The damping iterative parameter identification method for dynamical systems based on the sine signal measurement

Signal Processing

Volumn 120, Issue , 2016, Pages 660-667

  Xu, Ling ^a,b  

^a Wuxi Institute of Commerce   (China)

^b JIANGNAN UNIVERSITY   (China)

Author keywords

Damping iteration; Frequency response; Iterative identification; Parameter estimation; Sine signal

Indexed keywords

ALGORITHMS; DAMPING; DYNAMICAL SYSTEMS; FREQUENCY ESTIMATION; FREQUENCY RESPONSE; IDENTIFICATION (CONTROL SYSTEMS); ITERATIVE METHODS; NONLINEAR PROGRAMMING; OPTIMIZATION; SIGNAL PROCESSING;

DAMPING PARAMETERS; ILL-CONDITIONED MATRICES; ITERATIVE ALGORITHM; ITERATIVE IDENTIFICATION; ITERATIVE PARAMETER ESTIMATION; NON-LINEAR OPTIMIZATION; NONLINEAR OBJECTIVE FUNCTIONS; PARAMETER IDENTIFICATION METHODS;

PARAMETER ESTIMATION;

EID: 84947087879     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2015.10.009     Document Type: Article

References (37)

1. F. Ding System Identification - New Theory and Methods 2013 Science Press Beijing
2. M. Dehghan, and M. Hajarian An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices Appl. Math. Model. 34 3 2010 639 654
3. F. Ding Transformations between some special matrices Comput. Math. Appl. 59 8 2010 2676 2695
4. F. Ding Computation of matrix exponentials of special matrices Appl. Math. Comput. 223 2013 311 326
5. F. Ding State filtering and parameter estimation for state space systems with scarce measurements Signal Process. 104 2014 369 380
6. F. Ding, X.M. Liu, H.B. Chen, and G.Y. Yao Hierarchical gradient based and hierarchical least squares based iterative parameter identification for CARARMA systems Signal Process. 97 2014 31 39
7. Y.J. Liu, F. Ding, and Y. Shi An efficient hierarchical identification method for general dual-rate sampled-data systems Automatica 50 3 2014 962 970
8. J. Vörös Iterative algorithm for parameter identification of Hammerstein systems with two-segment nonlinearities IEEE Trans. Autom. Control 44 11 1999 2145 2149
9. F. Ding Two-stage least squares based iterative estimation algorithm for CARARMA system modeling Appl. Math. Model. 37 7 2013 4798 4808
10. J.H. Xu An iterative algorithm for computing mean first passage times of Markov chains Appl. Math. Comput. 250 2015 372 389
11. H.B. Chen, Y.S. Xiao, and F. Ding Hierarchical gradient parameter estimation algorithm for Hammerstein nonlinear systems using the key term separation principle Appl. Math. Comput. 247 2014 1202 1210
12. C.E. Chidume, and N. Djitté An iterative method for solving nonlinear integral equations of Hammerstein type Appl. Math. Comput. 219 10 2013 5613 5621
13. Y. Gu, F. Ding, and J.H. Li States based iterative parameter estimation for a state space model with multi-state delays using decomposition Signal Process. 106 2015 294 300
14. A.G. Wu, L.L. Lv, and G.R. Duan Iterative algorithms for solving a class of complex conjugate and transpose matrix equations Appl. Math. Comput. 21 1 2011 8343 8353
15. L. Xu Application of the Newton iteration algorithm to the parameter estimation for dynamical systems J. Comput. Appl. Math. 288 2015 33 43
16. H.M. Zhang, and F. Ding A property of the eigenvalues of the symmetric positive definite matrix and the iterative algorithm for coupled Sylvester matrix equations J. Frank. Inst. - Eng. Appl. Math. 351 1 2014 340 357
17. F. Ding, and H.M. Zhang Gradient-based iterative algorithm for a class of the coupled matrix equations related to control systems IET Control Theory Appl. 8 15 2014 1588 1595
18. X.P. Ding Iterative algorithm of solutions for a system of generalized mixed implicity equilibrium problems in reflexive Banach spaces Appl. Math. Comput. 218 9 2012 4953 4961
19. R.C. Panda, V. Vijayan, V. Sujatha, P. Deepa, D. Manamali, and A.B. Mandal Parameter estimation of integrating and time delay processes using single relay feedback test ISA Trans. 50 4 2011 529 537
20. E. Hidayat, and A. Medvedev Laguerre domain identification of continuous linear time-delay systems from impulse response data Automatica 48 11 2012 2902 2907
21. T. Liu, and F.R. Gao A frequency domain step response identification method for continuous-time processes with time delay J. Process Control 20 7 2010 800 809
22. 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
23. K. Kim, Y.J. Cheon, I.B. Lee, J. Lee, and S.H. Sung A frequency response identification method for discrete-time processes with cyclic steady state conditions Automatica 50 12 2014 3260 3267
24. F. Ding System Identification - Performances Analysis for Identification Methods 2014 Science Press Beijing
25. F. Ding, Y.J. Wang, and J. Ding Recursive least squares parameter identification for systems with colored noise using the filtering technique and the auxiliary model Digital Signal Process. 37 2015 100 108
26. Y. Gu, F. Ding, and J.H. Li State filtering and parameter estimation for linear systems with d-step state-delay IET Signal Process. 8 6 2014 639 646
27. F. Ding Decomposition based fast least squares algorithm for output error systems Signal Process. 93 5 2013 1235 1242
28. L. Xu A proportional differential control method for a time-delay system using the Taylor expansion approximation Appl. Math. Comput. 236 2014 391 399
29. C. Udriste, M. Ferrara, D. Zugrəvescu, and F. Munteanu Controllability of a nonholonomic macroeconomic system J. Optim. Theory Appl. 154 3 2012 1036 1054
30. K. Levenberg A method for the solution of certain non-linear problems in least squares Q. Appl. Math. 2 2 1944 164 168
31. D.W. Marquardt An algorithm for the least-squares estimation of non-linear parameters SIAM J. Appl. Math. 11 2 1963 431 441
32. C. Ling, G.F. Wang, and H.J. He A new Levenberg-Marquardt type algorithm for solving nonsmooth constrained equations Appl. Math. Comput. 229 25 2014 107 122
33. A. Kleefeld, and M. Reißel The Levenberg-Marquardt method applied to a parameter estimation problem arising from electrical resistivity tomography Appl. Math. Comput. 217 9 2011 4490 4501
34. F. Ding, K.P. Deng, and X.M. Liu Decomposition based Newton iterative identification method for a Hammerstein nonlinear FIR system with ARMA noise Circuits Syst. Signal Process. 33 9 2014 2881 2893
35. J.H. Li Parameter estimation for Hammerstein CARARMA systems based on the Newton iteration Appl. Math. Lett. 26 1 2013 91 96
36. Y. Ji, X.M. Liu, and et al. New criteria for the robust impulsive synchronization of uncertain chaotic delayed nonlinear systems Nonlinear Dyn. 79 1 2015 1 9
37. 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 http://dx.doi.org/10.1007/s00034-015-0190-6