Adaptive extremum seeking control of nonlinear dynamic systems with parametric uncertainties

Automatica

Volumn 39, Issue 7, 2003, Pages 1283-1293

  Guay, Martin ^a   Zhang, Tao ^b  

^a QUEEN S UNIVERSITY   (Canada)

^b SEAGATE TECHNOLOGY   (United States)

Author keywords

Adaptive control; Extremum seeking; Inverse optimality; Lyapunov function; Nonlinear systems

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; COMPUTER SIMULATION; INVERSE PROBLEMS; PARAMETER ESTIMATION; PROBLEM SOLVING;

EXTREMUM SEEKING;

NONLINEAR CONTROL SYSTEMS;

EID: 0037502807     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(03)00105-5     Document Type: Article

References (30)

1. Astrom K.J., Wittenmark B. Adaptive control. 2nd ed. 1995;Addison-Wesley, Reading, MA.
2. Banavar, R. N., Chichka, D. F., & Speyer, J. L. (2000). Convergence and synthesis issues in peak-seeking control. Proceedings of the 2000 IEEE American control conference, Chicago, IL (pp. 438-443).
3. Blackman P.F. Extremum-seeking regulation. Westcott J.H. An exposition of adaptive control. 1962;The Macmillan Company, New York, NY.
4. Chichka, D. F., Speyer, J. L., & Park, C. G. (1999). Peak-seeking control with application to formation flight. Proceedings of the 38th IEEE conference on decision and control, December.
5. Drkunov S., Ozguner U., Dix P., Ashrafi B. ABS control using optimum search via sliding modes. IEEE Transactions on Control Systems Technology. 3:1995;79-85.
6. El-Farra N., Christofides P. Integrating robustness, optimality and constraints in control of nonlinear processes. Chemical Engineering Science. 56(5):2001;1841-1868.
7. Findeisen W., Bailey F.N., Brdys M., Malinowski K., Tatjewski P., Wozniak A. Control and coordination in hierarchical systems. 1980;Wiley, New York.
8. Frey, A. L., Deem, W. B., & Altpeter, R. J. (1966). Stability and optimal gain in extremum-seeking adaptive control of a gas furnace. Processings of the third IFAC world congress, Vol. 48A, London.
9. Ioannou P.A., Sun J. Robust adaptive control. 1996;Prentice-Hall, Englewood Cliffs, NJ.
10. Jacobs O.L.R., Shering G.C. Design of a single-input sinusoidal-perturbation extremum-control system. Processings IEE. 115:1968;212-217.
11. Krstic M. Performance improvement and limitations in extremum seeking control. Systems & Control Letters. 39(5):2000;313-326.
12. Krstic M., Deng H. Stabilization of nonlinear uncertain systems. 1998;Springer, Berlin.
13. Krstic M., Kanellakopoulos I., Kokotovi c̀ P. Nonlinear and adaptive control design. 1995;Wiley, New York.
14. Krstic M., Wang H.H. Stability of extremum seeking feedback for general dynamic systems. Automatica. 36(4):2000;595-601.
15. Leblanc, M. (1922). Sur l' é lectrification des chemins de fer au moyen de courants alternatifs de fr é quence é lev é e. Revue Générale de l'Electricité.
16. Lin J.-S., Kanellakopoulos I. Nonlinearities enhance parameter convergence in output-feedback systems. IEEE Transactions on Automatic Control. 43:1998;204-226.
17. Lin J.-S., Kanellakopoulos I. Nonlinearities enhance parameter convergence in strict feedback systems. IEEE Transactions on Automatic Control. 44:1999;89-94.
18. Morari M., Stephanopoulos G., Arkun Y. Studies in the synthesis of control structures for chemical processes. Part I. Formulation of the problem. Process decomposition and the classifica-tion of the control task. Analysis of the optimizing control structures A.I.Ch.E. Journal. 26(2):1980;220-232.
19. Morosanov I.S. Method of extremum control. Automatic and Remote Control. 18:1957;1077-1092.
20. Nash G.S., Sofer A. Linear and nonlinear programming. 1996;McGraw-Hill, New York.
21. Nguang S.K., Chen X.D. Extremum seeking control for a class of continuous fermentation processes. Bioprocess Engineering. 23:2000;417-420.
22. Ostrovskii I.I. Extremum regulation. Automatic and Remote Control. 18:1957;900-907.
23. Pevozvanski A.A. Continuous extremum control system in the presence of random noise. Automatic and Remote Control. 21:1960;673-677.
24. Sepulchre R., Jankovic M., Kokotovic P.V. Constructive nonlinear control. 1997;Springer, New York.
25. Skogestad S. Plantwide control. The search for the self-optimizing control structure Journal of Proceedings Control. 10:2000;487-507.
26. Speyer, J. L., Banavar, R. N., Chichka, D. F., & Rhee, I. (2000). Extremum seeking loops with assumed functions. Proceedings of the 39th IEEE conference on decision and control, Sydney, Australia, December.
27. Sternby, J. (1980). Extremum control systems: An area for adaptive control? Preprints of the joint American control conference, San Fancisco, CA, WA2-A.
28. Vasu, G. (1957). Experiments with optimizing controls applied to rapid control of engine presses with high amplitude noise signals. Transactions of the ASME, 481-488.
29. Wang, H. -H., Yeung, S., & Krstic, M. (1998). M. Experimental application of extremum seeking on an axial-flow compressor. Proceedings of the American control conference, Philadelphia (pp. 1989-1993).
30. Wang H.H., Krstic M., Bastin G. Optimizing bioreactors by extremum seeking. International Journal on Adaptive Control and Signal Processing. 13:1999;651-669