A new approach for ARMA pole estimation using higher-order crossings

Proceedings of the American Control Conference

Volumn 7, Issue , 2005, Pages 4458-4463

  Salsbury, Timothy I ^a   Singhal, Ashish ^a  

^a JOHNSON CONTROLS INC   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; DATA REDUCTION; MATHEMATICAL MODELS;

AUTOCORRELATION DOMAIN; CONTROL LOOPS; POLE ESTIMATION;

PROCESS CONTROL;

EID: 23944526781     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (28)

1. Åström, K. J. 1970. "Introduction to Stochastic Control Theory". Academic Press, New York and London.
2. Box, G. E. P., Jenkins, G. M. and Reinsel, G. 1994. "Time-Series Analysis: Forecasting & Control", 3rd Edition, Prentice Hall, Upper Saddle Rive, NJ.
3. Hamilton, J. D. 1994. "Time-Series Analysis". Princeton University Press, Princeton, NJ.
4. Ljung, L. 1998. "System Identification: Theory for the User", 2nd Edition. Prentice Hall, Upper Saddle River, NJ.
5. Brockwell, P. J. and Davis, R. A. 2002. "Introduction to Time-Series and Forecasting", 2nd Edition. Springer-Verlag, New York.
6. Harris, T. J. 1989. "Assessment of Control Loop Performance". Canadian Journal of Chemical Engineering. Volume 67. Page 856.
7. Kammer, L. C., R. R. Bitmead, P. L. Bartlett. 1998. "Optimal controller properties from closed-loop experiments". Automatica. Volume 34. Number 1. Page 83-91.
8. Lee, D. T. L., Friedlander, B. and Morf, M. 1981. "Recursive Ladder Algorithms for ARMA Modeling". IEEE Trans. Automatic Control, Volume AC-27, Pages 753-764.
9. Moses, R. L., Cadzow, J. A. and Beex, A. A. 1985. "A Recursive Procedure for ARMA Modeling". IEEE Trans. Acoust. Speech & Signal Process. Volume ASSP-33, Pages 1188-1196.
10. Desborough, L., T. Harris. 1992. "Performance Assessment Measures for Univariate Feedback Control". The Canadian Journal of Chemical Engineering. Volume 70. December 1992. Pages 1186-1197.
11. Liao, Y. C. 1989. "Order recursive algorithm for ARMA identification". In IEEE International Conference on Systems Engineering Aug 24-26, Fairborn, OH, Pages 209-211.
12. Efe, M. O., Kaynak, O. and Wilamowski, B. M. 2002. "A Robust Identification Method for Time-Varying ARMA Processes Based on Variable Structure Systems Theory". Mathematical and Computer Modelling of Dynamical Systems, Volume 8, Pages 185-198.
13. Strobach, P. 1988. "Recursive Covariance Ladder Algorithms for ARMA System Identification". IEEE Transactions on Acoustics, Speech, and Signal Processing, Volume 36, Page 560-580.
14. Friedlander, B., K. Sharman. 1985. "Performance of the Modified Yule-Walker Estimator". IEEE Transactions on Acoustics Speech and Signal Processing". Volume ASSP-33. Number 3. Page 719.
15. Liang, Ying-Chang, Xian-Da Zhang, Yan-Da Li. 1995. "A Hybrid Approach to Time Series Analysis and Spectral Estimation". Proceedings of the American Controls Conference, Seattle, Washington. Page 124.
16. Moses, R., P. Stoica, B. Friedlander, T. Söderström. 1987. "An Efficient Linear Method of ARMA Spectral Estimation". Proceedings of the IEEE. Page 2077.
17. Pintelon, R., Guillaume, P., Rolain, Y., Schoukens, J. and Van hamme, H. 1994. "Parametric Identification of Transfer Functions in the Frequency Domain". IEEE Trans. Automatic Control, Volume 39, Pages 2245-2260.
18. Kac, M. 1943. "On the Average Number of Real Roots of a Random Algebraic Equation". Bulletin of American Mathematical Society. Volume 49. Pages 314-320.
19. Rice, S. O. 1945. "Mathematical Analysis of Random Noise". Bell Systems Technical Journal. Volume 24. Pages 46-156.
20. Cramér, H., M. R. Leadbetter. 1967. "Stationary and Related Stochastic Processes". John Wiley & Sons, NY.
21. Kedem, B. 1980. "Estimation of the Parameters in Stationary Autoregressive Processes After Hard Limiting". Journal of American Statistical Association. Volume 75. Number 369. Pages 146-153.
22. Kedem, B. 1986. "Spectral Analysis and Discrimination by Zero-Crossings". Proceedings of the IEEE. Volume 74. Number 11. Pages 1577-1493.
23. Kedem, B. 1994. "Time Series Analysis by Higher Order Crossings". Published by IEEE Press, New York. W.-K. Chen, Linear Networks and Systems (Book style). Belmont, CA: Wadsworth, 1993, pp. 123-135.
24. Barnett, J. T., B. Kedem. 1991. "Zero-Crossing Rates of Functions of Gaussian Processes". IEEE Transactions on Information Theory. Volume 37. Number 4. Pages 1188-1194.
25. McFadden, J. A. 1956. "The Axis-Crossing Interval of Random Functions". IRE Transactions on Information Theory. Volume IT-2. Pages 146-150.
26. Thornhill, N.F., and Hägglund, T. 1997. "Detection and Diagnosis of Oscillation in control Loops", Control Engineering Practice, Volume 5, Pages 1343-1354.
27. Miao, T. and Seborg, D. E. 1999. "Automatic Detection of Excessively Oscillatory Feedback Control Loops". In Proc. 1999 IEEE Intl. Conf. on Control Applications, Kohala Coas - Island of Hawaii, Aug 22-27, Pages 359-364.
28. Campi, M. C. 1996. "Problem of Pole-Zero Cancellation in Transfer Function Identification and Application to Adaptive Stabilization". Automatica. Volume 32. Page 849-857.