Consistent estimation of real NMP zeros in stable LTI systems of arbitrary complexity

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 15, Issue PART 1, 2009, Pages 922-927

  Rojas, Cristian R ^a   Hjalmarsson, Håkan ^a   Gerencsér, László ^b   Mårtensson, Jonas ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b INSTITUTE FOR COMPUTER SCIENCE AND CONTROL   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

CONSISTENT ESTIMATION; FINITE DIMENSIONAL; FINITE IMPULSE RESPONSE MODEL; LINEAR TIME INVARIANT SYSTEMS; LTI SYSTEMS; NON-MINIMUM PHASE ZERO;

IDENTIFICATION (CONTROL SYSTEMS); IMPULSE RESPONSE; INVARIANCE; LINEAR SYSTEMS;

REAL TIME SYSTEMS;

EID: 78651310565     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20090706-3-FR-2004.0290     Document Type: Conference Paper

References (38)

1. th World Congress on Automatic Control, Prague, Czech Republik, 2005. IFAC. Paper Tu-A13-TO/1.
2. D.S. Bayard, Y. Yam, and E. Mettler. A criterion for joint optimization of identification and robust control. IEEE Trans. Automatic Control, 37:986-991, 1992.
3. ∞ identification. IEEE Transactions on Automatic Control, 43(5):694-700, 1998.
4. R.A. de Callafon and P.M.J. Van den Hof. Connecting system identification and robust control by a factorization approach. In 11th IFAC Symposium on System Identification, volume 1, pages 117-122, Fukuoka, Japan, 1997.
5. S.A. Eker and M. Nikolaou. Linear control of nonlinear systems: Interplay between nonlinearity and feedback. AIChE Journal, 48(9):1957-1980, 2002. (Pubitemid 36172986)
6. L. Gerencsér and H. Hjalmarsson. Adaptive input design in system identification. In Proc. of the 44th IEEE Conference on Decision and Control and European Control Conference, pages 4988-4993, Seville, Spain, December 12-15 2005.
7. L. Gerencsér, H. Hjalmarsson, and J. Mårtensson. Adaptive input design for ARX systems. In European Control Conference, Kos, Greece, July 2-5 2007.
8. L. Gerencsér, H. Hjalmarsson, and J. Mårtensson. Identification of ARX systems with non-stationary inputs asymptotic analysis with application to adaptive input design. Automatica, 45:623-633, 2009.
9. M. Gevers. Connecting identification and robust control: A new challenge. In Proc. IFAC/IFORS Symposium on Identification and System Parameter Estimation, Budapest, Hugary, 1991.
10. M. Gevers. Towards a joint design of identification and control? In H. L. Trentelman and J. C. Willems, editors, Essays on Control: Perspectives in the Theory and its Applications. Birkhäuser, 1993.
11. M. Gevers and L. Ljung. Optimal experiment designs with respect to the intended model application. Automatica, 22:543-554, 1986. (Pubitemid 17465673)
12. G.C. Goodwin. Identification and robust control: Bridging the gap. In Proceedings 7th IEEE Mediterranean Conference on Control and Automation, Haifa, Israel, 1999.
13. G.C. Goodwin, M. Gevers, and B. Ninness. Quantifying the error in estimated transfer functions with application to model order selection. IEEE Trans. Automatic Control, 37:913-928, 1992.
14. R. Hildebrand and M. Gevers. Identification for control: Optimal input design with respect to a worst-case V-gap cost function. SIAM J. Control Optim, 41(5):1586-1608, 2003.
15. H. Hjalmarsson. From experiment design to closed loop control. Automatica, 41(3):393-438, March 2005. (Pubitemid 40183241)
16. H. Hjalmarsson, J. Mårtensson, and B. Wahlberg. On some robustness issues in input design. In 14th IFAC Symposium on System Identification, Newcastle, Australia, March 2006.
17. E.W. Jacobsen. Identification for control of strongly interactive plants. In Proceedings AIChE Annual Meeting, San Fransico, California, USA, 1994. Paper 226ah.
18. H. Jansson. Experiment Design with Applications in Identification for Control. PhD thesis, S3-Automatic Control, Royal Institute of Technology, Stockholm, Sweden, 2004.
19. 2 input design. In IEEE Conference on Decision and Control, Bahamas, December 2004.
20. H. Jansson and H. Hjalmarsson. Input design via LMIs admitting frequency-wise model specifications in confidence regions. IEEE Transactions on Automatic Control, 50(10):1534-1549, 2005. (Pubitemid 41555603)
21. K. Lindqvist and H. Hjalmarsson. Optimal input design using linear matrix inequalities. In Proceedings of the 12th IFAC Symposium on System Identification, 2000.
22. K. Lindqvist and H. Hjalmarsson. Identification for control: Adaptive input design using convex optimization. In Conference on Decision and Control, pages 4326-4331, Orlando, Florida, USA, December 2001. IEEE. (Pubitemid 34144202)
23. K. Lindqvist and H. Hjalmarsson. Adaptive input design using convex optimization. Automatica, 2002. In preparation.
24. L. Ljung. Analysis of recursive stochastic algorithms. IEEE Trans. Automatic Control, 22:551-575, August 1977.
25. L. Ljung. A discussion of model accuracy in system identification. Int. Jour. of Adapt. Control and Signal Proc., 6:161-171, 1992. (Pubitemid 23607316)
26. L. Ljung and T. Söderström. Theory and Practice of Recursive Identification. MIT Press, Cambridge, Massachusetts, 1983.
27. S. Malan, M. Milanese, D. Regruto, and M. Taragna. Robust control from data via uncertainty model sets identification. In Proceedings 40th IEEE Conference on Decision and Control, Orlando, Florida, USA, December 2001. IEEE.
28. J. Mårtensson. Geometric Analysis of Stochastic Model Errors in System Identification. PhD thesis, Automatic Control, Electrical Engineering, Royal Institute of Technology (KTH), Stockholm, Sweden, 2007.
29. J. Mårtensson, H. Jansson, and H. Hjalmarsson. Input design for identification of zeros. In 16th World Congress on Automatic Control, Prague, Czech Republik, 2005. IFAC.
30. L. Pronzato. Optimal experimental design and some related control problems. Automatica, 44(2):303-325, February 2008.
31. D.E. Rivera and K.S. Jun. An integrated identification and control design methodology for multivariable process system applications. IEEE Control Systems Magazine, 20(3):25-37, 2000.
32. C. R. Rojas. Robust Experiment Design. PhD thesis, The University of Newcastle, Newcastle, Australia, 2008.
33. C. R. Rojas, M. Barenthin, J. S. Welsh, and H. Hjalmarsson. The cost of complexity in identification of FIR systems. In 16th IFAC World Congress, Seoul, South Korea, 2008a.
34. C. R. Rojas, M. Barenthin, J. S. Welsh, and H. Hjalmarsson. The cost of complexity in system identification: The FIR case. IEEE Transactions on Automatic Control, 2008b. Submitted.
35. R. J. P. Schrama. Accurate models for control design: the necessity of an iterative scheme. IEEE Trans. Automatic Control, 37:991-994, 1992.
36. P.M.J. Van den Hof and R.J.P. Schrama. Identification and control - closed loop issues. Automatica, 31(12): 1751-1770, 1995.
37. B. Wahlberg and L. Ljung. Design variables for bias distribution in transfer function estimation. IEEE Trans. Automatic Control, 31:134-144, 1986. (Pubitemid 16575326)
38. Z. Zang, R.R. Bitmead, and M. Gevers. Iterative weighted least-squares identification and weighted LQG control design. Automatica, 31:1577-1594, 1995.