DOI QR코드

DOI QR Code

An LMI-based Decentralized Sliding Mode Static Output Feedback Control Design Method for Large Scale Systems

대규모 시스템을 위한 LMI기반 비집중화 슬라이딩 모드 정적 출력 궤환 제어기 설계

  • 최환호 (동국대학교 전기공학과)
  • Published : 2008.04.01

Abstract

In this paper, we consider the problem of designing decentralized sliding mode static output feedback control laws for a class of large scale systems with mismatched uncertainties. We derive a sufficient condition for the existence of a linear switching surface in terms of constrained linear matrix inequalities(LMIs), and we parameterize the linear switching surfaces in terms of the solution matrices to the given constrained LMI existence conditions. We also give an LMI-based algorithm for designing decentralized switching feedback control laws. Finally, we give a design example in order to show the effectiveness of our method.

Keywords

References

  1. H. Khurana, S. I. Ahson, and S. S. Lamba, "On stabilization of large-scal control systems using variable structure system theory" IEEE Trans. Automat. Contr., vol. 31, pp.176-178, 1986 https://doi.org/10.1109/TAC.1986.1104203
  2. X. Xu, Y. Wu, and W. Huang, "Variable structure control approach of decentralized model reference adaptive systems," IEE Proc. Pt. D, vol. 137, pp. 302-306, 1990 https://doi.org/10.1049/ip-d.1990.0037
  3. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, "Linear Matrix Inequalities in system and Control Theory, Philadelphia," SIAM, 1994
  4. X.-G. Yan, C. Edwards, and S. K. Spurgeon, "Decentralised robust sliding mode control for a class of nonlinear interconnected systems by static output feedback," Automatica, vol. 40, pp. 613-620, 2004 https://doi.org/10.1016/j.automatica.2003.10.025
  5. L. Xie and C. E. DeSouza, "Robust H$\infty$ control for linear systems with norm-bounded time-varying uncertainty," IEEE Trans. Automat. Contr., vol. 37, pp. 1188-1191, 1992 https://doi.org/10.1109/9.151101
  6. L. El Ghaoui, F. Oustry, and M. AitRami, "A cone complementarity linearization algorithm for static output-feedback and related problems," IEEE Trans. Automat. Contr., vol. 42, pp. 1171-1176, 1997 https://doi.org/10.1109/9.618250
  7. 최한호, "LMI 기반 제어기 설계를 위한 간단한 지침서," 제어.자동화.시스템공학회지, 제 11 권, 제 2호, pp. 54-66, 2005