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

• 制导、导航与控制 • 上一篇    下一篇

离散模糊双线性关联大系统的广义H2分散控制

李江荣1,2，李俊民1，夏志乐1,3   

  1. 1. 西安电子科技大学理学院, 陕西 西安 710068; 
    2. 延安大学计算机学院, 陕西 延安716000; 
    3. 台州学院数信学院, 浙江 台州 317000
  • 出版日期:2010-10-10 发布日期:2010-01-03

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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摘要：

基于分段二次Lyapunov函数稳定性理论，研究了一类离散模糊双线性关联大系统广义H2分散控制问题。模糊双线性关联大系统由J个相互关联的离散T-S模糊双线性系统组成。通过构造分段Lyapunov函数，给出了系统二次稳定的充分性条件。在此基础上，设计了广义H2分散状态反馈控制器，使闭环系统广义H2稳定，控制器的设计可以通过序列线性规划矩阵方法求解得到。仿真结果表明所提方法的有效性。

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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