Δ-Modulated feedback in discretization of sliding mode control

Automatica

Volumn 42, Issue 5, 2006, Pages 771-776

  Xia, Xiaohua ^a,c,d,e,f   Zinober, Alan S I ^b,c  

^a UNIVERSITY OF PRETORIA   (South Africa)

^b UNIVERSITY OF SHEFFIELD   (United Kingdom)

^c IEEE   (United Kingdom)

^d IFAC   (Italy)

^e Engineering Council of South Africa   (South Africa)

^f South African Academy of Engineering   (South Africa)

Author keywords

Delta modulation; Periodic points; Sliding mode control

Indexed keywords

GLOBAL ATTRACTING PROPERTY; MODULATED FEEDBACK CONTROL; PERIODICITY; SCALAR DISCRETE-TIME SYSTEM; ZOH DISCRETIZATION SCHEME;

DELTA MODULATION; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; TIME VARYING SYSTEMS;

SLIDING MODE CONTROL;

EID: 33645164771     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2005.12.026     Document Type: Article

References (14)

1. C.I. Byrnes, and A. Isidori Local stabilization of minimum phase nonlinear systems Systems and Control Letters 11 1988 9 17
2. M.L. Corradini, and G. Orlando Variable structure control of discretized continuous-time systems IEEE Transactions on Automatic Control 43 1998 1329 1334
3. Gai, R., Xia, X., & Chen, G. (2003). Complex dynamics of systems under delta-modulated control. Technical Report, Department of Electrical, Electronic and Computer Engineering, University of Pretoria, South Africa.
4. W.-B. Gao, and J.C. Hung Variable structure control of nonlinear systems: a new approach IEEE Transactions on Industrial Electronics 40 1993 45 55
5. H. Inose, and Y. Yasuda A unity bit coding method by negative feedback Proceedings of the IEEE 51 1963 1524 1535
6. A.J. Koshkouei, and A.S.I. Zinober Sliding mode control of discrete-time systems ASME Journal of Dynamic System of Measurement and Control 122 4 2000 793 802
7. 2) boundary layer in sliding mode for sampled-data systems IEEE Transactions on Automatic Control 45 2000 482 484
8. Xia, X., Chen, G., Gai, R., & Zinober, A. S. I. (2004). Periodicity in Δ -modulated feedback control. Sixth IFAC symposium on nonlinear control systems, Stuttgart, Germany, 1-3 September 2004.
9. X. Xia, R. Gai, and G. Chen Periodic orbits arising from delta-modulated feedback control Chaos, Solitons and Fractals 19 2004 281 295
10. X. Xia, and A.S.I. Zinober Periodic orbits from Δ -modulation of stable linear systems IEEE Transactions on Automatic Control 49 8 2004 1376 1380
11. X. Yu Discretization effect on a sliding mode control system with bang-bang type switching International Journal of Bifurcation and Chaos 8 1998 1245 1257
12. X. Yu, and G. Chen Discretization behaviors of equivalent control based sliding mode control systems IEEE Transactions on Automatic Control 48 2003 1641 1646
13. Zinober, A. S. I. (1994). Variable structure and Lyapunov control, Lecture notes in control and information sciences, Vol. 193. London: Springer.
14. Zinober, A. S. I., & Xia, X. (2004). Periodic orbits, Δ -modulation and sliding mode control. Eighth international workshop on variable structure Systems, Vilanova i la Geltru, Spain, 6-8 September 2004.