Robust H∞ control for uncertain fuzzy systems with distributed delays via output feedback controllers

Robust H∞ control for uncertain fuzzy systems with distributed delays via output feedback controllers
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DOI:
10.1016/j.ins.2008.06.017
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发表时间:
2008-11
期刊:
Inf. Sci.
影响因子:
--
通讯作者:
Xiaona Song;Shengyuan Xu;Hao Shen
Xiaona Song;Shengyuan Xu;Hao Shen
中科院分区:
其他
文献类型:
--
作者:
Xiaona Song;Shengyuan Xu;Hao Shen

文献摘要

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研究了一类不确定分布时滞模糊系统的鲁棒H∞输出反馈控制问题。该系统由一个具有分布时滞和范数有界参数不确定性的状态空间Takagi-Sugeno模糊模型描述。目的是设计一个模糊动态输出反馈控制器,保证闭环系统的鲁棒渐近稳定性,并对所有容许的不确定性保证干扰衰减的H∞范数界约束。利用线性矩阵不等式,给出了该问题可解的一个充分条件。最后,仿真例子来说明所提出的设计方法的有效性。
This paper investigates the problem of robust H∞output feedback control for a class of uncertain fuzzy systems with distributed delays. The system is described by a state-space Takagi–Sugeno fuzzy model with distributed delays and norm-bounded parameter uncertainties. The aim is to design a fuzzy dynamic output feedback controller which ensures the robust asymptotic stability of the closed-loop system and guarantees an H∞norm bound constraint on disturbance attenuation for all admissible uncertainties. In terms of linear matrix inequalities, a sufficient condition for the solvability of this problem is presented. Finally, simulation examples are provided to illustrate the effectiveness of the proposed design approach.