Issues on nonlinear digital control

European Journal of Control

Volumn 7, Issue 2-3, 2001, Pages 160-177

  Monaco, S ^a   Normand Cyrot, D ^b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b CNRS   (France)

Author keywords

Digital Control; Discontinuous Control; Multirate Sampling; Nonlinear Systems; Sampled Systems

Indexed keywords

EID: 8744267214     PISSN: 09473580     EISSN: None     Source Type: Journal    
DOI: 10.3166/ejc.7.160-177     Document Type: Article

References (52)

1. Asröm KL, Wittenmark B. Computer controlled systems: theory and design. 3rd edn. Prentice Hall, Inf and Sys Sci 1997
2. Isidori A. Nonlinear control systems: an introduction. 3rd edn. Springer-Verlag 1994
3. Hsu P, Sastry S. The effect of discretized feedback in a closed loop system. Proceedings of the 26th IEEE-CDC. 1987, pp 1518-1523
4. Monaco S, Normand-Cyrot D. On the linearizing feedback in nonlinear sampled data control schemes. Proceedings of the 25th IEEE-CDC. 1986, pp 1457-1462
5. Monaco S, Normand-Cyrot D, Stornelli S. Sampled nonlinear control for large angle manoeuvers of flexible spacecrafts. ESA Sp 1986; 255: 31-38
6. Keller JP, Anderson BDO. A new approach to the discretization of continuous-time controllers. IEEE Trans on AC 1992; 37(2): 214-224
7. Hagiwara T, Araki M. FR operator approach for the H2 analysis and synthesis of sampled data systems. IEEE Trans on AC 1995: 1411-1421
8. Comeau AR, Hori N. State-space forms for higher-order discrete-time models. Syst and Cont Lett 1998; 34: 23-31
9. Ieko T, Ochi Y, Kanai K. New design method for pulse-width modulation control systems via digital redesign. J Guidance, Control and Dynamics 1999; 22(1): 123-128
10. Monaco S, Normand-Cyrot D. On the sampling of a linear control system. Proceedings of the 24th IEEE-CDC. 1985, pp 1457-1462
11. Grizzle JW, Kokotovic PV. Feedback linearization for sampled-data systems. IEEE Trans on AC 1988; 33(9): 857-859
12. Monaco S, Normand-Cyrot D. Zero dynamics of sampled nonlinear systems. Syst and Cont Lett 1988; 11: 229-234
13. Arapostathis A, Jakubczyk B, Lee HG, Marcus SI, Sontag ED. The effect of sampling on linear equivalence and feedback linearization. Syst and Cont Lett 1989; 13: 373-381
14. Grizzle JW. Feedback linearization of discrete-time systems. Syst and Cont Lett 1987; 9: 411-416
15. Lee HG, Arapostathis A, Marcus SI. On the linearization of discrete-time systems. Int J Cont 1987; 45: 1783-1785
16. Jakubczyk B. Feedback linearization of discrete-time systems. Syst and Cont Lett 1987; 9: 441-446
17. Monaco S, Normand-Cyrot D. Minimum phase nonlinear discrete-time systems and feedback stabilization. Proceedings of the 26th IEEE CDC. 1987, pp 979-986
18. Fliess M. Reversible linear nonlinear discrete-time dynamics. IEEE Trans on AC 1992; 37(8): 1144-1153
19. Lin W, Byrnes CI. Design of discrete-time nonlinear control systems via smooth feedback. IEEE Trans Aut Cont 1994; 39: 2340-2346
20. Kotta U. Inversion method in the discrete-time nonlinear control systems synthesis problems. Lect Not in Cont and Inf Sci 205. Springer Verlag, Berlin 1995
21. Aranda-Bricaire A, Kotta U, Moog CH. Linearization of discrete-time systems. SIAM J Contr and Opt 1996; 34(6): 1999-2015
22. Monaco S, Normand-Cyrot D. Geometric properties of a class of nonlinear discrete-time dynamics. Proceedings of European control conference, Bruxelles. 1997
23. Monaco S, Normand-Cyrot D. A unified representation for nonlinear discrete-time and sampled dynamics. J Math Sys Est and Cont 1997; 7(4): 477-503
24. Barbot JP, Monaco S, Normand-Cyrot D. A sampled normal form for feedback linearization. Mathematics of Signal Control and Systems 1996; 9: 162-188
25. Barbot JP, Djemai D, Monaco S, Normand-Cyrot D. Analysis and control of nonlinear singularly perturbed systems under sampling. In: Control and dynamic systems: advances in theory and applications. Leondes (ed.), vol 79. Academic Press Inc., New York 1996, pp 203-246
26. Guillame AM, Bastin G, Campion G. Sampled data adaptive control of continuous nonlinear systems. CESAME technical report 93, March 1997
27. Castillo B, Di Gennaro S, Monaco S, Normand-Cyrot D. On Reculation under sampling. IEEE Trans on AC 1997; 49(6): 864-869
28. Nesic S, Teel AR, Kokotovic PV. Sufficient conditions for stabilization of sampled-data on linear systems via discrete-time approximations. Syst and Control Lett 1999; 38: 259-270
29. Hu B, Michel AN. Stability analysis of digital feedback control systems with time-varying sampling periods. Automatica 2000; 36: 897-905
30. Di Gennaro S, Monaco S, Normand-Cyrot D. Nonlinear digital scheme for attitude tracking. J Guidance, Control and Dynamics 1999; 22(3): 467-478
31. Monaco S, Normand-Cyrot D. An introduction to motion planning under multirate digital control. Proceedings of 31st IEEE Control and Dec Conference. 1992, 1780-1785
32. Hermes H. Nilpotent Approximations of control systems and distributions. SIAM J Contr and Optim 1986; 24: 731-736
33. Kawski M. Nilpotent lie algebras of vector fields. J für die reine und angewandte Mathematik 1988; 388: 1-17
34. Di Giamberardino P, Monaco S, Normand-Cyrot D. Digital control through finite feedback discretizability. Proceedings of the International Conference on Robotics and Automatic. 1996, pp 3141-3146
35. Di Giamberardino P, Monaco S, Normand-Cyrot D. A hybrid control scheme for manoeuvring space multi-body systems. J Guidance, Control and Dynamics 2000; 23(2): 231-240
36. Monaco S, Normand-Cyrot D. Multirate sampling and zero dynamics: from linear to nonlinear. In: Byrnes CI and Kurzhansky A (eds). Nonlinear synthesis. Birkhauser 1991, pp 200-213
37. Sontag ED. Orbit theorems and sampling. In: Fliess M and Hazenwinkel H (eds). Algebraic and geometric methods in nonlinear control theory. Reidel, Dordrecht 1986, pp 441-486
38. Albertini F, Sontag ED. Discrete-time transitivity and accessibility: analytic systems. SIAM J Contr Optim 1993; 33: 1599-1622
39. Asröm KL, Hagander P, Sternby J. Zeros of sampled systems. Automatica 1984, 20(1): 31-38
40. Monaco S, Normand-Cyrot D. Sur la commande digitale d'un systme non linaire dphasage minimal. Bensoussan A, Lion JL (eds). Lect. Notes in Cont and Info Sci. Springer Verlag, Berlin 1988, pp 193-205
41. Monaco S, Normand-Cyrot D. Quelques lments sur la commande numrique non linaire. In: Fossard AJ, Normand-Cyrot D (eds). Systmes non linaire, 3. commande. Masson, Paris 1994, pp 112-138
42. Monaco S, Normand-Cyrot D, Isola T. Nonlinear decoupling in discrete system. Preprints of the IFAC symposium on nonlinear control system design. 1989, pp 48-55
43. Glad ST. Output dead-beat control for nonlinear systems with one zero at infinity. Syst and Cont Lett 1987; 9: 249-255
44. Chelouah AK, Monaco S, Normand-Cyrot D. Digital nonlinear speed regulation of a synchronous motor. Automatika i Telemekhanika 1997; 6: 143-158
45. Gautier A, Thomas JL, Poullain S, Monaco S, Normand-Cyrot D. Commande non linaire en temps discret de la machine asynchrone. In: Canudas de Wit C (ed.) Commande des moteurs asynchrone, vol 2. Hermes Science Europe Ltd., Paris 2000, pp 111-139
46. Di Gennaro S, Monaco S, Normand-Cyrot, D. Pignatelli A. Digital controllers for attitude manoeuvring: experimental results. ESA SP-381 1997; 439-446
47. Murray RM, Sastry SS. Nonholonimic motion planning: steering using sinusoids. IEEE Trans on Autom Control 1993; 38(5): 700-716
48. Fliess M, Levine J, Martin P, Rouchon P. On differentially flat nonlinear systems. Proceedings of NOLCOS'92. 1992, pp 408-412
49. Hermes H. Nilpotent approximations of control systems and distributions, SIAM J Contr and Optim 1986; 24: 731-736
50. Kawski M. Nilpotent lie algebras of vector fields. Journ. für die reine und angewandte Mathematik 1988; 388: 1-17
51. Di Giamberardino P, La Gala F, Monaco S, Normand-Cyrot D. Experimental torque control of a wheeled robot under digital motion planning. Proceedings of MIC 2001. 2001, pp 19-22
52. Monaco S, Normand Cyrot D. Discrete-time state representations: a new paradigm. In: Normand-Cyrot D (ed.) Perspectives in Control. Birkhauser, Berlin 1998, pp 191-204