Journal of Systems Engineering and Electronics ›› 2006, Vol. 17 ›› Issue (4): 836-845.doi: 10.1016/S1004-4132(07)60025-5

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Decentralized robust stabilization of discrete-time fuzzy large-scale systems with parametric uncertainties: a LMI method

Zhang Yougang & Xu Bugong
  

  1. Coll. of Automatic Science & Engineering, South China Univ. of Technology, Guangzhou 510640, P. R. China
  • Online:2006-12-25 Published:2019-12-20

Abstract:

Decentralized robust stabilization problem of discrete-time fuzzy large-scale systems with parametric uncertainties is considered. This uncertain fuzzy large-scale system consists of N interconnected T-S fuzzy subsystems, and the parametric uncertainties are unknown but norm-bounded. Based on Lyapunov stability theory and decentralized control theory of large-scale system, the design schema of decentralized parallel distributed compensation (DPDC) fuzzy controllers to ensure the asymptotic stability of the whole fuzzy large-scale system is proposed. The existence conditions for these controllers take the forms of LMIs. Finally a numerical simulation example is given to show the utility of the method proposed.

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