中山大学学报自然科学版 ›› 2011, Vol. 50 ›› Issue (1): 14-17.

• 研究论文 • 上一篇    下一篇

关联大系统的静态输出反馈控制

郭 岗1,牛文生2,崔西宁2,朱 敏3   

  1. (1. 洛阳师范学院信息技术学院,河南 洛阳 471022;2. 中国航空计算技术研究所,陕西 西安 710068;3. 西安通信学院,陕西 西安 710106)
  • 收稿日期:2010-02-04 修回日期:1900-01-01 出版日期:2011-01-25 发布日期:2011-01-25

Static Output Feedback Control for a Interconnected Systems

GUO Gang 1, NIU Wensheng 2, CUI Xining 2, ZHU Min 3

  

  1. (1. Academy of Information Technology, Luoyang Normal University, Luoyang 471022, China;2. Aeronautics Computing Technique Research Institute, Xian 710068, China;3. Xian Communications Institute, Xian 710106, China)
  • Received:2010-02-04 Revised:1900-01-01 Online:2011-01-25 Published:2011-01-25

摘要: 研究了一类基于TS双线性模型的非线性关联大系统的分散静态输出控制反馈问题。应用Lyapunov稳定性分析理论,得到了闭环关联大系统渐近稳定的充分条件,并把这些条件转换成线性矩阵不等式(LMI)的形式,相应的分散模糊控制器可由线性矩阵不等式的解得到。最后,通过仿真数例验证了所提方法的有效性。

关键词: 非线性关联大系统, 模糊双线性模型, 分散控制, 静态输出反馈控制, 线性矩阵不等式(LMI)

Abstract: The problem of decentralized static output feedback control for a nonlinear interconnected system which is composed by a number of TakagiSugeno (TS) fuzzy bilinear subsystems with interconnections is presented. Based on the Lyapunov criterion, some sufficient stabilization conditions are derived for the whole closeloop fuzzy interconnected systems. The stabilization conditions are further formulated into linear matrix inequalities (LMI) so that the corresponding decentralized controllers can be easily obtained by using the Matlab LMI toolbox. Finally, a simulation example shows that the approach is effective.

Key words: nonlinear interconnected system, fuzzy bilinear model, decentralized control, static output feedback control, linear matrix inequality (LMI)

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