Least squares based iterative identification for multivariable integrating and unstable processes in closed loop

Applied Mathematics and Computation

Volumn 242, Issue , 2014, Pages 10-19

  Jin, Qibing ^a   Wang, Zhu ^a   Wang, Jing ^a  

^a BEIJING UNIVERSITY OF CHEMICAL TECHNOLOGY   (China)

Author keywords

Closed loop; Iterative identification; Least squares; Multivariable integrating and unstable processes; SOPDT model

Indexed keywords

ALGORITHMS; CLOSED LOOP SYSTEMS;

CLOSED LOOPS; ITERATIVE IDENTIFICATION; LEAST SQUARE; SOPDT MODEL; UNSTABLE PROCESS;

ITERATIVE METHODS;

EID: 84901931778     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2014.05.059     Document Type: Article

References (30)

1. F. Garelli, R.J. Mantz, and H.D. Battista Limiting interactions in decentralized control of MIMO systems J. Process Control 16 5 2006 473 483 (Pubitemid 43132904)
2. Q. Jin, Z. Chen, J. Dou, L. Cao, and K. Wang A novel closed loop identification method and its application of multivariable system J. Process Control 22 1 2012 132 144
3. H. Mei, and S. Li Decentralized identification for multivariable integrating processes with time delays from closed loop step tests ISA Trans. 46 2 2007 189 198 (Pubitemid 46435872)
4. A. Esmaili, J.F. MacGregor, and P.A. Taylor Direct and two-step methods for closed loop identification: a comparison of asymptotic and finite data set performance J. Process Control 10 6 2000 525 537
5. A.S. Badwe, S.C. Patwardhan, and R.D. Gudi Closed loop identification using direct approach and high order ARX/GOBF-ARX models J. Process Control 21 7 2011 1056 1071
6. L. Ljung System Identification: Theory for the User second ed. 1999 Prentice Hall Inc Englewood Cliffs, NJ
7. D. Wang, and F. Ding Least squares based and gradient based iterative identification for Wiener nonlinear systems Signal Process. 91 5 2011 1182 1189
8. Y. Liu, F. Ding, and Y. Shi An efficient hierarchical identification method for general dual-rate sampled-data systems Automatica 50 3 2014 962 970
9. D. Wang, F. Ding, and X. Liu Least squares algorithm for an input nonlinear system with a dynamic subspace state space model Nonlinear Dyn. 75 1-2 2014 49 61
10. D. Wang, and F. Ding Hierarchical least squares estimation algorithm for Hammerstein-Wiener systems IEEE Signal Proc. Lett. 19 12 2012 825 828
11. F. Ding, X. Liu, H. Chen, and G. Yao Hierarchical gradient based and hierarchical least squares based iterative parameter identification for CARARMA systems Signal Process. 97 2014 31 39
12. J. Ding, F. Ding, and S. Zhang Parameter identification of multi-input, single-output systems based on FIR models and least squares principle Appl. Math. Comput. 197 1 2008 297 305 (Pubitemid 351215497)
13. F. Ding Combined state and least squares parameter estimation algorithms for dynamic systems Appl. Math. Model. 38 1 2014 403 412
14. F. Ding, P.X. Liu, and G. Liu Multi-innovation least-squares identification for system modeling IEEE Trans. Syst. Man Cybern. B 40 3 2010 767 778
15. J. Ding, F. Ding, X.P. Liu, and G. Liu Hierarchical least squares identification for linear SISO systems with dual-rate sampled-data IEEE Ttans. Autom. Control 56 11 2011 2677 2683
16. F. Ding, H. Chen, and M. Li Multi-innovation least squares identification methods based on the auxiliary model for MISO systems Appl. Math. Comput. 187 2 2007 658 668 (Pubitemid 46627857)
17. D. Wang, F. Ding, and Y. Chu Data filtering based recursive least squares algorithm for Hammerstein systems using the key-term separation principle Inf. Sci. 222 2013 203 212
18. T. Liu, and F.R. Gao Closed loop step response identification of integrating and unstable processes Chem. Eng. Sci. 65 10 2010 2884 2895
19. Q. Wang, X. Guo, and Y. Zhang Direct identification of continuous time delay systems from step responses J. Process Control 11 5 2001 531 542 (Pubitemid 32746927)
20. F. Ding, P.X. Liu, and G. Liu Gradient based and least-squares based iterative identification methods for OE and OEMA systems Digital Signal Process. 20 3 2010 664 677
21. F. Ding Two-stage least squares based iterative estimation algorithm for CARARMA system modeling Appl. Math. Model. 37 7 2013 4798 4808
22. H. Han, L. Xie, F. Ding, and X. Liu Hierarchical least-squares based iterative identification for multivariable systems with moving average noises Math. Comput. Model. 51 9-10 2010 1213 1220
23. TD = F Appl. Math. Comput. 217 5 2010 2191 2199
24. H. Hu, and F. Ding An iterative least squares estimation algorithm for controlled moving average systems based on matrix decomposition Appl. Math. Lett. 25 12 2012 2332 2338
25. F. Ding, X.P. Liu, and J. Ding Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle Appl. Math. Comput. 197 1 2008 41 50 (Pubitemid 351215477)
26. C.K. Yoo, H.J. Kwak, and I.B. Lee Direct identification method of second order plus time delay model parameters Chem. Eng. Res. Des. 79 7 2001 754 764 (Pubitemid 33073075)
27. Y. Du, J.S.H. Tsai, H. Patil, L.S. Shieh, and Y. Chen Indirect identification of continuous-time delay systems from step responses Appl. Math. Model. 35 2 2011 594 611
28. Q. Wang, and Y. Zhang Robust identification of continuous systems with dead-time from step responses Automatica 37 3 2001 377 390 (Pubitemid 32092417)
29. G. Fedele A new method to estimate a first-order plus time delay model from step response J. Franklin Inst. 346 1 2009 1 9
30. H. Mei, S. Li, W. Cai, and Q. Xiong Decentralized closed loop parameter identification for multivariable processes from step responses Math. Comput. Simul. 68 2 2005 171 192 (Pubitemid 40539038)