Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Stability Criterion for Sampled-Data System with Sliding Mode Controller

슬라이딩 모드 제어기가 적용된 샘플치 시스템에 대한 안정도 판별 조건

  • Received : 2010.12.19
  • Accepted : 2010.12.28
  • Published : 2011.02.01
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Abstract

Although most of control methods have been studied in the continuous-time domain, the actual control systems have been implemented using MCU (Micro Control Unit) and/or microprocessors so that the overall systems turn to be sampled-data systems. In this case, the stability criterion of the closed-loop system is not easy to derive. In this paper, a simple stability criterion for the sampled-data system with sliding mode controller is derived.

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References

  1. V. I. Utkin, “Variable structure systems with sliding mode,” IEEE Trans. on Automatic Control, vol. 22, no. 2, pp. 212-222, 1977. https://doi.org/10.1109/TAC.1977.1101446
  2. J. J. E. Slotine and W. Li, Applied Nonlinear Control, Prentice-Hall, 1990.
  3. 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
  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 Automatic Control, vol. 48, no. 9, pp. 1641-1646, 2003. https://doi.org/10.1109/TAC.2003.816970
  6. X. Yu, B. Wang, Z. Galias, and G. Chen, “Discretization effect on equivalent control-based multi-input sliding-mode control systems,” IEEE Trans. on Automatic Control, vol. 53, no. 6, pp. 1563-1569, 2008. https://doi.org/10.1109/TAC.2008.928311
  7. H. -Y. Park, Y. -H. Jo, and B. -K. Park, “The ultimate bound of discrete sliding mode control system with short sampling period for DC motor system,” Journal of Institute of Control, Robotics and Systems, vol. 16, no. 3, pp. 245-248, 2010. https://doi.org/10.5302/J.ICROS.2010.16.3.245