Variable structure control of fractional time-delay systems

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 2, Issue PART 1, 2006, Pages 213-217

  El Khazali, Reyad ^a   Ahmad, Wajdi H ^b  

^a KHALIFA UNIVERSITY   (United Arab Emirates)

^b UNIVERSITY OF SHARJAH   (United Arab Emirates)

Author keywords

Fractional systems; Sliding mode control; Time Delay systems

Indexed keywords

APPLICATION PROGRAMS; SLIDING MODE CONTROL; TIME DELAY; TIMING CIRCUITS; VARIABLE STRUCTURE CONTROL;

DESIGN METHODOLOGY; FRACTIONAL SYSTEMS; FRACTIONAL-ORDER SYSTEMS; INCOMMENSURATE ORDERING; STABILITY REGIONS; SWITCHED CONTROLLER; SWITCHING MANIFOLD; TIME-DELAY SYSTEMS;

DELAY CONTROL SYSTEMS;

EID: 79961111560     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20060719-3-pt-4902.00039     Document Type: Conference Paper

References (16)

1. Carpinteri, A. and Mainardi, F.(1997). Fractals and Fractional Calculus in Continuum Mechanics. Spinger-Verlag, Wein and New York.
2. DeCarlo, R.A., Drakunov,S., and Li, X., (2000). A unifying characterisation of robust sliding mode control: a Lyapunov approach. ASME J. of Dynamics and Systems, Measurement, and Control, 122, 708-718.
3. Edwards, C. and Spergeon, S. (1998). Sliding Mode Control: Theory and Applications. Taylor & Francis.
4. El-Khazali, R., (1998). Variable Structure Robust Control of Uncertain Time-Delay Systems. Automatica, Vol. 34, No. 3, pp. 327-332.
5. st-IFAC Workshop on Fractional Differentiation and Application (FDA04), pp. 495-500, Bourdeaux, France.
6. Gantmacher, F.R. (1989). The Theory of Matrices. Chelsea, Pub. Co., New York.
7. Gorenflo, R. and Mainardi, F. (1996). Fractional Calculus: Integral and Differential Equations of Fractional Order. CISM Course Scaling Laws and Fractality in Continuum Mechanics, Lecture Notes, Udine, Italy, Sept., 23-27.
8. Matignon, D. (1996a). Stability Results for Fractional Differential Equations with Applications to Control Processing. Lille, France, IMACS, IEEE-SMC, pp. 963-968.
9. Matignon, D. (1996b). Recent results in fractional differential systems theory. Tech. Rep. 96 C 004, Ecole National Superieure des Telecommunications.
10. Miller, K.S., and Ross, B. (1993). An introduction to the fractional calculus and fractional differential equations. John Wiley & Sons.
11. Oldham, K.B. and Spanier, J.(1974). The fractional calculu., Acad. Press.
12. Podlubny, I. (1999). Fractional Differential Equations. Acad. Press.
13. Richard, Jean-Pierre (2003). Time-Delay: an overview of some recent advances and open problems. Automatica, 39, pp 1667-1694.
14. Sinha, A., EL-Sharkawy, M., and Rizkalla, M., (1997). Sliding Mode Control of Uncertain delay differential systems. Nonlinear Analysis, Theory, Methods and Applications, 30, 1075-1086. (Pubitemid 127406798)
15. Utkin, V.I. (1977). Variable Structure Systems with sliding mode. IEEE Trans. On Auto. Cont., 26, No 2, pp 212-222.
16. Xiaoqiu Li and R. A. DeCarlo, (2004). Robust Sliding Mode Control of Uncertain Time-Delay Systems. Int. J. Contr., Vol. 76, No. 13, pp. 1296-1305.