Non-linear non-interacting control with stability in discrete time: A dynamic solution

International Journal of Control

Volumn 78, Issue 6, 2005, Pages 443-459

  Califano, C ^a   Monaco, S ^a   Normand Cyrot, D ^b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b UNIV PARIS SUD   (France)

Author keywords

Discrete time systems; Dynamic feedback; Nonlinear decoupling; Stability

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; FEEDBACK; PROBLEM SOLVING;

DISCRETE TIME ANALYSIS; NON-LINEAR NON-INTERACTIVE CONTROL; STATIC STATE FEEDBACK;

NONLINEAR CONTROL SYSTEMS;

EID: 27944436556     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170500089539     Document Type: Article

References (17)

1. S. Battilotti, Noninteracting Control with Stability for Nonlinear Systems, London: Springer-Verlag, 1994.
2. C. Califano, S. Monaco and D. Normand-Cyrot, "Nonlinear noninteracting control with stability in discrete-time: a geometric approach", Int. J. Control, 75(1), pp. 11-22, 2002.
3. S.T. Chung and J.W. Grizzle, "Internally exponentially stable non-linear discrete time noninteracting control via static state feedback", Int. J. Control, 55(5), pp. 1071-1092, 1992.
4. G. Conte, C.H. Moog and A.M. Perdon, Nonlinear Control Systems, Great Britain: Springer-Verlag, 1999.
5. J.W. Grizzle, "Controlled invariance for discrete-time nonlinear systems with an application to disturbance decoupling", IEEE Trans. AC-30, pp. 868-874, 1985.
6. J.W. Grizzle, "Local input output decoupling of discrete-time non-linear systems", Int. J. Control, 43, pp. 1517-1530, 1986.
7. A. Isidori and J.W. Grizzle, "Fixed modes and nonlinear noninteracting control via feedback: a differential geometric approach", IEEE Trans. AC-33, pp. 907-914, 1988.
8. A. Isidori, Nonlinear Control Systems: an Introduction, Third edn, London: Springer-Verlag, 1995.
9. B. Jakubczyk and E.D. Sontag, "Controllability of nonlinear discrete time systems; a Lie algebraic approach", SIAM J. Cont. and Opt., 28, pp. 1-33, 1990.
10. U. Kotta, Disturbance Decoupling in Discrete-time, London: Springer-Verlag, 1995.
11. S. Monaco and D. Normand-Cyrot, "Invariant distributions for discrete-time nonlinear systems", Syst. and Cont. Letters, 5, pp. 191-196, 1985.
12. S. Monaco and D. Normand-Cyrot, Canonical representations of non-linear discrete-time systems, in Models and Feedback, Theory and Applications, A. Isidori and T.J. Tarn, Eds, Boston: Birkhauser, pp. 153-167, 1992.
13. S. Monaco and D. Normand-Cyrot, Geometric properties of a class of nonlinear discrete-time dynamics, Proc. ECC, 1997.
14. H. Nijmeijer and A.J. Van der Schaft, Nonlinear Dynamical Control Systems, New York: Springer-Verlag, 1990.
15. E.D. Sontag, Lie brackets, real analycity and geometric control, in Differential Geometric Control Theory, R.W. Brond et al., Eds, Boston: Birkhäuser, pp. 1-116, 1983.
16. K.J. Wagner, "Nonlinear noninteraction with stability by dynamic state feedback", SIAM J. Contr. and Opt., 29, pp. 609-621, 1991.
17. W.M. Wonham, Linear Multivariable Control: a Geometric Approach, New York: Springer-Verlag, 1979.