东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2004, Vol. 25 ›› Issue (1): 13-16.DOI: -

• 论著 • 上一篇    下一篇

基于T-S模型的非线性离散系统的鲁棒镇定

米阳;井元伟   

  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
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2004-01-15 发布日期:2013-06-24
  • 通讯作者: Mi, Y.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60274099);;东北大学博士学位论文资助项目(200308)·

Robust stabilization of nonlinear discrete-time systems based on T-S model

Mi, Yang (1); Jing, Yuan-Wei (1)   

  1. (1) Sch. of Info. Sci. and Eng., Northeastern Univ., Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2004-01-15 Published:2013-06-24
  • Contact: Mi, Y.
  • About author:-
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摘要： 研究了非线性离散系统的基于T S型模糊系统的二次镇定问题·针对含有不确定项的非线性离散系统,在构造T S模型时,引入了参数不确定项,使得模糊模型能够更精确逼近原系统·基于Lyapunov稳定性理论,推导出满足二次稳定的状态反馈控制律存在的充分必要条件,并且把该条件进一步等价为一个求解线性矩阵不等式(LMI)的问题,利用Matlab工具箱能够方便地求解出该线性矩阵不等式·最后通过对truck trailer例子的仿真,验证了该方法的可行性·

关键词: 离散系统, 模糊控制, 线性矩阵不等式, T-S模型, 鲁棒, 镇定

Abstract: The quadratic stabilization of nonlinear discrete-time systems is studied based on T-S fuzzy model. Introducing parametric uncertainty terms into building the T-S model for nonlinear discrete-time systems with uncertainty terms, the fuzzy model may approach to the original system. Based on Lyapunov stability theory, a condition for the existence of state-feedback control laws is derived to satisfy the quadratic stabilization. A linear matrix inequality equivalent to the condition is obtained, which can easily be solved using Matlab tool box. The method proposed is verified feasible through a simulative example of truck-trailer.

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