DOI QR코드

DOI QR Code

LMI-based Design of Output Feedback Integral Sliding Mode Controllers

출력 궤환 적분 슬라이딩 모드 제어기의 LMI 기반 설계

  • 최한호 (동국대학교 전기공학과)
  • Received : 2010.08.11
  • Accepted : 2010.12.17
  • Published : 2011.01.01

Abstract

This paper presents an LMI-based method to design an output feedback integral sliding mode controller for a class of uncertain systems. Using LMIs we derive an existence condition of a sliding surface. And we give a switching feedback control law. Finally, we give a numerical design example in order to show the effectiveness of the proposed method.

Keywords

References

  1. R.A. DeCarlo, S.H. Zak, and G.P. Mathews, "Variable structure control of nonlinear multivariable systems: A tutorial," IEEE Proceedings, vol. 76, pp. 212-232, 1988 https://doi.org/10.1109/5.4400
  2. V.I. Utkin, "Variable structure systems with sliding modes," IEEE Trans. Automat. Contr., vol. 22, pp. 212-222, 1977 https://doi.org/10.1109/TAC.1977.1101446
  3. C. Edwards, "A practical method for the design of sliding mode controllers using linear matrix inequalites," Automatica., vol. 40, pp. 1761-1769, 2004 https://doi.org/10.1016/j.automatica.2004.05.004
  4. C. Edwards, A. Akoachere, and S. K. Spurgeon, "Sliding mode output feedback controller design using linear matrix inequalities," IEEE Trans. Automat. Contr., vol. 46, pp. 115-119, 2001. https://doi.org/10.1109/9.898702
  5. 최한호, "크기가 제한된 제어기를 갖는 비정합 불확실성의 가변구조 시스템을 위한 점근 안정 영역 추정" 전기 공학회 논문지, 56권, 3호, pp. 600-603, 2007
  6. 최한호, "전차수 슬라이딩 모드 관측기를 대체하는 축소차수 관측기의 LMI 기반 설계,," 제어로봇시스템학회 논문지, 14권, 3호, pp. 232-235, 2008 https://doi.org/10.5302/J.ICROS.2008.14.3.232
  7. J. Ackermann and V.I. Utkin, "Sliding mode control design based on Ackermann's formula", IEEE Trans. Automat. Contr., vol. 43, no. 2, pp. 234-237, 1998 https://doi.org/10.1109/9.661072
  8. H.H. Choi, "LMI-based sliding surface design for integral sliding mode control of mismatched uncertain systems," IEEE Trans. Automat. Contr., vol. 52. no. 4, pp. 736-742, 2007 https://doi.org/10.1109/TAC.2007.894543
  9. S. Boyd, L. El Ghaoui, E. Feron and V. Balakrishnan, Linear Matrix Inequalities in system and Control Theory, Philadelphia, SIAM, 1994.
  10. H.H. Choi, " Sliding-mode output feedback control design," IEEE Trans. Ind. Electron., vol. 55. no. 11, pp. 4047-4054, 2008 https://doi.org/10.1109/TIE.2008.2004386
  11. U. Shaked "An LPD approach to robust $H_2$ and $H_{\infty}$ static output-feedback design," IEEE Trans. Automat. Contr., vol. 48, no.5, pp.866-872, 2003 https://doi.org/10.1109/TAC.2003.811270