Steady-state analysis for a class of sliding mode controlled systems using describing function method

Nonlinear Dynamics

Volumn 30, Issue 3, 2002, Pages 223-241

  Huang, Ying Jeh ^a   Wang, Yuan Jay ^a  

^a YUAN ZE UNIVERSITY   (Taiwan)

Author keywords

Describing function; Limit cycle; Sliding mode; Stability

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROL SYSTEM SYNTHESIS; DESCRIBING FUNCTIONS; FREQUENCY DOMAIN ANALYSIS; NONLINEAR CONTROL SYSTEMS; SWITCHING FUNCTIONS; SYSTEM STABILITY; TRANSFER FUNCTIONS;

FIRST-ORDER LAG TRANSFER FUNCTION; LIMIT CYCLE; STEADY-STATE ANALYSIS; SWITCHING CONTROL GAIN SELECTION;

SLIDING MODE CONTROL;

EID: 0036845195     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020565510218     Document Type: Article

References (17)

1. Utkin, V. I., 'Variable structure system with sliding mode', IEEE Transactions on Automatic Control AC-22, 1977, 212-222.
2. Decarlo, R. A., Zak, S. H., and Matthews, G. P., 'Variable structure control of nonlinear multivariable systems: A tutorial', Proceedings of the IEEE 76, 1988, 212-232.
3. Hung, J. Y., Gao, W. B., and Hung, J. C., 'Variable structure control: A survey', IEEE Transactions on Industrial Electronics 40, 1993, 2-22.
4. Slotine, J. J. E. and Sastry, S. S., 'Tracking control of nonlinear systems using sliding surfaces with application to robot manipulators', International Journal of Control 38, 1983, 465-492.
5. Young, K. D., Utkin, V. I., and Özguner, Ü., 'A control engineer's guide to sliding mode control', IEEE Transactions on Control System Technology 7, 1999, 328-342.
6. Draženović, B., 'The invariance conditions in variable structure systems', Automatica 5, 1969, 287-295.
7. Hung, J. C., 'Chattering handling for variable structure control systems', in Proceedings of the IECON '93 International Conference on Industrial Electronics, Control, and Instrumentation, 1993, pp. 1968-1972.
8. Bondarev, A. G., Bondarev, S. A., Kostylova, N. Y., and Utkin, V. I., 'Sliding modes in systems with asymptotic state observer', Automation and Remote Control 6, 1985, 679-684.
9. Young, K. D. and Drakunov, S. V., 'Sliding mode control with chattering reduction', in Proceedings of the 1992 American Control Conference, Chicago, IL, 1992, pp. 1291-1292.
10. Su, W. C., Drakunov, S. V., Özguner, Ü., and Young, K. D., 'Sliding mode with chattering reduction in sample data systems', in Proceedings of the 32nd IEEE Conference on Decision and Control, San Antonio, TX, IEEE, New York, 1993, pp. 2452-2457.
11. Shtessel, Y. B. and Lee, Y. J., 'New approach to chattering analysis in systems with sliding modes', in Proceedings of the 35th IEEE Conference on Decision and Control, Kobe, Japan, IEEE, New York, 1996, pp. 4014-4019.
12. Lii, G. H., Chang, C. H., and Han, K. W., 'Analysis of robust control systems using stability equations', Journal of Control Systems and Technology 1, 1993, 83-89.
13. Han, K. W. and Thaler, G. J., 'Control system analysis and design using a parameter space method', IEEE Transactions on Automatic Control AC-11, 1966, 560-563.
14. Atherton, D. P., Nonlinear Control Engineering, Van Nostrand Reinhold, New York, 1982.
15. Huang, Y. J. and Yeung, K. S., 'A control scheme robust against all parameter variations and disturbance', International Journal of Systems Science 25, 1994, 1621-1629.
16. Fang, C. C. and Abed E. H., 'Robust feedback stabilization of limit cycles in PWM DC-DC converters', Nonlinear Dynamics 27, 2002, 295-309.
17. Zill, D. G. and Cullen, M. R., Advanced Engineering Mathematics, PWS, Boston, MA, 1992.