东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2007, Vol. 28 ›› Issue (6): 765-768.DOI: -

• 论著 • 上一篇    下一篇

一类非线性大系统的鲁棒H_∞模糊双曲分散控制

刘鑫蕊;张化光;   

  1. 东北大学信息科学与工程学院;东北大学信息科学与工程学院 辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2007-06-15 发布日期:2013-06-24
  • 通讯作者: Liu, X.-R.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(605340106057207060325311);;

Robust and decentralized fuzzy hyperbolic H∞ control of a class of nonlinear large-scale systems

Liu, Xin-Rui (1); Zhang, Hua-Guang (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-06-15 Published:2013-06-24
  • Contact: Liu, X.-R.
  • About author:-
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摘要： 针对一类具有参数不确定性的非线性大系统给出鲁棒H∞模糊双曲分散控制.采用模糊双曲模型(FHM)来逼近某些复杂的非线性大系统,然后采用基于FHM的状态反馈控制器,并根据Lyapunov方法和大系统的分散控制理论,以线性矩阵不等式(LMI)的形式给出使系统满足H∞性能指标的充分条件.与Takagi-Sugeno(T-S)模糊模型相比,FHM不需要前提结构的辨识和完备的前提参数空间,尤其当需要很多条规则来逼近复杂非线性系统时,采用FHM明显比采用T-S模型减少计算代价.仿真例子证明了提出方法的可行性和有效性.

关键词: 模糊双曲, 鲁棒H∞控制, 大系统, 参数不确定, 分散控制

Abstract: Robust fuzzy hyperbolic H∞ control of nonlinear large-scale systems with parametric uncertainties is studied introducing the fuzzy hyperbolic model (FHM) to approximate to some complex large-scale systems. Then, according to the direct Lyapunov method and decentralized control theory of large-scale systems, a state feedback H∞ controller based on FHM is used such that the sufficient condition can be given in terms of linear matrix inequalities to enable the systems to satisfy the H∞ performance indices. The superiority of FHM over Takagi-Sugeno (T-S) fuzzy model in practice is mainly that no identification of premise structure and complete parameter space are needed, especially FHM costs obviously less than T-S fuzzy model in computation when a lot of fuzzy rules are needed to approximate to highly complex nonlinear systems. A simulation example is given to illustrate the feasibility and validity of the design procedure proposed.

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