Model reference adaptive control of a time-varying parabolic system

KSME International Journal

Volumn 14, Issue 2, 2000, Pages 168-174

  Hong, Keum Shik ^a   Yang, Kyung Jinn ^a   Kang, Dong Hunn ^a  

^a NONE

Author keywords

Adaptive control; Averaging method; Convergence analysis; Parabolic partial differential equation; Slowly varying system

Indexed keywords

EID: 0034134387     PISSN: 12264865     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf03184783     Document Type: Article

References (24)

1. Anderson, B. D. O., Bitmead, R. R., Johnson, C. R., Jr., Kokotovic, P. V., Kosut, R. L., Mareels, I. M. Y., Praly, L., and Riedle, B. D., 1986, Stability of Adaptive Systems : Passivity and Averaging Analysis. MIT Press, Cambridge, MA.
2. Astrom, K., and Wittenmark, B., 1995, Adaptive Control, Addison-Wesley, Reading, MA.
3. Balas, M. J., 1983, "Some Critical Issues in Stable Finite Dimensional Adaptive Control of Linear Distributed Parameter System," Proc. 4th Yale Conf. Adaptive Control.
4. Banks, H. T., and Kunisch, K., 1989, Estimation Techniques for Distributed Parameter Systems, Birkhauser, Boston.
5. Baumeister, J., and Scondo, W., 1987, "Asymptotic Embedding Methods for Parameter Estimation," in Proc. 26th IEEE Conf. Dec. Contr., Los Angeles, CA, pp. 170-174.
6. Baumeister, J., Scondo, W., Demetriou, M. A., and Rogen I. G., 1997, "On-Line Parameter Estimation for Infinite-Dimensional Dynamical Systems," SIAM J. Control Optim., Vol. 35, No. 2, pp. 678-713.
7. Bentsman, J., Solo, V., and Hong, K. S., 1992, "Adaptive Control of A Parabolic System with Time Varying Parameters : Averaging Analysis," Proceedings of the 31st IEEE CDC, pp. 710 -711.
8. Corless, M. J., and Leitmann, G., 1981, "Continuous State Feedback Guaranteeing Uniform Boundedness for Uncertain Dynamic Systems," IEEE Trans. Automat. Contr., Vol. 26, No. 5, pp. 1139-1144.
9. Demetriou, M. A., and Rosen, I. G., 1994, "On the Persistence of Excitation in the Adaptive Estimation of Distributed Parameter Systems," IEEE Trans, Automat. Contr., Vol. 39, No. 5, pp. 1117-1123.
10. Henry, D., 1981, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, 840, Springer-Verlag.
11. Hong, K. S., and Bentsman, J., 1992, "Nonlinear Control of Diffusion Processes with Uncertain Parameters Using MRAC Approach," Proceedings American Control Conference, Chicago, IL, pp. 1343-1347.
12. Hong, K. S., and Bentsman, J., 1994a, "Direct Adaptive Control of Parabolic Systems : Algorithm Synthesis, Convergence and Stability Analysis," IEEE Trans. Automat. Contr., Vol. 39, No. 10, pp. 2018-2033.
13. Hong, K. S., and Bentsman, J., 1994b, "Application of Averaging Method for Integro -Differential Equations to Model Reference Adaptive Control of Parabolic Systems," Automatica, Vol. 30, No. 9, pp. 1415-1419.
14. Hong, K. S., Wu, J., and Lee, K. I., 1994, "New Conditions for the Exponential Stability of Evolution Equations," IEEE Trans. Automat. Contr., Vol. 39, No. 7, pp. 1432-1436.
15. Hong, K. S., 1997, "Asymptotic Behavior Analysis of a Coupled Time-Varying System : Application to Adaptive Systems," IEEE Trans. Automat. Contr., Vol. 42, No. 12, pp. 1693 -1697.
16. Kobayashi, T., 1988, "Finite Dimensional Adaptive Control for Infinite Dimensional Systems," Int. J. Contr., Vol. 48, No. 1, pp. 289 -302.
17. Middleton, R. H., and Goodwin, G. C., 1988, "Adaptive Control of Time Varying Linear Plants," IEEE Trans. Automat. Contr., Vol. 33, pp. 150-155.
18. Miyasato, Y., 1990, "Model Reference Adaptive Control for Distributed Parameter Systems of Parabolic Type by Finite Dimensional Controller," Proc. 29th IEEE CDC, Honolulu, pp. 1459-1464.
19. Narendra, K. S., and Annaswamy, A. M., 1989, Stable Adaptive Systems, Prentice Hall.
20. Pazy, A., 1983, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York.
21. Sastry, S., and Bodson, M., 1989, Adaptive Control : Stability, Convergence and Robustness, Prentice Hall.
22. Solo, V., 1996, "Deterministic Adaptive Control with Slowly Varying Parameters : An Averaging Analysis," Int. J. Control, Vol. 64, No. 1, pp. 99-125.
23. Tsakalis, K. S., and Ioannou, P. A., 1993, Linear Time-Varying Systems : Control and Adaptation, Prentice Hall.
24. Walker, J. A., 1980, Dynamical Systems and Evolution Equations, New York, Plenum Press.