Parameter Identification and Intersample Output Estimation of a Class of Dual-Rate Systems

Proceedings of the IEEE Conference on Decision and Control

Volumn 5, Issue , 2003, Pages 5555-5560

  Ding, Feng ^a   Chen, Tongwen ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Convergence properties; Least squares optimization; Multirate systems; Output estimation; System identification

Indexed keywords

ALGORITHMS; COMPUTER HARDWARE; COMPUTER SIMULATION; FREQUENCIES; IDENTIFICATION (CONTROL SYSTEMS); MATHEMATICAL MODELS; OPTIMIZATION; PROBLEM SOLVING; REGRESSION ANALYSIS;

CONVERGENCE PROPERTIES; DUAL-RATE SYSTEMS; LEAST SQUARES OPTIMIZATIONS; MULTIRATE SYSTEMS; OUTPUT ESTIMATION;

PARAMETER ESTIMATION;

EID: 1542289795     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2003.1272522     Document Type: Conference Paper

References (32)

1. D. Li, S.L. Shah and T. Chen, "Analysis of dual-rate inferential control systems," Automatica, vol. 38, pp. 1053-1059, 2002.
2. D. Li, S.L. Shah, T. Chen and K.Z. Qi, "Application of dual-rate modeling to CCR octane quality inferential control," IEEE Trans. on Control Systems Technology, vol. 11, pp. 43-51, 2003.
3. G.M. Kranc, "Input-output analysis of multirate feedback systems," IRE Trans. on Automatic Control, vol. 3, pp. 2128, 1957.
4. B. Friedland, "Sampled-data control systems containing periodically varying members," Proc. of the First IFAC Congress, pp. 361-367, 1960.
5. H.M. Al-Rahmani and G.F. Franklin, "A new optimal multirate control of linear periodic and time-invariant systems," IEEE Trans. Automat. Contr., vol. 35, pp. 406-415, 1990.
6. H.M. Al-Rahmani and G.F. Franklin, "Multirate control: A new approach," Automatica, vol. 28, pp. 35-44, 1992.
7. T. Chen and B.A. Francis, Optimal Sampled-data Control Systems. London: Springer, 1995.
8. ∞ design of general multirate sampleddata control systems," Automatica, vol. 30, pp. 1139-1152, 1994.
9. ∞ suboptimal controllers and the minimum entropy controller," IEEE Trans. Automat. Contr., vol. 44, pp. 537-550, 1999.
10. ∞ control problem: a lifting approach," IEEE Trans. Automat. Contr., vol. 45, pp. 2345-2350, 2000.
11. J.H. Lee, M.S. Gelormino and M. Morari, "Model predictive control of multirate sampling-data systems: A state-space approach," Int. J. Control, vol. 55, pp. 153-191, 1992.
12. R. Scattolini and N. Schiavoni, "A multirate model-based predictive controller," IEEE Trans. Automat. Contr., vol. 40, pp. 1093-1097, 1995.
13. K.V. Ling and K.W. Lim, "A state-space GPC with extensions to multirate control," Automatica, vol. 32, pp. 1067-1071, 1996.
14. I. Sheng, T. Chen and S.L. Shah, "Generalized predictive control for non-uniformly sampled systems," J. Process Control, vol. 12, pp. 875-885, 2002.
15. P. Albertos, J. Salt and J. Tormero, "Dual-rate adaptive control," Automatica, vol. 32, pp. 1027-1030, 1996.
16. R. Scattolini, "Self-tuning control of systems with infrequent and delayed output sampling," IEE Proceedings, Part D, Control Theory and Applications, vol. 135, pp. 213-221, 1988.
17. C. Zhang, R.H. Middleton and R.J. Evans, "An algorithm for multirate sampling adaptive control," IEEE Trans. Automat. Contr., vol. 34, pp. 792-795, 1989.
18. J.H. Lee and M. Morari, "Robust inferential control of multirate sampling-data systems," Chemical Engineering Science, vol. 47, pp. 865-885, 1992.
19. D. Li, S.L. Shah and T. Chen, "Identification of fast-rate models from multirate data," Int. J. Control, vol. 74, pp. 680-689, 2001.
20. W.P. Lu and D.G. Fisher, "Output estimation with multi-rate sampling," Int. J. Control, vol. 48, pp. 149-160, 1988.
21. W.P. Lu and D.G. Fisher, "Least-squares output estimation with multirate sampling," IEEE Trans. Automat. Contr., vol. 34, pp. 669-672, 1989.
22. W.P. Lu, D.G. Fisher and S.L. Shah, "Multirate constrained adaptive control," Int. J. Control, vol. 51, pp. 1439-1456, 1990.
23. W.P. Lu and D.G. Fisher, "Multirate adaptive inferential estimation. IEE Proceedings, Part D, Control Theory and Applications, vol. 139, pp. 181-189, 1992.
24. I. Mitsuaki, K. Masaki and N. Hiroaki, "Ripple-suppressed multirate adaptive control," 15th IFAC World Congress, Barcelona, Spain, 2002.
25. G.C. Goodwin and K.S. Sin, Adaptive Filtering Prediction and Control. Englewood Cliffs, NJ: Prentice-hall, 1984.
26. T.L. Lai and C.Z. Wei, "Least squares estimates in stochastic regression models with applications to identification and control of dynamic systems," Ann. Math. Stat. vol. 10, pp. 154-166, 1982.
27. T.L. Lai and C.Z. Wei, "Extended least squares and their applications to adaptive control and prediction in linear systems," IEEE Trans. Automat. Contr., vol. 31, pp. 898-906, 1986.
28. F. Ding, and T. Ding, "Convergence of forgetting factor least square algorithms," 2007 IEEE Pacific Rim Conference on Communications, Computers and Signal Processing (PACRIM'01), University of Victoria, Victoria, B.C., Canada, pp. 433-436, August 26-28, 2001.
29. _, "Mean square convergence of multi-innovation forgetting gradient identification," 2007 IEEE PACRIM'01, Victoria, B.C., Canada, pp. 437-440, August 26-28, 2001.
30. L. Ljung, System Identification: Theory for the User (2nd Edition). Englewood Cliffs, NJ: Prentice Hall, 1999.
31. C.Z. Wei, "Adaptive prediction by least squares prediction in stochastic regression models," Ann. Statist. vol. 15, pp. 1667-1682, 1987.
32. L. Guo and H.F. Chen, "The Åström-Wittenmark self-tuning regulator revisited and ELS-base adaptive trackers," IEEE Trans. Automat. Contr., vol. 36, pp. 802-812, 1991.