Extremum seeking loops with quadratic functions: Estimation and control

International Journal of Control

Volumn 76, Issue 14, 2003, Pages 1475-1482

  Banavar, R N ^a,b  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

^b Engineering IV   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL EQUIPMENT; CONTROL SYSTEM SYNTHESIS; CONTROL THEORY; FEEDBACK CONTROL; PARAMETER ESTIMATION;

QUADRATIC FUNCTIONS;

CONTROL SYSTEM ANALYSIS;

EID: 0142199322     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207170310001599131     Document Type: Article

References (19)

1. ATHANS, M., 1971, The role and use of the LQG controller in control system design. IEEE Transactions on Automatic Control, 16(6), 529-552.
2. BANASZUK, A., ZHANG, Y., and JACOBSON, C. A., 2000, Adaptive control of combustion instability using extremum seeking. In Proceedings of the 2000 American Control Conference, Chicago, IL, USA, pp. 416-422.
3. BANAVAR, R. N., CHICHKA, D., and SPEYER, J. L., 2000, Convergence and synthesis issues in extremum seeking control. In Proceedings of the 2000 American Control Conference, Chicago, IL, USA, pp. 438-443.
4. BOYD, S., EL GHAOUI, L., FERON, E., and BALAKRISHNAN, V., 1994, Linear Matrix Inequalities in System and Control Theory (Philadelphia: SIAM).
5. CHICHKA, D., PARK, C. G., and SPEYER, J. L., 1999, Peak-seeking control with application to formation flight. In Proceedings of the 1999 IEEE Conference on Decision and Control, Arizona, USA.
6. CHOI, J., KRSTIC, M., ARIYUR, K. B., and LEE, J. S., 2002, Extremum seeking control for discrete-time systems. IEEE Transactions on Automatic Control, 47, 318-321.
7. EISING, R., 1984, Between controllable and uncontrollable. Systems and Control Letters, 4, 263-264.
8. ∞ Control Theory (New York: Springer-Verlag).
9. GAHINET, P., APKARIAN, P., and CHILALI, M., 1996, Affine parameter dependent Lyapunov functions and real parametric uncertainty. IEEE Transactions on Automatic Control, 41(3), 436-440.
10. KRSTIĆ, M., and WANG, H.-H., 1997, Design and stability analysis of extremum seeking feedback for general nonlinear systems. In Proceedings of the 36th Conference on Decision and Control, San Diego, CA, USA.
11. LEBLANC, M., 1922, Sur l'electrification des chemins de fer au moyen de courants alternatifs de fréquence élevée. In Revue Générale de l'Electricité, France.
12. MOROSANOV, I. S., 1957, Method of extremum control. In Automatic and Remote Control, pp. 1077-1092.
13. OSTROVSKII, I. I., 1957, Method of extremum control. In Automatic and Remote Control, pp. 900-907.
14. RAJAMANAI, R., and CHO, Y. M., 1999, Existence and design of observers for nonlinear systems: relation to distance to unobservability. International Journal of Control, 69, 717-731.
15. ROTEA, M. A., 2000, Analysis of multivariable extremum seeking algorithms. In Proceedings of the 2000 American Control Conference, Chicago, IL, USA, pp. 433-437.
16. SPEYER, J. L., BANAVAR, R. N., and CHICHKA, D. F., 2000, Extremum seeking control and assumed functions. In Proceedings of the 2000 IEEE Conference on Decision and Control, Sydney, Australia, pp. 142-147.
17. WALSH, G. C., 2000, On the application of multi-parameter extremum seeking control. In Proceedings of the 2000 American Control Conference, Chicago, IL, USA, pp. 411-415.
18. WANG, H.-H., YEUNG, S., and KRSTIĆ, M., 1998, Experimental application of extremum seeking on an axial-flow compressor. In Proceedings of the 1998 American Control Conference, Philadelphia, PA, USA, pp. 1473-1478.
19. WITTENMARK, B., and URQUHART, A., 1995, Adaptive extremal control. In Proceedings of the 1995 IEEE Conference on Decision and Control, New Orleans, LA, USA, pp. 1639-1644.