J4 ›› 2011, Vol. 38 ›› Issue (1): 142-146+183.doi: 10.3969/j.issn.1001-2400.2011.01.023

• Original Articles • Previous Articles     Next Articles

Design of the controller for nonlinear interconnected systems

GUO Gang1,2;NIU Wensheng3;MA Jianfeng1
  

  1. (1. School of Computer Science and Technology, Xidian Univ., Xi'an  710071, China;
    2. Academy of Info. Tech., Luoyang Normal Univ., Luoyang  471022, China;
    3. China Aeronautics Computing Tech. Research Inst., Xi'an  710068, China)
  • Received:2009-12-15 Online:2011-02-20 Published:2011-04-08
  • Contact: GUO Gang E-mail:guogang@lynu.edu.cn

Abstract:

The decentralized state feedback control problem is studied for a nonlinear interconnected systems with a time-varying delay in both states and inputs which are composed of a number of Takagi-Sugeno (T-S) fuzzy bilinear subsystems with interconnections. Based on the Lyapunov criterion and the parallel distribution compensation scheme, the delay-dependent stabilization sufficient conditions are derived for the whole close-loop fuzzy interconnected systems, which have less conservativeness than that by the existing methods. The corresponding decentralized fuzzy controller design is converted into a convex optimization problem with linear matrix inequality (LMI) constraints. Finally, a simulation example shows the effectiveness of the proposed approach.

Key words: fuzzy control systems, delay systems, robust control, nonlinear interconnected system, decentralized control, linear matrix inequality