Finding the source of nonlinearity in a process with plant-wide oscillation

IEEE Transactions on Control Systems Technology

Volumn 13, Issue 3, 2005, Pages 434-443

  Thornhill, Nina F ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Fault diagnosis; Harmonics; Limit cycles; Nonlinearities; Spectral analysis; Surrogate data; Time series

Indexed keywords

ALGORITHMS; DISCRETE FOURIER TRANSFORMS; FEEDBACK CONTROL; IDENTIFICATION (CONTROL SYSTEMS); MATRIX ALGEBRA; OSCILLATIONS; SPECTRUM ANALYSIS;

FAULT DIAGNOSIS; HARMONICS; LIMIT CYCLES; PLANT WIDE OSCILLATION; SURROGATE DATA;

CONTROL NONLINEARITIES;

EID: 18844411850     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCST.2004.839570     Document Type: Article

References (35)

1. J. P. Shunta, Achieving World Class Manufacturing Through Process Control. Englewood Cliffs, NJ: Prentice-Hall, 1995.
2. K. J. Åström, "Assessment of achievable performance of simple feedback loops," in Int. J. Adapt. Control Signal Process., vol. 5, 1991, pp. 3-19.
3. F. G. Shinskey, "The three faces of control valves," Control Eng. , Jul. 2000.
4. S. F. Graebe, G. C. Goodwin, and G. Elsley, "Control design and implementation in continuous steel casting," IEEE Control Syst. Mag. , vol. 15, no. 4, pp. 64-71, Aug. 1995.
5. D. B. Ender, "Process control performance: Not as good as you think," Control Eng., pp. 180-190, Sep. 1993.
6. L. Desborough and R. Miller, "Increasing customer value of industrial control performance monitoring Honeywell's experience," in Proc. AIChE Symp. Ser., vol. 98, 2002, pp. 153-186.
7. M. A. Paulonis and J. W. Cox, "A practical approach for large-scale controller performance assessment, diagnosis, and improvement," J. Process Control, vol. 13, pp. 155-168, 2003.
8. H. Kantz and T. Schreiber, Nonlinear Time Series Analysis, Cambridge, U.K.: Cambridge Univ. Press, 1997.
9. N. F. Thornhill, S. L. Shah, and B. Huang, "Detection of distributed oscillations and root-cause diagnosis," in Proc. CHEMFAS4, Korea, Jun. 7-8, 2001, pp. 167-172.
10. N. F. Thornhill, J. W. Cox, and M. Paulonis, "Diagnosis of plant-wide oscillation through data-driven analysis and process understanding," Control Eng. Pract., vol. 11, pp. 1481-1490, 2003.
11. J. Theiler, S. Eubank, A. Longtin, B. Galdrikian, B. Farmer, and J. D. Farmer, "Testing for nonlinearity in time-series - The method of surrogate data," Physica D, vol. 58, pp. 77-94, 1992.
12. M. C. Casdagli, L. D. Iasemidis, J. C. Sackellares, S. N. Roper, R. L. Gilmore, and R. S. Savit, "Characterizing nonlinearity in invasive EEG recordings from temporal lobe epilepsy," Physica D, vol. 99, pp. 381-399, 1996.
13. J. Timmer, U. Schwarz, H. U. Voss, I. Wardinski, T. Belloni, G. Hasinger, M. van der Klis, and J. Kurths, "Linear and nonlinear time series analysis of the black hole candidate Cygnus X-1," Phys. Rev. E, vol. 61, pp. 1342-1352, 2000.
14. T. S. Rao and M. M. Gabr, "A test for linearity and stationarity of time series," J. Time Ser. Anal., vol. 1, pp. 145-158, 1980.
15. M. J. Hinich, "Testing for gaussianity and linearity of a stationary time series," J. Time Ser. Anal., vol. 3, pp. 169-176, 1982.
16. C. L. Nikias and A. P. Petropulu, Higher-Order Spectra: A Nonlinear Signal Processing Framework. Englewood Cliffs, NJ: Prentice-Hall, 1993.
17. M. A. A. S. Choudhury, S. L. Shah, and N. F. Thornhill, "Diagnosis of poor control loop performance using higher order statistics," Automatica, vol. 40, pp. 1719-1728, 2004.
18. H. E. Emara-Shabaik, J. Bomberger, and D. E. Seborg, "Cumulant/ bispectrum model structure identification applied to a ph neutralization process," in Proc. Inst. Elect. Eng. Control Conf., Exeter, U.K., 1996, pp. 1046-1051.
19. X. Zang and J. Howell, "Discrimination between bad tuning and nonlinearity induced oscillations through bispectral analysis," in Proc. SICE Annu. Conf., Fukui, Japan, Aug. 6-8, 2003.
20. N. F. Thornhill and T. Hägglund, "Detection and diagnosis of oscillation in control loops," Control Eng. Pract., vol. 5, pp. 1343-1354, 1997.
21. T. J. Harris, C. T. Seppala, P. J. Jofreit, and B. W. Surgenor, "Plantwide feedback control performance assessment using an expert system framework," Control Eng. Pract., vol. 9, pp. 1297-1303, 1996.
22. N. F. Thornhill, M. Oettinger, and P. Fedenczuk, "Performance assessment and diagnosis of refinery control loops," in Proc. AIChE Symp. Ser., vol. 94, 1998, pp. 373-379.
23. M. Ruel and J. Gerry, "Quebec quandary solved by Fourier transform," Intech, pp. 53-55, Aug. 1998.
24. C. Aldrich and M. Barkhuizen, "Process system identification strategies based on the use of singular spectrum analysis," Minerals Eng., vol. 16, pp. 815-826, 2003.
25. J. P. Barnard, C. Aldrich, and M. Gerber, "Identification of dynamic process systems with surrogate data methods," AIChE J., vol. 47, pp. 2064-2075, 2001.
26. C. J. Stam, J. P. M. Pijn, and W. S. Pritchard, "Reliable detection of nonlinearity in experimental time series with strong periodic components," Physica D, vol. 112, pp. 361-380, 1998.
27. M. Small and C. K. Tse, "Applying the method of surrogate data to cyclic time series," Physica D, vol. 164, pp. 187-201, 2002.
28. G. Sugihara and R. M. May, "Nonlinear forecasting as a way of distinguishing chaos from measurement error in time-series," Nature , vol. 344, pp. 734-741, 1990.
29. T. Schreiber, "Interdisciplinary application of nonlinear time series methods," Phys. Rep.-Rev. Sect. Phys. Lett., vol. 308, pp. 2-64, 1999.
30. C. Rhodes and M. Morari, "Determining the model order of nonlinear input/output systems," AIChE J., vol. 44, pp. 151-163, 1998.
31. Control Loop Performance - ProcessDoctor (2004, Feb. 15). [Online]. Available: http://www.matrikon.com/products/processdoc/
32. Plant Triage (2004, Feb. 15). [Online]. Available: http://www.expertune. com/planttriage.html
33. C. Rhodes and M. Morari, "The false nearest neighbors algorithm: An overview," Comput. Chem. Eng., vol. 21, pp. S1149-S1154, 1997.
34. R. Hegger, H. Kantz, and T. Schreiber, "TISEAN 2.1 Surrogates Manual, Periodicity Artefacts,", http://www.mpipks-dresden.mpg.de/ ~tisean/TISEAN_2.1/index.html, Feb. 15, 2004. Retrieved.
35. N. F. Thornhill, S. L. Shah, B. Huang, and A. Vishnubhotla, "Spectral principal component analysis of dynamic process data," Control Eng. Pract., vol. 10, pp. 833-846, 2002.