Time-discretization of nonlinear systems with delayed multi-input using taylor series

KSME International Journal

Volumn 18, Issue 7, 2004, Pages 1107-1120

  Park, Ji Hyang ^a   Chong, Kil To ^a   Kazantzis, Nikolaos ^b   Parlos, Alexander G ^c  

^a Chonbuk National University   (South Korea)

^b Worcester Polytechnic Institute   (United States)

^c Department of Electrical and Computer Engineering   (United States)

Author keywords

Multi input; Nonlinear system; Taylor series; Time delay; Time discretization

Indexed keywords

ALGORITHMS; AUTOMOBILES; COMPUTATIONAL METHODS; CONTROL EQUIPMENT; INTERNET; LINEAR SYSTEMS;

MULTI-INPUT; TAYLOR-SERIES; TIME-DELAY; TIME-DISCRETIZATION;

NONLINEAR SYSTEMS;

EID: 8344255782     PISSN: 12264865     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02983285     Document Type: Article

References (17)

1. Byeon, K. S. and Song, J. B., 1997, "Control of Throttle Actuator System based on Time Delay Control," KSMEA, Vol. 21, No. 12, pp. 2081-2090, in Korea.
2. Choi, B. H., Jung, W. J. and Choi, H. R., 1999, "Study for Control of Master-Slave Teleoperation System with Time Delay," KSMEA, Vol. 23, No. 1, pp. 57-65, in Korea.
3. Choi, J. S. and Back, Y. S., 2002, "A Single DOF Magnetic Levitation System using Time Delay Control and Reduced-Order Observer," KSME Int. J., Vol. 16, No. 12, pp. 1643-1651, in Korea.
4. Franklin, G. F., Powell, J. D. and Workman, M. L., 1998, Digital Control of Dynamic Systems. Addison-Wesley, New York.
5. Henk Nijmeijer and Arjan van der Schaft, 1990, Nonlinear dynamical control systems. Springer-Verlag, New York.
6. Hong, K. S. and Wu, J. W., 1994, "Stability and Coefficients Properties of Polynomials of Linear Discrete Systems," KSME Int. J., Vol. 8, No. 1, pp. 1-5, in Korea.
7. Jeong, K. W. and Lee, S. H., 1995," Design of Robust Controller for Teleoperated Robot System with Time Delay," KSME, Vol. 19, No. 12, pp. 3141-3150, in Korea.
8. Kang, S. J. and Park, K. S., 1999, "Discretization-Based Analysis of Structural Electrodynamics," KSME Int. J., Vol. 13, No. 11, pp. 842-850, in Korea.
9. Kazantzis, N. and Kravaris, C., 1997, "System-Theoretic Properties of Sampled-Data Representations of Nonlinear Systems Obtained via Taylor-Lie Series," Int. J. Control., Vol. 67, pp. 997-1020.
10. Kazantzis, N. and Kravaris, C., 1999, "Time-Discretization of Nonlinear Control Systems via Taylor Methods," Comp. Chem. Engn., Vol. 23, pp. 763-784.
11. Kazantzis, N., Chong, K. T., Park, J. H. and Parlos, A. G., 2003, "Control-relevant Discretization of Nonlinear Systems with Time-Delay Using Taylor-Lie Series," American Control Conference, pp. 149-154.
12. Kwon, O. S., Chang, P. H. and Jung, J. H., 2002, "Stability Analysis of Time Delay Controller for General Plants," KSMEA, Vol. 26, No. 6, pp. 1035-1046, in Korea.
13. Lee, J. W. and Chang, P. H., 1999, "Input/Output Linearization using Time Delay Control and Time Delay Observer," KSME Int. J., Vol. 13, No. 7, pp. 546-556, in Korea.
14. Park, J. H., 2004, "Discretization of Nonlinear System with Time-Delay via Taylor Series," M. S. Thesis, Chonbuk National University, Jeon-Ju, Feb, in Korea.
15. Svoronos, S. A., Papageorgiou, D. and Tsiligiannis, C., 1994, "Discretization of Nonlinear Control Systems via the Carleman Linearization," Chem. Engin. Sci., Vol. 49, pp. 3263-3267.
16. Vaccaro, R. J., 1995, Digital Control. McGraw-Hill, New York.
17. Vidyasagar, M., 1978, Nonlinear Systems Analysis. Prentice Hall, Englewood Cliffs.