Approximate models for adaptive feedback linearization

International Journal of Control

Volumn 68, Issue 6, 1997, Pages 1305-1322

  French, M ^a   Rogers, E ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

FEEDBACK CONTROL; LINEARIZATION; MATHEMATICAL MODELS;

NEUROCONTROL;

ADAPTIVE CONTROL SYSTEMS;

EID: 0031343955     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071797223046     Document Type: Article

References (17)

1. Byrnes, C., and Isidori, A., 1996, Approximate feedback linearization: a homotopy approach. SIAM Journal of Control and Optimization, 34, 1533-1554.
2. Cannon, M., and Slotine, J., 1995, Space-frequency localized basis functions for nonlinear systems estimation and control. Neurocomputing, 9, 293-342.
3. Chen, F.-C., and Khalil, H., 1992, Adaptive control of nonlinear systems using neural networks. International Journal of Control, 55, 1299-1317; 1995, Adaptive control of a class of nonlinear discrete-time systems using neural networks. IEEE Transactions on Automatic Control, 40, 791-801.
4. Chen, F.-C., and Liu, C.-C., 1993, Adaptive control of nonlinear continuous time systems using neural networks-general relative degree and MIMO cases. International Journal of Control, 58, 317-355; 1994, Adaptively controlling nonlinear continuous time systems using multilayer neural networks. IEEE Transactions on Automatic Control, 39, 1306-1310.
5. Isidori, a., 1989, Nonlinear Control Systems, second edition (Berlin: Springer-Verlag).
6. Johansen, T., and Ioannou, P., 1996, Robust adaptive control of minimum phase non-linear systems. International Journal of Adaptive Control and Signal Processing, 10, 61-78.
7. Kanellakopoulos, I., Kokotovic, P., and Morse, A., 1991, Systematic design of adaptive controllers for feedback linearisable systems. IEEE Transactions on Automatic Control, 36, 1241-1253.
8. Krstic, M., Kanellakopoulos, I., and Kokotovic, P., 1992, Adaptive nonlinear control without overparametrization. Systems and Control Letters, 19, 177-185.
9. Marino, R., and Tomei, P., 1993 a, Global adaptive output-feedback control of nonlinear systems, part i: Linear parameterization. IEEE Transactions on Automatic control, 38, 17-32; 1993 b, Global adaptive output-feedback control of nonlinear systems, part ii: Nonlinear parameterization. IEEE Transactions on Automatic Control, 38, 33-48.
10. Nijmeijer, H., and Van der Schaft, A., 1990, Nonlinear Dynamical Control Systems (New Y ork: Springer-Verlag).
11. Peterson, B., and Narendra, K., 1982, Bounded error adaptive control. IEEE Transactions on Automatic Control, 27, 1161-1168.
12. Sanner, R., and Slotine, J., 1992, Gaussian networks for direct adaptive control. IEEE Transactions on Neural Networks, 3, 837-863.
13. Sastry, S., and Bodson, M., 1989, Adaptive Control-Stability, Convergence and Robustness, first edition (Englewood Cliffs: Prentice-Hall).
14. Sastry, S., and Isidori, A., 1989, Adaptive control of linearizable systems. IEEE Transactions on Automatic Control, 34, 1123-1131.
15. Schultz, M., 1969, L“multivariate approximation theory. SIAM Journal of Numerical Analysis, 6, 161-183.
16. TZirkel-Hancock, E., 1992, Stable control of nonlinear systems using neural networks. Ph.D. Thesis, Department of Engineering, University of Cambridge, Cambridge, U.K.
17. Yeslidirek, A., and Lewis, F., 1995, Feedback linearization using neural networks. Automatica, 31, 1659-1664.