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.
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 deriva- tives 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 ob- tained based on the new conditions. In the end, two examples borrowed from the literature show the effectiveness of the con- clusions.
出处
《自动化学报》
EI
CSCD
北大核心
2013年第12期2170-2176,共7页
Acta Automatica Sinica
基金
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~~
