Robust adaptive control of minimum phase non-linear systems

International Journal of Adaptive Control and Signal Processing

Volumn 10, Issue 1, 1996, Pages 61-78

  Johansen, Tor A ^a,c   Ioannou, Petros A ^b  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b University of Southern California ^*  (United States)

^c SINTEF   (Norway)

Author keywords

Adaptive control; Feedback linearization; Non linear systems; Robustness; Stability

Indexed keywords

CONTROL SYSTEM ANALYSIS; FEEDBACK CONTROL; LINEARIZATION; NONLINEAR SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

MINIMUM PHASE NONLINEAR SYSTEMS;

ADAPTIVE CONTROL SYSTEMS;

EID: 0029751202     PISSN: 08906327     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1115(199601)10:1<61::AID-ACS387>3.0.CO;2-H     Document Type: Article

References (35)

1. Egardt, B., Stability of Adaptive Controllers, Springer, Berlin, 1979.
2. Ioannou, P. A., and P. V. Kokotović, Adaptive Systems with Reduced Models, Springer, Berlin, 1983.
3. Ioannou, P.A., and P. V. Kokotović, 'Instability analysis and improvement of robustness of adaptive control', Automatica, 20, 583-594 (1984).
4. Kreisselmeier, G., and B. D. O. Anderson, 'Robust model reference adaptive control', IEEE Trans, Automatic Control, AC-31, 127-133, (1986).
5. Ioannou, P. A., and K. S. Tsakalis, 'A robust direct adaptive controller', IEEE Trans. Automatic Control, AC-31, 1033-1043 (1986).
6. Praly, L. 'Robust model reference adaptive controllers, Part I: Stability analysis', Proc. 23rd IEEE Conf. on Decision and Control, Las Vegas, NV, 1984, IEEE, New York, 1984, pp. 1009-1014.
7. Ioannou, P. A., and J. Sun, 'Theory and design of robust direct and indirect adaptive control schemes', Int. J. Control, 47, 775-813 (1988).
8. Tsakalis, K. S., 'Robustness of model reference adaptive controllers: input-output properties', IEEE Trans. Automatic Control, AC-37, 55665 (1992)
9. Ioannou, P., and A. Datta, 'Robust adaptive control: a unified approach', Proc. IEEE, 79, 1736-1768 (1991); also in Kokotović, P. V. (ed.), Foundations of Adaptive Control, Springer, Berlin, 1991.
10. Ioannou, P., and A. Datta, 'Robust adaptive control: a unified approach', Proc. IEEE, 79, 1736-1768 (1991); also in Kokotović, P. V. (ed.), Foundations of Adaptive Control, Springer, Berlin, 1991.
11. Nam, K. and A. Arapostathis, 'A model reference adaptive control scheme for pure-feedback nonlinear systems', IEEE Trans. Automatic Control, AC-33, 803-811 (1988).
12. Sastry, S. S., and A. Isidori, 'Adaptive control of linearizable systems', IEEE Trans. Automatic Control, AC-34, 1123-1131 (1989).
13. Taylor, D. G., P. V. Kokotović, R. Marino and I. Kanellakopoulos, 'Adaptive regulation of nonlinear systems with unmodelled dynamics', IEEE Trans. Automatic Control, AC-34, 405-412 (1989).
14. Campion, G., and G. Bastin, 'Indirect adaptive state feedback control of linearly parametrized non-linear systems. Int. j. adapt. control signal process., 4, 345-358 (1990).
15. Praly, L., G. Bastin, J.-B. Pomet and Z. P. Jiang, 'Adaptive stabilization of nonlinear systems', in Kokotović, P. V. (ed.), Foundations of Adaptive Control, Springer, Berlin, 1991.
16. Kokotović, P. V., I. Kanellakopoulos and A. S. Morse, 'Adaptive feedback linearization of nonlinear systems', in Kokotović, P. V. (ed.), Foundations of Adaptive Control, Springer, Berlin, 1991.
17. Kanellakopoulos, I., P. V. Kokotović and A. S. Morse, 'Systematic design of adaptive controllers for feedback linearizable systems,' IEEE Trans. Automatic Control, AC-36, 1241-1250 (1991).
18. Slotine, J.-J. E., and J. A. Coetsee, 'Adaptive sliding controller synthesis for non-linear systems', Int. J. Control, 431, 1631-1651 (1986).
19. Kanellakopoulos, I., P. V. Kokotović and R. Marino, 'Robustness of adaptive nonlinear control under an extended matching condition', Proc. IFAC Symp. on Nonlinear Control Systems, Capri, 1989, pp. 245-250.
20. Yu, X. Y., and Z. J. Chen, 'Robustness analysis of adaptive linearizable non-linear systems with unmodeled dynamics', Proc. 32nd IEEE Conf. on Decision and Control, San Antonio, TX, 1993, IEEE, New York, 1993, pp. 600-604.
21. Polycarpou, M. M., and P. A. Ioannou, 'Identification and control of nonlinear systems using neural network models: design and stability analysis', Tech. Rep. 91-09-01, Department of Electrical Engineering-Systems, University of Southern California, Los Angeles, CA, 1991.
22. Desoer, C. A., and M. Vidyasagar, Feedback Systems: Input-Output Properties, Academic, New York, 1975.
23. Isidori, A. Nonlinear Control Systems, 2nd edn, Springer, Berlin, 1989.
24. Nijmeijer, H., and A. J. van der Schaft, Nonlinear Dynamical Control Systems, Springer, New York, 1990.
25. Brockett, R. W. 'Feedback invariants for non-linear systems', Prepr. IFAC World Congr., Helsinki, 1978, Vol. 6, pp. 1115-1120.
26. Jakubczyk, B., and W. Respondek, 'On linearization of control systems', Bull. Acad. Polon. Sci. Ser. Sci. Math., 28, 517-522 (1980).
27. Hunt, L. R., R. Su and G. Meyer, 'Design for multi-input nonlinear systems', in Brockett, R. W., R. S. Millman and H. Sussman (eds), Differential Geometric Control Theory, Birkhauser, Boston, MA, 1983, pp. 268-298.
28. Descusse, J., and C. H. Moog, 'Decoupling with dynamics compensation for strong invertible affine nonlinear systems', Int. J. Control, 43, 1387-1398 (1985).
29. Naik, S. M., P. R. Kumar and B. E. Ydstie, 'Robust continuous-time adaptive control by parameter projection', in Kokotović, P. V. (ed.), Foundations of Adaptive Control, Springer, Berlin, 1991.
30. Narendra, K. S., and A. M. Annaswamy, Stable Adaptive Systems, Prentice-Hall, Englewood Cliffs, NJ, 1989.
31. Byrnes, C. I., and A. Isidori, 'Asymptotic stabilization of minimum phase nonlinear systems', IEEE Trans. Automatic Control, AC-36, 1122-1137 (1991).
32. Byrnes, C. I., and A. Isidori, 'A frequency domain philosophy for nonlinear systems', Proc. 23rd IEEE Conf. on Decision and Control, Las Vegas, NV, 1984, IEEE, New York, 1984, pp. 1569-1573.
33. Schwartz, C. A., and I. M. Y. Mareels, 'Comments on "Adaptive control of linearizable systems'", IEEE Trans. Automatic Control, AC-37, 689-701 (1992).
34. Wang, L. X., 'A supervisory controller for fuzzy control systems that guarantees stability', IEEE Trans. Automatic Control, AC-39, 1845-1847 (1994).
35. H. K. Khalil, Nonlinear Systems, Macmillan, New York, 1992.