东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2006, Vol. 27 ›› Issue (3): 244-247.DOI: -

• 论著 • 上一篇    下一篇

T-S模糊广义系统的次优控制

周林娜;张庆灵;刘国义;   

  1. 东北大学理学院;东北大学理学院;东北大学理学院 辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-23 修回日期:2013-06-23 出版日期:2006-03-15 发布日期:2013-06-23
  • 通讯作者: Zhou, L.-N.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60574011)

Sub-optimal control of T-S fuzzy descriptor system

Zhou, Lin-Na (1); Zhang, Qing-Ling (1); Liu, Guo-Yi (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2006-03-15 Published:2013-06-23
  • Contact: Zhou, L.-N.
  • About author:-
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摘要： 基于T-S模糊系统模型,对一类非线性广义系统进行建模,给出了使得模糊广义系统二次稳定的模糊状态反馈控制器存在的充分条件,同时求出了该控制器下系统二次性能指标的上界;以线性矩阵不等式(LMIs)的形式给出了使系统二次性能指标上界最小的优化设计方法,同时给出了使得模糊广义系统二次稳定的模糊状态反馈控制器的设计方法;最后,通过一个数值例子证明了该控制器设计方法的有效性和可行性.

关键词: T-S模糊模型, 模糊控制, 广义系统, 次优控制, PDC控制器

Abstract: Based on T-S fuzzy system model, a class of nonlinear descriptor systems is modeled to give a sufficient condition on which the fuzzy state feedback controller exists to ensure the fuzzy descriptor system a quadratic stability with the upper bond of the quadratic performance index of the controlled system determined. Then, a method to minimize the upper bond of the quadratic performance function is obtained in terms of linear matrix inequalities, as well as the method to design the controller that provides the system with quadratic stability. A numerical example was given to illustrate the feasibility and validity of the design method proposed.

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