Robust H∞ control for uncertain fuzzy neutral systems with both distributed delays and input delays

Yong-ming Li, Y. Chu, Shengyuan Xu, Zhenjiang Zhao
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Abstract

This paper further investigated the problem of robust H∞ control for uncertain fuzzy neutral systems with both distributed delays and input delays. Different from literature[4], not only input delays will be carefully considered, but also how to to reducing the conservativeness in the designing of fuzzy controller will be shown by Relaxed LMI. Based on Takagi-Sugeno (T-S) fuzzy model and a useful matrix inequality, some sufficient conditions for the solvability of the problem is obtained by utilizing a proper Lyapunov functional and LMI approach.
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具有分布时滞和输入时滞的不确定模糊中立型系统的鲁棒H∞控制
进一步研究了具有分布时滞和输入时滞的不确定模糊中立型系统的鲁棒H∞控制问题。与文献[4]不同的是,relax LMI在设计模糊控制器时不仅要仔细考虑输入延迟,还要考虑如何降低保守性。基于Takagi-Sugeno (T-S)模糊模型和一个有用的矩阵不等式,利用适当的Lyapunov泛函和LMI方法,得到了问题可解的一些充分条件。
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