On H∞-control of discrete-time nonlinear systems

International Journal of Robust and Nonlinear Control

Volumn 6, Issue 7, 1996, Pages 633-643

  Guillard, H ^a   Monaco, S ^b   Normand Cyrot, D ^a  

^a CNRS   (France)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

H control; Nonlinear discrete time systems

Indexed keywords

CONTROL SYSTEM SYNTHESIS; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK; GAME THEORY; OPTIMAL CONTROL SYSTEMS; SYSTEM STABILITY;

DISTURBANCE ATTENUATION; STATE FEEDBACK;

NONLINEAR CONTROL SYSTEMS;

EID: 0030218362     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1239(199608)6:7<633::AID-RNC178>3.0.CO;2-6     Document Type: Article

References (27)

1. Basar, T., and G. J. Olsder, DynamicNoncooperative Game Theory, Academic Press, London, 1982.
2. ∞-Optimal Control and Related Minimax Design Problems: a Dynamic Game Approach, Birkhauser, Boston, MA, 1991.
3. Byrnes, C. I., A. Isidori, and J. C. Willems, 'Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems', IEEE Trans. Automat. Control, AC-36, 1228-1240.
4. ∞-control of discrete-time nonlinear systems via state and full information feedback', preprint, 1993.
5. Dieudonné, J., Eléments d'Analyse, Vol. 1, Fondements de l'Analyse Moderne, Gauthier-Villars, Paris, 1972.
6. ∞-control problems', IEEE Trans. Automat. Control, AC-34, 831-847 (1989).
7. ∞ optimality criterion', SIAM J. Control and Optimization, 25, 815-844 (1987).
8. Francis, B. A., 'A course in H∞-control theory', Lecture Notes on Control and Information Sciences, Vol. 88, Springer-Verlag, New York, 1987.
9. ∞-norm bound and relations to risk sensitivity', Systems and Control Letters, 11, 167-172 (1988).
10. ∞-control', Proceedings 32nd IEEE Conference on Decision and Control, 178-183, San Antonio USA, 1993.
11. Isidori, A., 'Feedback control of nonlinear systems', Proceedings of the first European Control Conference, ECC-91, France, 1991, pp. 1001-1012.
12. ∞ control via measurement feedback in nonlinear systems', IEEE Trans. Automat. Control, AC-37, 1283-1293 (1992).
13. Isidori, A., 'Dissipation inequalities in nonlinear H∞-control', Proceedings of the 31st IEEE Conference on Decision and Control, 3265-3270 Tucson, AZ. 1992.
14. ∞-control via measurement feedback', Journal of Mathematical Systems, Estimation and Control, 1, 31-44 (1992).
15. ∞ control via measurement feedback for general nonlinear systems', IEEE Trans. Automat. Control, AC-40, 466-472, 1995.
16. ∞-control', Int. J. Control, 5, 1031-1073 (1991).
17. Knoblock, H. W., A. Isidori, and D. Flockerzi, Topics in Control Theory, Birkhauser, Berlin, 1993.
18. ∞-control for time-varying systems', SIAM J. Control and Optimization, 30, 262-283 (1992).
19. Limebeer, D. J. N., M. Green, and D. Walker, 'Discrete-time H∞control', Proceedings of the 28th IEEE Conference on Decision and Control, Tampa, FL, 1989, pp. 392-396.
20. ∞-control', IEEE Trans. Automat. Control, AC-6, 770-784 (1992).
21. ∞-control theory', in Perspectives in Control, H. L. Trentelman amd J. C. Willems (Eds), Birkhauser, Boston, MA, 1993.
22. ∞controllers', Systems and Control Letters, 18, 61-71 (1992).
23. ∞Control Problem: a State Space Approach, Prentice Hall, Englewood Cliffs, NJ, 1992.
24. ∞-norm regulation of linear discrete-time systems and its relation to linear quadratic discrete games'. Proceedings of the 28th IEEE Conference on Decision and Control, Tampa, FL, 1989, pp. 407-414.
25. Yaesh ,I., and U. Shaked, 'A transfer function approach to the problems of discrete-time systems: H∞-optimal linear control and filtering', IEEE Trans. Automat. Control, AC-11, 1264-1271 (1991).
26. Willems, J. C., 'Dissipative dynamical systems', Arch. Rational Mechanics and Analysis, 45, 321-393 (1972).
27. Zames, G., 'Feedback and optimal sensitivity: model reference transformation, multiplicative semi-norms and approximate inverses', IEEE Trans. Automat. Control, 26, 301-320 (1981).