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Volumn 35, Issue 11, 2016, Pages 3863-3881

Least Squares-Based Iterative Identification Methods for Linear-in-Parameters Systems Using the Decomposition Technique

Author keywords

Decomposition technique; Iterative identification; Linear in parameters system; Missing data; Parameter estimation

Indexed keywords

ALGORITHMS; HIERARCHICAL SYSTEMS; LEAST SQUARES APPROXIMATIONS; LSI CIRCUITS; PARAMETER ESTIMATION;

EID: 84983797323     PISSN: 0278081X     EISSN: 15315878     Source Type: Journal    
DOI: 10.1007/s00034-015-0232-0     Document Type: Article
Times cited : (5)

References (43)
  • 1
    • 84943748998 scopus 로고    scopus 로고
    • Recursive set-membership parameter estimation using fractional model
    • M. Amairi, Recursive set-membership parameter estimation using fractional model. Circuits Syst. Signal Process. 34(12), 3757–3788 (2015)
    • (2015) Circuits Syst. Signal Process. , vol.34 , Issue.12 , pp. 3757-3788
    • Amairi, M.1
  • 2
    • 84925496894 scopus 로고    scopus 로고
    • Decomposition-based least squares parameter estimation algorithm for input nonlinear systems using the key term separation technique
    • H.B. Chen, F. Ding, Y.S. Xiao, Decomposition-based least squares parameter estimation algorithm for input nonlinear systems using the key term separation technique. Nonlinear Dyn. 79(3), 2027–2035 (2015)
    • (2015) Nonlinear Dyn. , vol.79 , Issue.3 , pp. 2027-2035
    • Chen, H.B.1    Ding, F.2    Xiao, Y.S.3
  • 3
    • 84908451452 scopus 로고    scopus 로고
    • Hierarchical gradient parameter estimation algorithm for Hammerstein nonlinear systems using the key term separation principle
    • H.B. Chen, Y.S. Xiao et al., Hierarchical gradient parameter estimation algorithm for Hammerstein nonlinear systems using the key term separation principle. Appl. Math. Comput. 247, 1202–1210 (2014)
    • (2014) Appl. Math. Comput. , vol.247 , pp. 1202-1210
    • Chen, H.B.1    Xiao, Y.S.2
  • 4
    • 84863817689 scopus 로고    scopus 로고
    • Iterative algorithms for the generalized centro-symmetric and central anti-symmetric solutions of general coupled matrix equations
    • M. Dehghan, M. Hajarian, 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
  • 7
    • 84898602753 scopus 로고    scopus 로고
    • Decomposition based Newton iterative identification method for a Hammerstein nonlinear FIR system with ARMA noise
    • F. Ding, K.P. Deng, X.M. Liu, Decomposition based Newton iterative identification method for a Hammerstein nonlinear FIR system with ARMA noise. Circuits Syst. Signal Process. 33(9), 2881–2893 (2014)
    • (2014) Circuits Syst. Signal Process. , vol.33 , Issue.9 , pp. 2881-2893
    • Ding, F.1    Deng, K.P.2    Liu, X.M.3
  • 8
    • 77954287475 scopus 로고    scopus 로고
    • Least squares parameter estimation with irregularly missing data
    • F. Ding, J. Ding, 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
  • 9
    • 84872617586 scopus 로고    scopus 로고
    • Auxiliary model based parameter estimation for dual-rate output error systems with colored noise
    • J. Ding, C.X. Fan, J.X. Lin, 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
  • 10
    • 84900556855 scopus 로고    scopus 로고
    • Modified subspace identification for periodically non-uniformly sampled systems by using the lifting technique
    • J. Ding, J.X. Lin, 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
    • 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, 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. Eng. Appl. Math. 353 (2015). doi:10.1016/j.jfranklin.2015.10.025
    • (2015) J. Frankl. Inst. Eng. Appl. Math , pp. 353
    • Ding, F.1    Liu, X.M.2    Gu, Y.3
  • 12
    • 79960912040 scopus 로고    scopus 로고
    • Parameter estimation with scarce measurements
    • F. Ding, G. Liu, X.P. Liu, 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
  • 13
    • 84979608694 scopus 로고    scopus 로고
    • Recursive least squares parameter estimation for a class of output nonlinear systems based on the model decomposition. Circuits Syst
    • F. Ding, X.H. Wang, Q.J. Chen, 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). doi:10.1007/s00034-015-0190-6
    • (2016) Signal Process , pp. 35
    • Ding, F.1    Wang, X.H.2    Chen, Q.J.3    Xiao, Y.S.4
  • 14
    • 84922470043 scopus 로고    scopus 로고
    • Recursive least squares parameter estimation algorithms for systems with colored noise using the filtering technique and the auxiliary model
    • F. Ding, Y.J. Wang, J. Ding, Recursive least squares parameter estimation algorithms for systems with colored noise using the filtering technique and the auxiliary model. Digit. Signal Process. 37, 100–108 (2015)
    • (2015) Digit. Signal Process. , vol.37 , pp. 100-108
    • Ding, F.1    Wang, Y.J.2    Ding, J.3
  • 15
    • 84930397232 scopus 로고    scopus 로고
    • The order recurrence quantification analysis of the characteristics of two-phase flow pattern based on multi-scale decomposition
    • C.L. Fan, H.J. Li, X. Ren, The order recurrence quantification analysis of the characteristics of two-phase flow pattern based on multi-scale decomposition. Trans. Inst. Meas. Control 37(6), 793–804 (2015)
    • (2015) Trans. Inst. Meas. Control , vol.37 , Issue.6 , pp. 793-804
    • Fan, C.L.1    Li, H.J.2    Ren, X.3
  • 16
    • 84941958666 scopus 로고    scopus 로고
    • Efficient parallel artificial bee colony algorithm for cooperative spectrum sensing optimization
    • Y.Q. Hei, W.T. Li, W.H. Fu, X.H. Li, Efficient parallel artificial bee colony algorithm for cooperative spectrum sensing optimization. Circuits Syst. Signal Process. 34(11), 3611–3629 (2015)
    • (2015) Circuits Syst. Signal Process. , vol.34 , Issue.11 , pp. 3611-3629
    • Hei, Y.Q.1    Li, W.T.2    Fu, W.H.3    Li, X.H.4
  • 17
    • 84874603494 scopus 로고    scopus 로고
    • Iterative and recursive least squares estimation algorithms for moving average systems
    • Y.B. Hu, 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
  • 18
    • 84897710253 scopus 로고    scopus 로고
    • Recursive extended least squares parameter estimation for Wiener nonlinear systems with moving average noises
    • Y.B. Hu, B.L. Liu, Q. Zhou, C. Yang, 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
  • 19
    • 84869498047 scopus 로고    scopus 로고
    • l-2-l-infinity filtering for multirate nonlinear sampled-data systems using T–S fuzzy models
    • J. Huang, Y. Shi, H.N. Huang, Z. Li, l-2-l-infinity filtering for multirate nonlinear sampled-data systems using T–S fuzzy models. Digit. Signal Process. 23(1), 418–426 (2013)
    • (2013) Digit. Signal Process. , vol.23 , Issue.1 , pp. 418-426
    • Huang, J.1    Shi, Y.2    Huang, H.N.3    Li, Z.4
  • 20
    • 84925478711 scopus 로고    scopus 로고
    • Unified synchronization criteria for hybrid switching-impulsive dynamical networks
    • Y. Ji, X.M. Liu, Unified synchronization criteria for hybrid switching-impulsive dynamical networks. Circuits Syst. Signal Process. 34(5), 1499–1517 (2015)
    • (2015) Circuits Syst. Signal Process. , vol.34 , Issue.5 , pp. 1499-1517
    • Ji, Y.1    Liu, X.M.2
  • 21
    • 84925478712 scopus 로고    scopus 로고
    • New criteria for the robust impulsive synchronization of uncertain chaotic delayed nonlinear systems
    • Y. Ji, X.M. Liu et al., New criteria for the robust impulsive synchronization of uncertain chaotic delayed nonlinear systems. Nonlinear Dyn. 79(1), 1–9 (2015)
    • (2015) Nonlinear Dyn. , vol.79 , Issue.1 , pp. 1-9
    • Ji, Y.1    Liu, X.M.2
  • 22
    • 84942789947 scopus 로고    scopus 로고
    • Auxiliary model-based interval-varying multi-innovation least squares identification for multivariable OE-like systems with scarce measurements
    • Q.B. Jin, Z. Wang, X.P. Liu, Auxiliary model-based interval-varying multi-innovation least squares identification for multivariable OE-like systems with scarce measurements. J. Process Control 35, 154–168 (2015)
    • (2015) J. Process Control , vol.35 , pp. 154-168
    • Jin, Q.B.1    Wang, Z.2    Liu, X.P.3
  • 23
    • 84901931778 scopus 로고    scopus 로고
    • Least squares based iterative identification for multivariable integrating and unstable processes in closed loop
    • Q.B. Jin, Z. Wang, J. Wang, Least squares based iterative identification for multivariable integrating and unstable processes in closed loop. Appl. Math. Comput. 242, 10–19 (2014)
    • (2014) Appl. Math. Comput. , vol.242 , pp. 10-19
    • Jin, Q.B.1    Wang, Z.2    Wang, J.3
  • 24
    • 84885349673 scopus 로고    scopus 로고
    • Optimal input design for identifying parameters and orders of MIMO systems with initial values
    • Q.B. Jin, Z. Wang, Q. Wang, R.G. Yang, Optimal input design for identifying parameters and orders of MIMO systems with initial values. Appl. Math. Comput. 224, 735–742 (2013)
    • (2013) Appl. Math. Comput. , vol.224 , pp. 735-742
    • Jin, Q.B.1    Wang, Z.2    Wang, Q.3    Yang, R.G.4
  • 25
    • 84901188621 scopus 로고    scopus 로고
    • An effective direct closed loop identification method for linear multivariable systems with colored noise
    • Q.B. Jin, Z. Wang, R.G. Yang, J. Wang, An effective direct closed loop identification method for linear multivariable systems with colored noise. J. Process Control 24(5), 485–492 (2014)
    • (2014) J. Process Control , vol.24 , Issue.5 , pp. 485-492
    • Jin, Q.B.1    Wang, Z.2    Yang, R.G.3    Wang, J.4
  • 26
    • 84866035663 scopus 로고    scopus 로고
    • Parameter estimation for Hammerstein CARARMA systems based on the Newton iteration
    • J.H. Li, 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
  • 27
    • 84878217591 scopus 로고    scopus 로고
    • Robust state estimation for jump Markov linear systems with missing measurements
    • W.L. Li, Y.M. Jia, J.P. Du, J. Zhang, Robust state estimation for jump Markov linear systems with missing measurements. J. Frankl. Inst. 350(6), 1476–1487 (2013)
    • (2013) J. Frankl. Inst. , vol.350 , Issue.6 , pp. 1476-1487
    • Li, W.L.1    Jia, Y.M.2    Du, J.P.3    Zhang, J.4
  • 29
    • 77549084342 scopus 로고    scopus 로고
    • Least squares based iterative identification for a class of multirate systems
    • X.G. Liu, J. Lu, Least squares based iterative identification for a class of multirate systems. Automatica 46(3), 549–554 (2010)
    • (2010) Automatica , vol.46 , Issue.3 , pp. 549-554
    • Liu, X.G.1    Lu, J.2
  • 30
    • 30744439044 scopus 로고    scopus 로고
    • Identification of chemical processes with irregular output sampling
    • H. Raghavan, A.K. Tangirala, R.B. Gopaluni, S.L. Shah, Identification of chemical processes with irregular output sampling. Control Eng. Pract. 14(4), 467–480 (2006)
    • (2006) Control Eng. Pract. , vol.14 , Issue.4 , pp. 467-480
    • Raghavan, H.1    Tangirala, A.K.2    Gopaluni, R.B.3    Shah, S.L.4
  • 31
    • 84937861310 scopus 로고    scopus 로고
    • Maximum likelihood whitening pre-filtered total least squares for resolving closely spaced signals
    • C.F. So, S.H. Leung, Maximum likelihood whitening pre-filtered total least squares for resolving closely spaced signals. Circuits Syst. Signal Process. 34(8), 2739–2747 (2015)
    • (2015) Circuits Syst. Signal Process. , vol.34 , Issue.8 , pp. 2739-2747
    • So, C.F.1    Leung, S.H.2
  • 32
    • 85033399534 scopus 로고    scopus 로고
    • Iterative estimation for a nonlinear IIR filter with moving average noise by means of the data filtering technique. IMA J. Math
    • 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). doi:10.1093/imamci/dnv067
    • (2016) Control Inf
    • Wang, Y.J.1    Ding, F.2
  • 33
    • 84949293739 scopus 로고    scopus 로고
    • Convergence of the recursive identification algorithms for multivariate pseudo-linear regressive systems
    • X.H. Wang, F. Ding, Convergence of the recursive identification algorithms for multivariate pseudo-linear regressive systems. Int. J. Adapt. Control Signal Process. 30 (2015). doi:10.1002/acs.2642
    • (2015) Int. J. Adapt. Control Signal Process , pp. 30
    • Wang, X.H.1    Ding, F.2
  • 34
    • 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, F. Ding, Recursive parameter and state estimation for an input nonlinear state space system using the hierarchical identification principle. Signal Process. 117, 208–218 (2015)
    • (2015) Signal Process. , vol.117 , pp. 208-218
    • Wang, X.H.1    Ding, F.2
  • 35
    • 85014403577 scopus 로고    scopus 로고
    • Recursive maximum likelihood identification method for a multivariable controlled autoregressive moving average system. IMA J. Math
    • 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). doi:10.1093/imamci/dnv021
    • (2015) Control Inf
    • Wang, D.Q.1    Gao, Y.P.2
  • 36
    • 85027942049 scopus 로고    scopus 로고
    • Highly efficient identification methods for dual-rate Hammerstein systems
    • D.Q. Wang, H.B. Liu et al., Highly efficient identification methods for dual-rate Hammerstein systems. IEEE Trans. Control Syst. Technol. 23(5), 1952–1960 (2015)
    • (2015) IEEE Trans. Control Syst. Technol. , vol.23 , Issue.5 , pp. 1952-1960
    • Wang, D.Q.1    Liu, H.B.2
  • 37
    • 84905122934 scopus 로고    scopus 로고
    • Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique
    • C. Wang, T. Tang, 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
  • 38
    • 84945893659 scopus 로고    scopus 로고
    • Improved least squares identification algorithm for multivariable Hammerstein systems
    • D.Q. Wang, W. Zhang, Improved least squares identification algorithm for multivariable Hammerstein systems. J. Frankl. Inst. Eng. Appl. Math. 352(11), 5292–5370 (2015)
    • (2015) J. Frankl. Inst. Eng. Appl. Math. , vol.352 , Issue.11 , pp. 5292-5370
    • Wang, D.Q.1    Zhang, W.2
  • 39
    • 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, 660–667 (2016)
    • (2016) Signal Process. , vol.120 , pp. 660-667
    • Xu, L.1
  • 40
    • 84898647755 scopus 로고    scopus 로고
    • A proportional differential control method for a time-delay system using the Taylor expansion approximation
    • L. Xu, A proportional differential control method for a time-delay system using the Taylor expansion approximation. Appl. Math. Comput. 236, 391–399 (2014)
    • (2014) Appl. Math. Comput. , vol.236 , pp. 391-399
    • Xu, L.1
  • 41
    • 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, 33–43 (2015)
    • (2015) J. Comput. Appl. Math. , vol.288 , pp. 33-43
    • Xu, L.1
  • 42
    • 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, W.L. Xiong, Parameter estimation and controller design for dynamic systems from the step responses based on the Newton iteration. Nonlinear Dyn. 79(3), 2155–2163 (2015)
    • (2015) Nonlinear Dyn. , vol.79 , Issue.3 , pp. 2155-2163
    • Xu, L.1    Chen, L.2    Xiong, W.L.3
  • 43
    • 84901656470 scopus 로고    scopus 로고
    • Decomposition based least squares iterative estimation for output error moving average systems
    • W.G. Zhang, Decomposition based least squares iterative estimation for output error moving average systems. Eng. Comput. 31(4), 709–725 (2014)
    • (2014) Eng. Comput. , vol.31 , Issue.4 , pp. 709-725
    • Zhang, W.G.1


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