High-gain adaptive λ-tracking for nonlinear systems

Automatica

Volumn 33, Issue 5, 1997, Pages 881-888

  Allgöwer, Frank ^a   Ashman, Jon ^b   Ilchmann, Achim ^c  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF BATH   (United Kingdom)

^c UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

Adaptive control; Nonlinear systems; Robustness; Tracking; tracking

Indexed keywords

CONTROL THEORY; GAIN CONTROL; MATRIX ALGEBRA; MULTIVARIABLE CONTROL SYSTEMS; NONLINEAR CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS);

HIGH GAIN CONTROL; REFERENCE SIGNALS;

ADAPTIVE CONTROL SYSTEMS;

EID: 0031130973     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(96)00226-9     Document Type: Article

References (21)

1. Allgöwer, F. and Ilchmann, A. (1995) Multivariable λ-tracking for nonlinear chemical processes. In Proc. 3rd European Control Conf., Rome, pp. 1645-1651.
2. Berty, J. M., Lee, S., Szeifert, F. and Cropley, J. B. (1989) The 'UCKRON-1' test problem for reaction engineering modeling. Chem. Engng Commun. 76, 9-33.
3. Byrnes, C. I. and Isidori, A. (1984) A frequency domain philosophy for nonlinear systems, with applications to stabilization and to adaptive control. In Proc. 23rd IEEE Conf. on Decision and Control, Las Vegas, NV, pp. 1569-1573.
4. Byrnes, C. I. and Isidori, A. (1986) Asymptotic expansions, root-loci and the global stability of nonlinear feedback systems. In Algebraic and Geometric Methods in Nonlinear Control Theory, ed. M. Fliess and M. Hazewinkel, Reidel, Dordrecht.
5. Ilchmann, A. (1993) Non-identifier-based High-Gain Adaptive Control. Lecture Notes in Control and Information Sciences, Vol. 89, Springer-Verlag, London.
6. Ilchmann, A. (1997) Universal adaptive stabilization of nonlinear systems. Dyn. Control, (to appear).
7. Ilchmann, A. and Ryan, E. P. (1994) Universal λ-tracking for nonlinearly-perturbed systems in the presence of noise. Automatica 30, 337-346.
8. Isidori, I. (1989) Nonlinear Control Systems, 2nd ed. Springer-Verlag, Berlin.
9. Khalil, H. K. and Saberi, A. (1987) Adaptive stabilization of a class of nonlinear systems using high-gain feedback. IEEE Trans. Autom. Control AC-32, 1031-1035.
10. LaSalle, J. P. (1976) Stability of nonautonomous systems. Nonlinar Anal. Theory, Meth. Applic. 1, 83-91.
11. Logemann, H. and Owens, D. H. (1988) input-output theory of high-gain adaptive stabilization of infinite dimensional systems with nonlinearities. Int. J. Adaptive Control Sig. Process. 2, 193-216.
12. Mareels, I. (1984) A simple selftuning controller for stably invertible systems. Syst. Control Lett. 4, 5-16.
13. Mårtensson, B. (1985) The order of any stabilizing regulator is sufficient a priori information for adaptive stabilization. Syst. Control Lett. 6, 87-91.
14. Miller, D. E. and Davison, E. J. (1991) An adaptive controller which provides an arbitrarily good transient and steady-state response. IEEE Trans. Autom. Control AC-36, 68-81.
15. Morse, A. S. (1983) Recent problems in parameter adaptive control. In Outils et Modèles Mathématiques pour l'Automatique, L'Analyse de Systèmes et le Traitment du Signal, ed. I. D. Landau, pp. 733-740. Editions du CNRS 3, Paris.
16. Nussbaum, R. D. (1983) Some remarks on a conjecture in parameter adaptive control. Syst. Control Lett. 3, 243-246.
17. Ryan, E. P. (1995) Universal stabilization of a class of nonlinear systems with homogeneous vector fields. Syst. Control Lett. 26, 177-184.
18. Saberi, A. and Lin, Z. (1990) Adaptive high-gain stabilization of 'minimum-phase' nonlinear systems. In Proc. 29th IEEE Conf. on Decision and Control, Honolulu, HI, 3417-3422; identical version in Control - Theory Adv. Technol. 6, 595-607 (1990).
19. Saberi, A. and Lin, Z. (1990) Adaptive high-gain stabilization of 'minimum-phase' nonlinear systems. In Proc. 29th IEEE Conf. on Decision and Control, Honolulu, HI, 3417-3422; identical version in Control -Theory Adv. Technol. 6, 595-607 (1990).
20. Tátrai, F. Z., Varga, E. and Benedek, P. (1992) Dynamic simulation of catalytic reactors using the UCKRON-1 test problem as a kinetic model. Ind. Engng Chem. Res. 31, 868-876.
21. Willems, J. C. and Byrnes, C. I. (1984) Global adaptive stabilization in the absence of information on the sign of the high frequency gain. In Lecture Notes in Control and Information Sciences, Vol. 62, pp. 49-57. Springer-Verlag, Berlin.