Bifurcation and chaotic behaviors in a discrete variable structure system with unbounded control magnitude

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 7, Issue 8, 1997, Pages 1897-1905

  Yu, Xinghuo ^a  

^a CENTRAL QUEENSLAND UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031205918     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127497001473     Document Type: Article

References (13)

1. Astrom, K. J. & Wittenmark, B. [1984] Computer Controlled Systems: Theory and Design (Prentice-Hall, Englewood Cliffs, NJ).
2. DeCarlo, R. A., Zak, S. H. & Matthews, G. P. [1988] "Variable structure control of nonlinear multivariable systems: A tutorial," Proc. IEEE 76, 212-232.
3. Hale, J. & Kocak, H. [1991] Dynamics and Bifurcations (Springer-Verlag, New York).
4. Grantham, W. J. & Athalye, A. M. [1990] "Discretization chaos: Feedback control and transition to chaos," Control and Dynamic Syst. 34, 205-277.
5. Rubio, F. R., Aracil, J. & Camacho, E. F. [1985] "Chaotic motion in an adaptive control system," Int. J. Control 42, 353-360.
6. Ushio, T. & Hirai, K. [1983] "Chaos in nonlinear sampled-data control systems," Int. J. Control 38, 1023-1033.
7. Utkin, V. I. [1977] "Variable structure systems with sliding modes," IEEE Trans. Automatic Control AC-22, 212-222.
8. Utkin, V. I. [1992] Sliding Mode in Control Optimization (Spring-Verlag, Berlin, Heidelberg).
9. Yu, X. [1993] "Digital variable structure control with pseudo-sliding mode," in Variable Structure and Lyapunov Control, Chap. 7. ed. Zinober, A. S. I. (Springer-Verlag, London).
10. Yu, X. [1994] "Discretization effect on a dynamical system with discontinuity," in Chaotic Numerics, Contemporary Mathematics, Vol. 172, 269-277.
11. Yu, X. [1995] "Discretization chaos in the switching control system with finite switching values," Int. J. Bifurcation and Chaos 5(6), 1749-1755.
12. Zinober, A. S. I. [1990] Deterministic Control of Uncertain Systems (Peter Peregrinus Ltd).
13. Zinober, A. S. I. [1993] Lyapunov and Variable Structure Control (Springer-Verlag, London).