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

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Reduced Order Observer Based Sliding Mode Control

축차관측기를 사용한 슬라이딩 모드 제어

  • 최한호 (동국대학교 전기공학과)
  • Published : 2006.11.01
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Abstract

This paper presents an LMI-based method to design a reduced order observer based sliding mode controller for a class of uncertain systems. Using LMIs we derive an existence condition of a reduced order observer and a sliding mode control law. And we give explicit formulas of the gain matrices. Finally, we give a numerical design example, together with a design algorithm.

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References

  1. B. L. Walcott and S. H. Zak, 'Combined observer-controller sysnthesis for uncertain dynamical systems with applications,' IEEE Trans. Systems, Man, and Cybernetics, vol. 18, no. 1, pp. 88-104, 1988 https://doi.org/10.1109/21.87057
  2. C. Edwards and S. K. Spurgeon, 'On the developement of discontinuous observers,' Int. J. Control, vol. 59, pp. 1211-1229, 1994 https://doi.org/10.1080/00207179408923128
  3. C. P. Tan and C. Edwards, 'An LMI approach for designing sliding mode observers,' Int. J. Contr. vol. 74, no. 16, pp. 1559-1568, 2001 https://doi.org/10.1080/00207170110081723
  4. 최한호, '슬라이딩 모드 관측기 설계를 위한 선형행렬 부등식 접근법', 제어.자동화.시스템공학 논문지, 제11권, 제1호, pp. 9-12, 2005 https://doi.org/10.5302/J.ICROS.2005.11.1.009
  5. P. Gahinet, A. Nemirovski, and A. J. Laub, 'LMI Control Toolbox User's Guide,' Natic, MA: The MathWorks Inc., 1995
  6. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, 'Linear Matrix Inequalities in system and Control Theory,' Philadelphia, SIAM, 1994
  7. T. Iwasaki and R. E. Skelton, 'All controllers for the general $H_{\infty}$ control problem: LMI existnce condition and state space formulas,' Automatica, vol. 30, pp. 1307-1317, 1994 https://doi.org/10.1016/0005-1098(94)90110-4
  8. S. H. Zak and S. Hui 'On variable structure output feedback controllers for uncertain dynamic systems,' IEEE Trans. Automat. Contr., vol. 38, no. 10, pp. 1509-1512, 1993 https://doi.org/10.1109/9.241564
  9. U. Shaked, 'An LPD approach to robust $H_2$ and $H_{\infty}$ static output-feedback design,' IEEE Trans. Automat. Contr., vol. 48, pp. 866-872, 2003 https://doi.org/10.1109/TAC.2003.811270