Journal of the Korea Academia-Industrial cooperation Society (한국산학기술학회논문지)

The Korea Academia-Industrial cooperation Society (한국산학기술학회)
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Variable Structure Control Design Based on Eigenvalues Assignment of Sliding Mode

슬라이딩 모드 고유치 설정에 기반을 둔 가변구조 제어 설계

  • Hong, Yeon-Chan (Department of Electronics, Incheon University) ;
  • Lee, Tae-Bong (Division of Electronics and Information Communication, Kyungwon University)
  • 홍연찬 (인천대학교 전자공학과) ;
  • 이태봉 (경원대학교 전자정보통신학부)
  • Received : 2010.04.06
  • Accepted : 2010.06.18
  • Published : 2010.06.30
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Abstract

A new scheme for variable structure control design which is based on eigenvalues assignment of sliding mode is developed. In conventional methods, generally, specific type of system matrix like canonical or regular form is required to construct a switching surface. Furthermore, the methods are not explicit. The new method in this paper solved the problems. No special type of system matrix is required and very explicit. It is shown that the switching surface can be constructed and determined uniquely without any dependency on the system form. The proposed method is based on the fact that the dynamics of sliding mode is determined by system zeros. Finally, a numerical example is given to verify the validity of the results studied in this paper.

본 논문에서는 FSM(finite-state machine)을 이용하여 차수 계산(degree computation)을 하지 않고 수정된 유클리드 알고리즘(modified Euclidean algorithm)을 구현할 수 있는 구조를 제안한다. 제안된 구조는 차수계산이 필요없기 때문에 RS(Reed-Solomon) 복호기의 하드웨어 복잡도를 줄일 수 있고, 고속의 복호기 설계가 가능하게 된다. 제안된 구조를 이용하는 RS(255,239) 복호기를 Verilog HDL로 구현하였고, 기존의 복호기에 비해 게이트 수를 약 13%정도 줄일 수 있다.

Keywords

References

  1. U. Itkis, Control System of Variable Structure, Keter Publishing House Jerusalem Ltd, 1976.
  2. V. I. Utkin, Sliding Modes in Control Optimization, Springer-Verlag, 1992.
  3. O. M. E. El-Ghezawi, A. S. I. Zinober, and S. A. Billings, "Analysis and design of variable structure systems using geometric approach," Int. J. Control, vol. 38, pp. 657-671, 1983. https://doi.org/10.1080/00207178308933100
  4. W. Su, S. V. Drakunov, and U. Ozguner, "Construting discontinuty surface for variable structure systems: A Lyapunov approach," Automatica, vol. 32, pp. 925-928, 1996. https://doi.org/10.1016/0005-1098(96)00017-9
  5. H. H. Choi, "A new method for variable structure control system design:A linear matrix inequality approach," Automatica, vol. 33, pp. 2089-2092, 1997. https://doi.org/10.1016/S0005-1098(97)00118-0
  6. J. Ackermann and V. Utkin, "Sliding mode control design based on Ackerman's formular," IEEE Trans. Autom. Control, vol. 43, no. 2, pp. 234-237, Feb. 1998. https://doi.org/10.1109/9.661072
  7. C. M. Dorling and A. S. I. Zinober, "Two approaches to hyperplane design in multivariable variable structure systems," Int. J. Control, vol. 44, pp. 65-82, 1986. https://doi.org/10.1080/00207178608933583
  8. 이태봉, 양현석, "고유구조 지정에 의한 슬라이딩 평 면 설계와 불확실한 시스템의 슬라이딩 모드 제어," J. of Institute of Control, Robotics and Systems Vol. 15, No. 8 pp. 812-817, 2009. https://doi.org/10.5302/J.ICROS.2009.15.8.812
  9. J. J. Lee and Y. Xu, "A new method of switching surface design for multivariable structure system," IEEE Trans. Automat. Contr., vol. 39, pp. 414-419, 1994. https://doi.org/10.1109/9.272347
  10. H. H. Rosenbrock, State-space and Multivariable Theory, John Wiely and Sons, 1970
  11. Stanislaw H. Zak and Stefen Hui "On Variable Structure Output Feedback Controllers for Uncertain Dynamic Sysstems," IEEE Trans. Automat. Contr., vol. 38 pp. 1509-1512, 1993. https://doi.org/10.1109/9.241564