Robust H ∞ control for T–S fuzzy systems with time-varying delay
Robust H ∞ control for T–S fuzzy systems with time-varying delay
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DOI：
10.1080/00207720903353658
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发表时间：
2010-12
影响因子：
4.3
通讯作者：
H. Gassara;A. Hajjaji;M. Chaabane
中科院分区：
文献类型：
--
作者：
H. Gassara;A. Hajjaji;M. Chaabane
研究了一类不确定时变时滞T-S模糊系统的鲁棒H ∞控制问题。采用一种新的技术，基于并行分布补偿方法，得到了鲁棒H ∞控制器存在的时滞相关镇定条件.所得到的结果是一个重要的贡献，因为它建立了一个新的方法，可以减少保守性，而不施加任何限制和计算工作在同一时间。在这篇文章中，所有的条件都显示在线性矩阵不等式（LMI），这可以有效地解决使用LMI优化技术。两个数值例子来证明本文所提出的方法的优点。最后，应用控制的卡车拖车也证明了所提出的设计方法的有效性。
This article focuses on the problem of robust H ∞ control for uncertain T–S fuzzy systems with time-varying delay. By employing a novel technique, new delay-dependent stabilisation conditions for the existence of a robust H ∞ controller are obtained based on the parallel distributed compensation method. The result obtained is an important contribution as it establishes a new way that can reduce the conservatism without imposing any restrictions and computational efforts at the same time. In this article, all the conditions are shown in terms of linear matrix inequalities (LMIs), which can be solved efficiently by using LMI optimisation techniques. Two numerical examples are given to demonstrate the merits of the approach proposed in this article. Finally, application to control a truck-trailer is also given to demonstrate the effectiveness of the proposed design method.