A unifying approach to extremum seeking: Adaptive schemes based on estimation of derivatives

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2010, Pages 4625-4630

  Nešić, Dragan ^a   Tan, Ying ^a   Moase, William H ^b   Manzie, Chris ^b  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

GRADIENT METHODS; OPTIMIZATION;

ADAPTIVE SCHEME; CLOSED LOOP DYNAMIC; CONTINUOUS OPTIMIZATION; CONTROLLER PARAMETER; EXTREMUM SEEKING; GRADIENT DESCENT; MULTIPLE TIME SCALE; SINGLE-INPUT SINGLE-OUTPUT PLANTS;

CONTROL THEORY;

EID: 79953139919     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2010.5717929     Document Type: Conference Paper

References (35)

1. R. G. Airapetyan, A. G. Ramm and A. B. Smirnova, "Continuous analog of the Gauss-Newton method", Mathematical Models and Methods in Applied Sciences, vol. 9, pp. 463-474, 1999.
2. R. G. Airapetyan, "Continuous newton method and its modification", Applicable Analysis, vol. 73, pp. 463-484, 2000.
3. K. B. Ariyur and M. Krstić, Real-Time Optimization by Extremum-Seeking Control. Hoboken, NJ: Wiley-Interscience, 2003.
4. J. F. Beaudoin, O. Cadot, J. L. Aider and J. E. Wesfreid, "Bluff-body drag reduction by extremum-seeking control", Journal of Fluids and Structures, vol. 22, pp. 973-978, 2006.
5. th IEEE Conf. Decis. Contr., New Orleans, USA, 2007.
6. P. F. Blackman, "Extremum-seeking regulators", In J. H. Westcott, An exposition of adaptive control New York: The Macmillan Company, 1962.
7. G. Bastin, D. Nešić, Y. Tan and I. M. Y. Mareels, "On extremum seeking in bioprocesses with multi-valued cost functions", Biotechnology Progress, vol. 25, No 3, pp. 683-690, 2009.
8. D. Carnevale, A. Astolfi, C. Centioli, S. Podda, V. Vitale and L. Zaccarian, "A new extremum seeking technique and its application to maximize RF heating on FTU", Fusion Engineering and Design, vol. 84, pp. 554-558, 2009.
9. S. Drakunov, U. Özgüner, P. Dix and B. Ashra, "ABS control using optimum search via sliding modes", IEEE Transactions on Control Systems Technology, vol. 3, pp. 79-85, 1995.
10. P. M. Dower, P. Farrell and D. Nešić, "Extremum seeking control of cascaded Raman optical amplifiers", IEEE Transactions on Control Systems Technology, vol. 16, pp. 396-407, 2007.
11. M. Guay, D. Dochain and M. Perrier, "Adaptive extremum seeking control of continuous stirred tank bioreactors with unknown growth kinetics", Automatica, vol. 40, pp. 881-888, 2004.
12. M. Guay and T. Zhang, "Adaptive extremum seeking control of nonlinear dynamic systems with parametric uncertainties", Automatica, vol. 39, pp. 1283-1293, 2003.
13. H. K. Khalil, Nonlinear Systems, Third edition Prentice Hall, Upper Saddle River, New Jersey, 2002.
14. M. Krstić, "Performance improvement and limitations in extremum seeking control", Systems and Control Letters, vol. 39, pp. 313-326, 2000.
15. M. Krstić and H.-H. Wang, "Stability of extremum seeking feedback for general nonlinear dynamic systems", Automatica, vol. 36, pp. 595-601, 2000.
16. W. H. Moase, C. Manzie and M. J. Brear, "Newton-like extremum-seeking for the control of thermoacoustic instability", IEEE Transactions on Automatic Control, vol. 55, pp. 2094-2105, 2010
17. D. Nešić, A. Mohamadi and C. Manzie, "A systematic approach to extremum seeking based on parameter estimation", submitted to Conf. Decis. Contr., Atlanta, Georgia, USA, 2010.
18. P. Ögren, E. Fiorelli and N. E. Leonard, "Cooperative control of mobile sensor networks: adaptive gradient climbing in a distributed environment", IEEE Transactions on Automatic Control, vol. 49, pp. 1292-1302, 2004.
19. I. I. Ostrovskii, "Extremum regulation", Automatic and Remote Control, vol. 18, pp. 900-907, 1957.
20. A. A. Pervozvanskii, "Continuous extremum control system in the presence of random noise", Automatic and Remote Control, vol. 21, pp. 673-677, 1960.
21. K. S. Peterson and A. G. Stefanopoulou, "Extremum seeking control for soft landing of an electromechanical valve actuator", Automatica, vol. 40, pp. 1063-1069, 2004.
22. D. Popović, M. Janković, S. Manger and A. R. Teel, "Extremum seeking methods for optimization of variable cam timing engine operation", IEEE Transactions on Control Systems Technology, vol. 14, pp. 398-407, 2006.
23. A. G. Ramm, A. B. Smirnova and A. Favini, "Continuous modified Newtons-type method for nonlinear operator equations", Annali di Matematica, vol. 182, pp. 37-52, 2003.
24. J. Sternby, "Extremum control systems: An area for adaptive control?", Proc. Joint Amer. Contr. Conf., San Francisco, CA, 1980.
25. A. R. Teel and D. Popović, "Solving smooth and nonsmoooth multivariable extremum seeking problems by the methods of nonlinear programming", Proc. Amer. Contr. Conf., Arlington, VA, June 25-27, 2001, pp. 2394-2399.
26. Y. Tan, D. Nešić and I. M. Y. Mareels, "On non-local stability properties of extremum seeking control", Proc. 16th IFAC World Congress, Prague, Czech Republic, 2005, pp. 2483-2489.
27. Y. Tan, D. Nešić and I. M. Y. Mareels, "On non-local stability properties of extremum seeking controllers", Automatica, vol. 42, pp. 889-903, 2006.
28. Y. Tan, D. Nešić, I. M. Y. Mareels and A. Astolfi, "On the global extremum seeking control", Automatica, vol. 45, No. 1, pp. 245-251, 2009.
29. Y. Tan, D. Nešić and I. M. Y. Mareels, "On the dither choice in extremum seeking control", Automatica, vol. 44, pp. 1446-1450, 2008.
30. H.-H. Wang, S. Yeung and M. Krstić, "Experimental application of extremum seeking on an axial-flow compressor", IEEE Transactions on Control Systems Technology, vol. 8, pp. 300-309, 2000.
31. H.-H. Wang and M. Krstić, "Extremum seeking for limit cycle minimization", IEEE Transactions on Automatic Control, vol. 45, pp. 2432-2437, 2000.
32. D. J. Wilde, Optimum Seeking Methods. Englewood NJ: Prentice-Hall Inc., 1964.
33. C. Zhang, D. Arnold, N. Ghods, A. Siranosian and M. Krstić, "Source seeking with non-holonomic unicycle without position measurement and with tuning of forward velocity", Systems and Control Letters, vol. 56, pp. 245-252, 2007.
34. C. Zhang, A. Siranosian and M. Krstić, "Extremum seeking for moderately unstable systems and for autonomous vehicle target tracking without position measurements", Automatica, vol. 43, pp. 1832-1839, 2007.
35. X. T. Zhang, D. M. Dawson, W. E. Dixon and B. Xian, "Extremum- seeking nonlinear controllers for a human exercise machine", IEEE/ASME Transactions on Mechatronics, vol. 11, pp. 233-240, 2006.