High-performance tracking controller for discrete plant using nonlinear sliding surface

IEEE Transactions on Industrial Electronics

Volumn 56, Issue 9, 2009, Pages 3628-3637

  Bandyopadhyay, B ^a   Fulwani, D ^a,b  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

^b G H PATEL COLLEGE OF ENGINEERING AND TECHNOLOGY   (India)

Author keywords

Discrete time sliding mode; Multirate output feedback (MROF); Nonlinear sliding surface

Indexed keywords

CONTROL LAWS; DISCRETE-TIME SLIDING MODE; DISTURBANCE OBSERVER; EQUIVALENT CONTROL; MULTIPLE-INPUT-MULTIPLE-OUTPUT; MULTIRATE OUTPUT FEEDBACK; MULTIRATE OUTPUT FEEDBACK (MROF); NONLINEAR SLIDING SURFACE; PERFORMANCE TRACKING; SETTLING TIME; SLIDING SURFACE; STATE VECTOR; TRANSIENT RESPONSE;

CONTINUOUS TIME SYSTEMS; LAWS AND LEGISLATION; LINEAR SYSTEMS; MAGNETIC TAPE; OBSERVABILITY; STATE FEEDBACK;

FEEDBACK;

EID: 69349096941     PISSN: 02780046     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIE.2008.2007984     Document Type: Article

References (34)

1. B. Drazenovic, "The invariance conditions in variable structure systems," Automatica, vol. 5, no. 3, pp. 287-295, May 1969.
2. V. I. Utkin, "Variable structure systems with sliding modes," IEEE Trans. Autom. Control, vol. AC-22, no. 2, pp. 212-221, Apr. 1976.
3. J. Y. Hung, W. Gao, and J. C. Hung, "Variable structure control: A survey," IEEE Trans. Ind. Electron., vol. 40, no. 1, pp. 2-22, Feb. 1993.
4. O. M. E. EL-Ghezawi, A. S. I. Zinober, and S. A. Billings, "Analysis and design of variable structure systems using a geometric approach," Int. J. Control, vol. 38, no. 3, pp. 657-671, Sep. 1983.
5. K. D. Young, V. I. Utkin, and U. Ozguner, "A control engineer's guide to sliding mode control," IEEE Trans. Control Syst. Technol., vol. 7, no. 3, pp. 328-342, May 1999.
6. C. Edwards and S. K. Spurgeon, Sliding Mode Control: Theory and Application. London, U.K.: Taylor & Francis, 1998.
7. V. I. Utkin, J. Guldner, and J. Shi, Sliding Mode Control in Electromechanical Systems. New York: Taylor & Francis, 1999.
8. 2) boundary layer in sliding mode for sampled-data systems," IEEE Trans. Autom. Control vol. 45, no. 3, pp. 482-485, Mar. 2000.
9. 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.
10. B. Bandyopadhyay and S. Janardhanan, Discrete Time Sliding Mode Control. New York: Springer-Verlag, 2006.
11. S. K. Spurgeon, "Hyperplane design techniques for discrete-time variable structure control systems," Int. J. Control, vol. 55, no. 2, pp. 445-456, Feb. 1992.
12. K. Furuta, "Sliding mode control of a discrete system," Syst. Control Lett., vol. 14, no. 2, pp. 145-152, Feb. 1990.
13. G. Golo and C. Milosavljeviæ, "Robust discrete-time chattering free sliding mode control," Syst. Control Lett., vol. 41, no. 1, pp. 19-28, Sep. 2000.
14. A. Bartoszewicz, "Discrete-time quasi-sliding-mode control strategies," IEEE Trans. Ind. Electron., vol. 45, no. 4, pp. 633-637, Aug. 1998.
15. C. Milosavljević, "General conditions for the existence of a quasi-sliding mode on the switching hyperplane in discrete variable structure systems," Autom. Remote Control, vol. 3, pp. 36-44, 1985.
16. F. A. S. Neves, B. R. Menezes, and S. R. Silva, "Discrete-time sliding mode control a new design strategy applied to induction motor drives," in Proc. Amer. Control Conf., 1998, pp. 125-130.
17. Z. Lin, M. Pachter, and S. Banda, "Toward improvement of tracking performance nonlinear feedback for linear systems," Int. J. Control vol. 70, no. 1, pp. 1-11, May 1998.
18. M. C. Turner, I. Postlethwaite, and D. J. Walker, "Non-linear tracking control for multivariable constrained input linear systems," Int. J. Control, vol. 73, no. 12, pp. 1160-1172, Aug. 2000.
19. B. M. Chen, T. H. Lee, K. Peng, and V. Venkataramanan, "Composite nonlinear feedback control for linear systems with input saturation: Theory and an application," IEEE Trans. Autom. Control, vol. 48, no. 3, pp. 427-439, Mar. 2003.
20. Y. He, B. M. Chen, and C. Wu, "Improving transient performance in tracking control for linear multivariable discrete-time systems with input saturation," Syst. Control Lett., vol. 56, no. 1, pp. 25-33, Jan. 2007.
21. V. Venkataramanan, K. Peng, B. M. Chen, and T. H. Lee, "Discrete-time composite nonlinear feedback control with an application in design of a hard disk drive servo system," IEEE Trans. Control Syst. Technol. vol. 11, no. 1, pp. 16-23, Jan. 2003.
22. Y. Li, V. Venkataramanan, G. Guo, and Y. Wang, "Dynamic nonlinear control for fast seek-settling performance in hard disk drives," IEEE Trans. Ind. Electron., vol. 54, no. 2, pp. 951-962, Apr. 2007.
23. G. Cheng, K. Peng, B. M. Chen, and T. H. Lee, "Improving transient performance in tracking general references using composite nonlinear feedback control and its application to high-speed XY-table positioning mechanism," IEEE Trans. Ind. Electron., vol. 54, no. 2, pp. 1039-1051, Apr. 2007.
24. B. M. Chen, G. Cheng, and T. H. Lee, "Modeling and compensation of nonlinearities and friction in a micro hard disk servo system with nonlinear feedback control," IEEE Trans. Control Syst. Technol., vol. 13, no. 5, pp. 708-721, Sep. 2005.
25. G. Cheng and K. Peng, "Robust composite nonlinear feedback control with application to a servo positioning system," IEEE Trans. Ind. Electron., vol. 54, no. 2, pp. 1132-1140, Apr. 2007.
26. B. Bandyopadhyay and F. Deepak, "Tracking control for discrete SISO system with non-linear sliding surface," in Proc. 3rd ICECON, Trichy, India, Dec. 2007, pp. 63-67.
27. S. Janardhanan and B. Bandyopadhyay, "Output feedback sliding-mode control for uncertain systems using fast output sampling technique," IEEE Trans. Ind. Electron., vol. 53, no. 5, pp. 1677-1682, Oct. 2006.
28. E. A. Misawa, "Discrete-time sliding mode control: The linear case," J. Dyn. Syst., Meas., Control, vol. 119, no. 4, pp. 819-821, 1997.
29. Y. Eun, J.-H. Kim, and D.-I. Cho, "Discrete-time variable structure controller with a decoupled disturbance compensator and its application to a CNC servomechanism," IEEE Trans. Control Syst. Technol., vol. 7, no. 4, pp. 414-423, Jul. 1999.
30. C. Milosavljević, Variable Structure Systems From Principles to Implementation, 2nd ed. A. Sabanovic, L. Fridman, and S. Spurgeon, Eds. London, U.K.: IEE, 2004.
31. G. Bartolini, A. Ferrara, and V. I. Utkin, "Adaptive sliding mode control in discrete-time systems," Automatica, vol. 31, no. 5, pp. 679-773, May 1995.
32. G. D. Reddy, B. Bandyopadhyay, and A. P. Tiwari, "Multirate output feedback based sliding mode spatial control for a large PHWR," IEEE Trans. Nucl. Sci., vol. 54, no. 6, pp. 2677-2686, Dec. 2007.
33. G. Franklin, J. D. Powell, and M. L. Walkman, Digital Control of Dynamic Systems. Reading, MA: Addison-Wesley, 1990.
34. V. I. Utkin, Variable Structure and Lyapunov Control, A.S. Zinober, Ed. London, U.K.: Springer-Verlag, 1993.