Decentralized Sliding Mode Feedback Control Design Method for a Large Scale System with a Poly topic Models

폴리토픽 모델을 갖는 대규모 시스템을 위한 비집중화 슬라이딩 모드 제어기 설계

  • 최한호 (동국대학교 서울 전기공학과)
  • Published : 2010.01.01


Based on the sliding mode control theory, a decentralized controller design method is developed for a large scale system with a poly topic model. In terms of LMIs, we derive sufficient conditions for the existence of the decentralized controller guaranteeing a stable sliding motion. We also give an LMI-based control design algorithm. Finally, the proposed method is applied to decentralized stabilization of double-inverted pendulums. Simulation results show that our method gives not only the robust stability but perfect rejection of norm-bounded uncertainties.


  1. H. Khurana, S. I. Ahson, and S. S. Lamba, "On stabilization of large-scale control systems using variable structure system theory," IEEE Trans. Automat. Contr., vol. 31, pp. 176-178, 1986.
  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.
  3. 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.
  4. 최한호 "대규모 시스템을 위한 LMI 기반 비집중화 슬라이딩 모드 제어기 설계", 제어.자동화.시스템공학논문지, 제11권 제8호, pp. 651-655, 2005.
  5. S. Boyd, L. EI Ghaoui, E. Feron, and V. Balakrishnan, "Linear matrix inequalities in system and control theory," Philadelphia, SIAM, 1994.
  6. V. I. Utkin, "Variable structure systems with sliding modes," IEEE Trans. Automat. Contr., vol. 22, pp. 212-222, 1977.
  7. H. Zhang, C. Li, and X. Liao, "Stability anlysis and $H_{\infty}$ controller design of fuzzy large-scale systems based on piecewise Lyapunov functions," IEEE Trans. Syst. Man Cybern.-Part B: Cybern., vol. 36, pp. 685-698, 2006.