连续Takagi-Sugeno模糊系统的局部<i>H</i><sub>∞</sub>控制

王利魁; 黎冰; 刘娟娟

doi:10.3724/SP.J.1004.2013.02170

连续Takagi-Sugeno模糊系统的局部H_∞控制

doi: 10.3724/SP.J.1004.2013.02170

1.
南昌航空大学数学与信息科学学院南昌 330063

基金项目:

国家自然科学基金（61104220），江西省自然科学基金（2010GQS0173），江西省教育厅基金（GJJ11170）资助

详细信息

作者简介:
王利魁南昌航空大学数学与信息科学学院副教授，博士. 主要研究方向为模糊控制和滤波. 本文通信作者. E-mail：wlk0228@163.com

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出版历程
- 收稿日期: 2012-12-19
- 修回日期: 2013-05-13
- 刊出日期: 2013-12-20

Local H_∞ Control for Continuous-time Takagi-Sugeno Fuzzy Model

1.
College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang 330063

Funds:

Supported by National Natural Science Foundation of China (61104220), Natural Science Foundation of Jiangxi Province (2010G QS0173), and Scientific Research Foundation of Jiangxi Provincial Education Department (GJJ11170)

摘要

摘要: 针对含有外部扰动的连续Takagi-Sugeno模糊系统，本文给出了抑制这种扰动的局部H∞控制新方法. 首先，应用拉格朗日极值法给出了新的界定隶属函数导数的条件，与现有文献相比该条件有两个优点：1）能够将 Lyapunov水平集必须包含在紧集C中的要求转化为线性矩阵不等式（Linear matrix inequality，LMI）；2）能够找出比现有文献大的稳定区域. 然后，基于此条件得到了局部H∞控制定理. 最后通过两个仿真算例证明了该方法的有效性.
- Takagi-Sugeno 模糊系统 /
- 非平行控制律 /
- H∞性能 /
- 线性矩阵不等式
Abstract: In this brief paper, a new local H∞ control method is proposed to reject the disturbance for continue-time Takagi-Sugeno fuzzy model. First, some new conditions are obtained by using the Lagrange multiplier method to bound the time derivatives on the membership function. Compared with the latest results in the literature, the merits of new conditions are two points: 1) We can get some linear matrix inequalities (LMIs) to ensure the requirement that the local stabilization region should be contained in C; 2) We can find a larger stabilization region than the latest results. Then, the H∞ control theorem is obtained based on the new conditions. In the end, two examples borrowed from the literature show the effectiveness of the conclusions.
- Takagi-Sugeno’s fuzzy model /
- non-parallel distributed compensation law /
- H∞ performance /
- linear matrix inequality

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参考文献(22)

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