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The Ultimate Bound of Discrete Sliding Mode Control System with Short Sampling Period for DC Motor System

DC 모터 시스템을 위한 짧은 샘플링 시간을 갖는 이산슬라이딩 모드의 최종 수렴범위

  • 박흠용 (고려대학교 제어계측공학과) ;
  • 조영훈 (고려대학교 제어계측공학과) ;
  • 박강박 (고려대학교 제어계측공학과)
  • Published : 2010.03.01

Abstract

Almost all of control schemes proposed so far have been designed in the continuous-time domain theoretically. Actual systems, however, have been implemented in the discrete-time domain since Micro Control Unit(MCU) and/or microprocessors have been used for the controllers. Thus, the overall system turned to be a sampled-data system, and generally speaking, the ultimate error cannot converge to zero in the actual system even though the proposed control algorithm showed the asymptotic stability in the continuous-time domain. In this paper, therefore, the ultimate error bound of a sampled data system with a short sampling period has been investigated. The ultimate error is shown to be related in the sampling period.

Keywords

References

  1. V. I. Utkin, "Variable structure systems with sliding mode," IEEE Trans. on Automat. Contr., vol. 22, no. 2, pp. 212-222, 1977. https://doi.org/10.1109/TAC.1977.1101446
  2. J. Y. Hung, W. Gao, and J. C. Hung,"Variable structure control: a survey," IEEE Trans. on Industrial Electronics, vol.40, no. 1, pp.2-22, 1993. https://doi.org/10.1109/41.184817
  3. J. E. Slotine and W. Li, Applied Nonlinear Control, Prentice Hall, 1990.
  4. C. Edwards and S. K. Spurgeon, Sliding Mode Control, CRC, 1998.
  5. X. Yu and G. Chen, "Discretization behaviors of equivalent control based sliding-mode control systems," IEEE Trans. on Automat., Contr., vol.48, no.9, pp. 1641-1646, Sep. 2003. https://doi.org/10.1109/TAC.2003.816970
  6. M.-H. Son, H.-Y. Park, and K.-B. Park, "Theultimate bounds of equivalent control based sliding-mode control systems with short sampling time," Proc. of Int'l Conference on Control, Automation, and Systems, pp. 1616-1621, 2008.
  7. 박흠용, 조영훈, 박강박, "짧은 샘플링 시간을 갖는 이산슬라이딩모드 제어 시스템의 최종 수렴 범위," KACC 2009 논문집, 부산, 한국, pp. 757-760, 2009.