Approaches to quadratic stability conditions and H∞ control designs for T-S fuzzy systems
Approaches to quadratic stability conditions and H∞ control designs for T-S fuzzy systems
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DOI：
10.1109/tfuzz.2003.819834
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发表时间：
2003-12
期刊：
影响因子：
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通讯作者：
Xiaodong Liu;Qingling Zhang
中科院分区：
文献类型：
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作者：
Xiaodong Liu;Qingling Zhang
本文研究了T-S模糊系统的二次稳定性条件和H/sub /spl模糊控制器设计问题。首先，提出了一个新的二次稳定性条件，该条件比以前的文献中的条件更简单。其次，利用线性矩阵不等式（LMI）给出了T-S模糊系统状态反馈H/sub /spl infin///控制存在的两个新的充分条件。该条件不仅简单，而且考虑了模糊子系统之间的相互作用。最后，基于线性矩阵不等式，给出了T-S模糊系统H/sub /spl模糊控制器的设计方法。
In this paper, the problems of quadratic stability conditions and H/sub /spl infin// control designs for Takagi-Sugeno (T-S) fuzzy systems have been studied. First, a new quadratic stability condition, which is more simple than that in a previous paper, has been proposed. Second, two new sufficient conditions in the terms of linear matrix inequalities (LMIs) which guarantee the existence of the state feedback H/sub /spl infin// control for the T-S fuzzy systems have been proposed. The conditions are not only simple but also consider the interactions among the fuzzy subsystems. Finally, based on the LMIs, the H/sub /spl infin// controller designing methods for the T-S fuzzy systems have been given.