Variable Structure Controller for Linear Time-Varying Sampled-Data Systems with Disturbances

외란을 갖는 선형 시변 샘플링된 시스템에 대한 가변구조제어기

  • 박강박 (고려대학교 제어계측공학과)
  • Published : 2002.12.01

Abstract

In this paper, a discrete-time variable structure controller for linear time-varying sampled-data systems with disturbances is proposed. The proposed method guarantees that the system state if globally uniformly ultimately bounded (G.U.U.B), and the ultimate bound is shown to be the order of T, O(T), where T is a sampling period.

References

  1. W. C. Su, S. V. Drakunov, and U. Ozguner, 'An $O(T^2)$ Boundary Layer in Sliding Mode for Sampled-Data Systems,' IEEE Trans. Automat. Contr., vol. 45, no. 3, pp. 482-485, 2000 https://doi.org/10.1109/9.847728
  2. M. Chakravarthini Saaj, B. Bandyopadhyay, Heinz Unbehauen, 'A Ne Algorithm for Discrete-Time Sliding-Mode Control Using Fast Output Sampling Feedback,' IEEE Trans. Ind. Electron, vol. 49, no. 3, pp. 518-523, 2002 https://doi.org/10.1109/TIE.2002.1005376
  3. X. Chen, T. Fukuda, and K. David Young, 'Adaptive Quasi-Sliding-Mode Tracking Control for Discrete Uncertain Input-Output Systems,' IEEE Trans. Ind. Electron, vol. 48, no. 1, pp. 216-224, 2001 https://doi.org/10.1109/41.904582
  4. Y. Pan, and K. Furuta, 'Discrete-time VSS controller design,' Int. J. of Robust Nonlinear Control, vol. 7, pp. 373-386, 1997 https://doi.org/10.1002/(SICI)1099-1239(199704)7:4<373::AID-RNC282>3.0.CO;2-3
  5. K. Furuta, 'Sliding mode control of a discrete system,' System & Control Letters, vol. 14, pp. 145-152, 1990 https://doi.org/10.1016/0167-6911(90)90030-X
  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, 1995 https://doi.org/10.1109/41.370376
  7. Gene F. Franklin, J. David Powell, and Michael Workman, Digital Control of Dynamic Systems, Addison Wesley, 1998
  8. S. Z. Sarpturk, Y. Istefanopulos, and O. Kaynak, 'On the stability of discrete-time sliding mode control systems,' IEEE Trans. Automat. Contr., vol. 32, no. 10, pp. 930-932, 1987 https://doi.org/10.1109/TAC.1987.1104468
  9. R. A. DeCarlo, S. H. Zak, and G. P. Matthews, 'Variable structure control of nonlinear multivariable systems: A tutorial,' Proc. IEEE, vol. 76, no. 3, pp. 212-232, 1988 https://doi.org/10.1109/5.4400
  10. 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, 1993 https://doi.org/10.1109/41.184817
  11. V. I. Utkin, 'Variable Structure Systems with Sliding Mode,' IEEE Trans. Automat Contr., vol. 22, no. 2, pp. 212-222, 1977 https://doi.org/10.1109/TAC.1977.1101446