. Simul. 79(11), 3296–3313 (2009)
    • (2009) Math. Comput. Simul. , vol.79 , Issue.11 , pp. 3296-3313
    • Biagiola, S.I.1    Figueroa, J.L.2
  • 18
    • 0019899613 scopus 로고
    • Identification of systems containing linear dynamic and static nonlinear elements
    • Billings, S.A., Fakhouri, S.Y.: Identification of systems containing linear dynamic and static nonlinear elements. Automatica 18(1), 15–26 (1982)
    • (1982) Automatica , vol.18 , Issue.1 , pp. 15-26
    • Billings, S.A.1    Fakhouri, S.Y.2
  • 19
    • 0037151511 scopus 로고    scopus 로고
    • System identification method for Hammerstein processes
    • Sung, S.W.: System identification method for Hammerstein processes. Ind. Eng. Chem. Res. 41(17), 4295–4302 (2002)
    • (2002) Ind. Eng. Chem. Res. , vol.41 , Issue.17 , pp. 4295-4302
    • Sung, S.W.1
  • 20
    • 0035829576 scopus 로고    scopus 로고
    • Digital predistortion of wide band signals based on power amplifier model with memory
    • Kim, J., Konstantinou, K.: Digital predistortion of wide band signals based on power amplifier model with memory. Electron. Lett. 37(23), 1417–1418 (2001)
    • (2001) Electron. Lett. , vol.37 , Issue.23 , pp. 1417-1418
    • Kim, J.1    Konstantinou, K.2
  • 21
    • 34250693639 scopus 로고    scopus 로고
    • Identification and control for heart rate regulation during treadmill exercise
    • Su, S.W., Wang, L., Celler, B.G., Savkin, A.V., Guo, Y.: Identification and control for heart rate regulation during treadmill exercise. IEEE Trans. Biomed. Eng. 54(7), 1238–1246 (2007)
    • (2007) IEEE Trans. Biomed. Eng. , vol.54 , Issue.7 , pp. 1238-1246
    • Su, S.W.1    Wang, L.2    Celler, B.G.3    Savkin, A.V.4    Guo, Y.5
  • 22
    • 84889082104 scopus 로고    scopus 로고
    • Recursive least squares estimation algorithm applied to a class of linear-in-parameters output error moving average systems
    • Wang, C., Tang, T.: Recursive least squares estimation algorithm applied to a class of linear-in-parameters output error moving average systems. Appl. Math. Lett. 29, 36–41 (2014)
    • (2014) Appl. Math. Lett. , vol.29 , pp. 36-41
    • Wang, C.1    Tang, T.2
  • 23
    • 84891556804 scopus 로고    scopus 로고
    • Least squares algorithm for an input nonlinear system with a dynamic subspace state space model
    • Wang, D.Q., Ding, F., Liu, X.M.: Least squares algorithm for an input nonlinear system with a dynamic subspace state space model. Nonlinear Dyn. 75(1–2), 49–61 (2014)
    • (2014) Nonlinear Dyn. , vol.75 , Issue.1-2 , pp. 49-61
    • Wang, D.Q.1    Ding, F.2    Liu, X.M.3
  • 24
    • 0033356737 scopus 로고    scopus 로고
    • Iterative algorithm for parameter identification of Hammerstein systems with two-segment nonlinearities
    • 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
  • 25
    • 0036247624 scopus 로고    scopus 로고
    • Modeling and parameter identification of systems with multi-segment piecewise-linear characteristics
    • Vörös, J.: Modeling and parameter identification of systems with multi-segment piecewise-linear characteristics. IEEE Trans. Autom. Control 47(1), 184–188 (2002)
    • (2002) IEEE Trans. Autom. Control , vol.47 , Issue.1 , pp. 184-188
    • Vörös, J.1
  • 26
    • 9144235451 scopus 로고    scopus 로고
    • Recursive identification of Hammerstein systems with discontinuous nonlinearities containing dead-zones
    • Vörös, J.: Recursive identification of Hammerstein systems with discontinuous nonlinearities containing dead-zones. IEEE Trans. Autom. Control 48(12), 2203–2206 (2003)
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.12 , pp. 2203-2206
    • Vörös, J.1
  • 27
    • 1842843133 scopus 로고    scopus 로고
    • Identification of block-oriented nonlinear systems using orthonormal bases
    • Gómez, J.C., Baeyens, E.: Identification of block-oriented nonlinear systems using orthonormal bases. J. Process Control 14(6), 685–697 (2004)
    • (2004) J. Process Control , vol.14 , Issue.6 , pp. 685-697
    • Gómez, J.C.1    Baeyens, E.2
  • 28
    • 0036568296 scopus 로고    scopus 로고
    • Identification of linear systems with hard input nonlinearities of known structure
    • Bai, E.W.: Identification of linear systems with hard input nonlinearities of known structure. Automatica 38(5), 853–860 (2002)
    • (2002) Automatica , vol.38 , Issue.5 , pp. 853-860
    • Bai, E.W.1
  • 29
    • 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. 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
  • 30
    • 84905122934 scopus 로고    scopus 로고
    • Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique
    • Wang, C., Tang, T.: Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique. Nonlinear Dyn. 77(3), 769–780 (2014)
    • (2014) Nonlinear Dyn. , vol.77 , Issue.3 , pp. 769-780
    • Wang, C.1    Tang, T.2
  • 31
    • 84897710253 scopus 로고    scopus 로고
    • Recursive extended least squares parameter estimation for Wiener nonlinear systems with moving average noises
    • Hu, Y.B., Liu, B.L., Zhou, Q., Yang, C.: Recursive extended least squares parameter estimation for Wiener nonlinear systems with moving average noises. Circuits Syst. Signal Process. 33(2), 655–664 (2014)
    • (2014) Circuits Syst. Signal Process. , vol.33 , Issue.2 , pp. 655-664
    • Hu, Y.B.1    Liu, B.L.2    Zhou, Q.3    Yang, C.4
  • 32
    • 84874603494 scopus 로고    scopus 로고
    • Iterative and recursive least squares estimation algorithms for moving average systems
    • Hu, Y.B.: Iterative and recursive least squares estimation algorithms for moving average systems. Simul. Model. Pract. Theory 34, 12–19 (2013)
    • (2013) Simul. Model. Pract. Theory , vol.34 , pp. 12-19
    • Hu, Y.B.1
  • 33
    • 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. 37(4), 1694–1704 (2013)
    • (2013) Appl. Math. Model. , vol.37 , Issue.4 , pp. 1694-1704
    • Ding, F.1
  • 34
    • 84872617586 scopus 로고    scopus 로고
    • Auxiliary model based parameter estimation for dual-rate output error systems with colored noise
    • Ding, J., Fan, C.X., Lin, J.X.: Auxiliary model based parameter estimation for dual-rate output error systems with colored noise. Appl. Math. Model. 37(6), 4051–4058 (2013)
    • (2013) Appl. Math. Model. , vol.37 , Issue.6 , pp. 4051-4058
    • Ding, J.1    Fan, C.X.2    Lin, J.X.3
  • 35
    • 84895924313 scopus 로고    scopus 로고
    • An efficient hierarchical identification method for general dual-rate sampled-data systems
    • Liu, Y.J., Ding, F., Shi, Y.: An efficient hierarchical identification method for general dual-rate sampled-data systems. Automatica 50(3), 962–970 (2014)
    • (2014) Automatica , vol.50 , Issue.3 , pp. 962-970
    • Liu, Y.J.1    Ding, F.2    Shi, Y.3
  • 36
    • 84901814060 scopus 로고    scopus 로고
    • Hierarchical parameter estimation algorithms for multivariable systems using measurement information
    • Ding, F.: Hierarchical parameter estimation algorithms for multivariable systems using measurement information. Inf. Sci. 277, 396–405 (2014)
    • (2014) Inf. Sci. , vol.277 , pp. 396-405
    • Ding, F.1
  • 37
    • 84866035663 scopus 로고    scopus 로고
    • Parameter estimation for Hammerstein CARARMA systems based on the Newton iteration
    • 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
  • 38
    • 78650265249 scopus 로고    scopus 로고
    • Bias compensation methods for stochastic systems with colored noise
    • Zhang, Y., Cui, G.M.: Bias compensation methods for stochastic systems with colored noise. Appl. Math. Model. 35(4), 1709–1716 (2011)
    • (2011) Appl. Math. Model. , vol.35 , Issue.4 , pp. 1709-1716
    • Zhang, Y.1    Cui, G.M.2
  • 39
    • 79951948686 scopus 로고    scopus 로고
    • Unbiased identification of a class of multi-input single-output systems with correlated disturbances using bias compensation methods
    • Zhang, Y.: Unbiased identification of a class of multi-input single-output systems with correlated disturbances using bias compensation methods. Math. Comput. Model. 53(9–10), 1810–1819 (2011)
    • (2011) Math. Comput. Model. , vol.53 , Issue.9-10 , pp. 1810-1819
    • Zhang, Y.1
  • 40
    • 78049277587 scopus 로고    scopus 로고
    • Convergence of the iterative algorithm for a general Hammerstein system identification
    • Bai, E.W., Li, K.: Convergence of the iterative algorithm for a general Hammerstein system identification. Automatica 46(11), 1891–1896 (2010)
    • (2010) Automatica , vol.46 , Issue.11 , pp. 1891-1896
    • Bai, E.W.1    Li, K.2
  • 41
    • 84907528812 scopus 로고    scopus 로고
    • A multi-innovation generalized extended stochastic gradient algorithm for output nonlinear autoregressive moving average systems
    • Hu, Y.B., Liu, B.L., Zhou, Q.: A multi-innovation generalized extended stochastic gradient algorithm for output nonlinear autoregressive moving average systems. Appl. Math. Comput. 247, 218–224 (2014)
    • (2014) Appl. Math. Comput. , vol.247 , pp. 218-224
    • Hu, Y.B.1    Liu, B.L.2    Zhou, Q.3


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