Closed-Loop Identification Using Laguerre Series Expansions for Second-Order Plus Time Delay Model

Abstract:

In this paper, a simple yet robust closed-loop identification method based on step response is presented. By approximating the process response firstly using Laguerre series expansions, a high-order process transfer function can be obtained. Then, a linear two-step reduction technique is used to reduce the high-order process to a second-order plus time delay model based on the frequency response data. This method is robust to measurement noise and it also does not need any numerical technique or iterative optimization. Simulation examples show the effectiveness of the proposed method for different process models. Comparison of identification performance between different methods is also illustrated in this work.

• Periodical: Applied Mechanics and Materials (Volumes 416-417)
• Pages: 822-833
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.416-417.822
• Online since: September 2013
• Authors: Qi Bing Jin, Si Nian Li, Qie Liu, Qi Wang
• Keywords: Closed-Loop Process Identification, Laguerre Series Expansions, Second-Order Plus Time Delay Model, Step Response

References

[1] Yuwana M, Seborg D E. A new method for on-line controller tuning[J]. AIChE Journal 1982, 28(3): 434-440.

DOI: 10.1002/aic.690280311

[2] Taiwo O. Comparison of four methods of on-line identification and controller tuning[J]. Control Theory and Applications, IEE Proceedings D, 1993, 140(5): 323-327.

DOI: 10.1049/ip-d.1993.0043

[3] Jutan A, Rodriguez E S. Extension of a new method for on-line controller tuning[J]. The Canadian Journal of Chemical Engineering Can. J. Chem. Eng., 1984, 62(6): 802-807.

DOI: 10.1002/cjce.5450620610

[4] Rangaiah G P, Krishnaswamy P R. Estimating second-order dead time parameters from underdamped process transients[J]. Chemical Engineering Science, 1996, 51(7): 1149-1155.

DOI: 10.1016/s0009-2509(96)80013-3

[5] Suganda P, Krishnaswamy P R, Rangaiah G P. On-Line Process Identification from Closed-Loop Tests Under PI Control[J]. Chemical Engineering Research and Design Process Operations and Control, 1998, 76(4): 451-457.

DOI: 10.1205/026387698525063

[6] Wang Q, Zhang Y, Guo X. Robust closed-loop identification with application to auto-tuning[J]. Journal of Process Control, 2001, 11(5): 519-530.

DOI: 10.1016/s0959-1524(00)00030-5

[7] Wang L, Cluett W R. Building transfer function models from noisy step response data using the Laguerre network[J]. Chemical Engineering Science, 1995, 50(1): 149-161.

DOI: 10.1016/0009-2509(94)00214-c

[8] Mamat R, Fleming P J. Method for on-line identification of a first order plus dead-time process model[J]. Electronics Letters, 1995, 31(15): 1297-1298.

DOI: 10.1049/el:19950865

[9] Park H I, Sung S W, Lee I, et al. On-Line Process Identification Using the Laguerre Series for Automatic Tuning of the Proportional-Integral-Derivative Controller[J]. Industrial & Engineering Chemistry Research, 19972013, 36(1): 101-111.

DOI: 10.1021/ie960329m

[10] .

[10] Silva R, Sbárbaro D, León De La Barra B A. Closed-Loop Process Identification under PI Control:  A Time Domain Approach[J]. Industrial & Engineering Chemistry Research, 20062013, 45(13): 4671-4678.

DOI: 10.1021/ie051229w

[11] Hirama Y, Hamane H, Hiroki F. Closed loop modelling method for non-linear system using Laguerre polynomials: Control Automation and Systems (ICCAS), 2010 International Conference on, 2010[C].

DOI: 10.1109/iccas.2010.5670327

[12] Wang L, Cluett W R. Optimal choice of time-scaling factor for linear system approximations using Laguerre models[J]. Automatic Control, IEEE Transactions on, 1994, 39(7): 1463-1467.

DOI: 10.1109/9.299635