Variable-structure repetitive control: A discrete-time strategy

IEEE Transactions on Industrial Electronics

Volumn 52, Issue 2, 2005, Pages 610-616

  Sun, Mingxuan ^a   Wang, Youyi ^b   Wang, Danwei ^b  

^a ZHEJIANG UNIVERSITY OF TECHNOLOGY   (China)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Discrete time systems; Quasi sliding mode; Repetitive control; Robustness; Variable structure control

Indexed keywords

COMPUTER SIMULATION; FREQUENCY DOMAIN ANALYSIS; POLYNOMIALS; SLIDING MODE CONTROL; SYSTEM STABILITY; THEOREM PROVING; TIME DOMAIN ANALYSIS;

QUASI SLIDING MODE; REPETITIVE CONTROL; VARIABLE STRUCTURE CONTROL;

DISCRETE TIME CONTROL SYSTEMS;

EID: 17744363475     PISSN: 02780046     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIE.2005.844227     Document Type: Article

References (21)

1. V. I. Utkin, "Sliding mode control in discrete-time and difference systems," in Variable Structure and Lyapunov Control, A. S. I. Zinober, Ed. London. U.K.: Springer-Verlag, 1994, pp. 87-107.
2. C. Milosavljevic, "General conditions for the existence of a quasisliding mode on the switching hyperplane in discrete variable structure systems," Autom. Remote Control, vol. 46, no. 3, pp. 307-314, 1985.
3. S.Z. Sarpturk, Y. Istefanopulos, and O. Kaynak, "On the stability of discrete-time sliding mode control systems," IEEE Trans. Autom. Control, vol. 32, no. 10, pp. 930-932, Oct. 1987.
4. K. Furuta, "Sliding mode control of a discrete system," Syst. Control Lett., vol. 14, no. 2, pp. 145-152, 1990.
5. H. Sira-Ramirez, "Non-linear discrete variable structure systems in quasisliding mode," Int. J. Control, vol. 54, no. 5, pp. 1172-1187, 1991.
6. W. Gao, Y. Wang, and A. Homaifa, "Discrete-time variable structure control systems," IEEE Trans. Ind. Electron., vol. 42, no. 2, pp. 117-122. Apr. 1995.
7. A. Bartoszewicz, "Discrete-time quasisliding-mode control strategies," IEEE Trans. Ind. Electron., vol. 45. no. 4, pp. 633-637, Aug. 1998.
8. R. Morgan and U. Ozguner, "A decentralized variable structure control algorithm for robotic manipulators," IEEE Trans. Robot. Autom., vol. 1, no. 1. pp. 57-65, Mar. 1985.
9. C.Y. Chan, "Robust discrete-time sliding mode controller," Syst. Control Lett., vol. 23, pp. 371-374, 1994.
10. Y. Eun, J. Kim, K. Kim, and D. Cho, "Discrete-time variable structure controller with a decoupled disturbance compensator and its application to a CNC servomechanism," IEEE Trans. Contr. Syst. Technol., vol. 7. no. 4, pp. 414-423, Jul. 1999.
11. K. Furuta, "VSS type self-tuning control," IEEE Trans. Ind. Electron., vol. 40, no. 1, pp. 37-44, Feb. 1993.
12. P.-M. Lee and J.-H. Oh, "Improvements on VSS-type self-tuning control for a tracking controller," IEEE Trans. Ind. Electron., vol. 45, no. 2, pp. 319-325. Apr. 1998.
13. X. Chen, T. Fukuda, and K. D. Young, "Adaptive quasisliding-mode tracking control for discrete uncertain input-output systems," IEEE Trans. Ind. Electron., vol. 48, no. l, pp. 216-224, Feb. 2001.
14. S. Hara, Y. Yamamoto, T. Omata, and M. Nakano, "Repetitive control system: A new type servo system for periodical exogenous signals," IEEE Trans. Autom. Control, vol. 33, no. 7, pp. 659-668, Jul. 1988.
15. M. Tomizuka, T. C. Tsao, and K. K. Chew, "Analysis and synthesis of discrete-time repetitive controllers," Trans. ASME, J. Dyn. Syst., Meas., Control. vol. 111, pp. 353-358, Sep. 1989.
16. G.F. Ledwich and A. G. Bolton, "Tracking periodic inputs using sampled compensators," Proc. IEE - Control Theory Appl., pt. D, vol. 138, pp. 242-248, May 1991.
17. Z. Cao and G. F. Ledwich, "Adaptive repetitive control to track variable periodic signals with fixed sampling tare," IEEE/ASME Trans. Mechatronics, vol. 7, no. 3, pp. 178-384, Sep. 2002.
18. G. Hillerstrom, "Adaptive suppression of vibrations - A repetitive control approach," IEEE Trans. Contr. Syst. Technol., vol. 4. no. 1, pp. 72-78, Jan. 1996.
19. M. Sun and Y. Wang, "Periodic disturbance compensation in discrete-time sliding mode control," in Proc. 2002 Int. Conf. Control and Automation, Xiamen, China, Jun. 2002, pp. 1279-1283.
20. M. Sun, J. Zhou, and Y. Wang, "Discrete-time variable structure repetitive control," in Proc. 2002 IEEE Int. Conf. Industrial Technology, Bangkok, Thailand, Dec. 2002, pp. 718-723.
21. V. Kucera, "Minimum variance control: A homage to peterka," Int. J. Adapt. Control Signal Process., vol. 13, pp. 433-449, 1999.