Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (10): 2203-2209.doi: 10.3969/j.issn.1001-506X.2010.10.39

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Generalized H2 decentralized control for discrete fuzzy bilinear large-scale systems

LI Jiangrong1,2，LI Junmin1，XIA Zhile1,3   

  1. 1. School of Science, Xidian Univ., Xi’an 710068, China; 
    2. Coll. of Mathematics and Computer Science, Yan’an Univ., Yan’an 716000, China; 
    3. School of Mathematics and Information  Engineering, Taizhou Univ., Taizhou 317000, China
  • Online:2010-10-10 Published:2010-01-03

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Abstract:

This paper is concerned with generalized H2 decentralized control for discrete-time fuzzy bilinear large-scale systems based on piecewise Lyapunov function.The fuzzy large-scale systems consist of J interconnected discrete-time T-S fuzzy bilinear systems. The stability sufficient condition of the discrete-time fuzzy bilinear systems is derived via constructing a piecewise quadratic Lyapunov function. The generalized H2 decentralized state-feedback controller is also designed by using sequentially linear programming matrix method (SLPMM), which ensures the generalized H2 stability of closed-loop systems. The simulation example shows the effectiveness of the proposed method.

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