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

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Sliding Surface Design by Eigenstructure Assignment and Sliding Mode Control of Matched Uncertain Systems

고유구조 지정에 의한 슬라이딩 평면 설계와 불확실한 시스템의 슬라이딩 모드 제어

  • 이태봉 (경원대학교 전자정보통신공학부) ;
  • 양현석 (홍익대학교 전자전기공학과)
  • Published : 2009.08.01
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Abstract

In this paper, a new method to design sliding surfaces using eigenstructure assignment is proposed. Most conventional methods for constructing the surfaces require special form like canonical or regular canonical form of system matrices. But the proposed method can be applied to arbitrary system matrices. Futhermore, the surface matrix, C can be decided for the matrix multiplication, CB to have a designated form. SVD is used to decide desirable eigenvectors explicitly. To verify the proposed algorithm, a sliding mode controller for a multivariable system with matched uncertainty is constructed. The controller is designed to guarantee minimum approach velocity to the sliding surface.

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References

  1. V. I. Utkin, "Variable structure systems with sliding modes," IEEE Trans. Automatic Control, vol. AC-22, no. 2, pp. 212-222, Apr. 1977
  2. 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
  3. C. M. Dorling and A. S. 1. 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
  4. J. Ackermann and V. Utkin, "Sliding mode control design based on Ackerman's formular," IEEE Trans. Automatic Control, vol. 43, no. 2, pp. 234-237, Feb. 1998 https://doi.org/10.1109/9.661072
  5. 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
  6. 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
  7. R. A. DeCarlo, S. H. Zak, and G. P. Mathews, "Variable structure control of nonlinear multivariable systems: A tutorial," Proc. IEEE, vol. 76, nO. 3, pp. 212-232, Mar. 1988 https://doi.org/10.1109/5.4400
  8. T. Kailath, Linear Systems, Englewood Cliff, NJ:Prentice-Hall, 1980
  9. U. I. Utkin, Sliding Mode in Control and Optimization, Splinger-Verlag, 1992.