Stabilization of uncertain fuzzy time-delay systems via variable structure control approach
Stabilization of uncertain fuzzy time-delay systems via variable structure control approach
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DOI：
10.1109/tfuzz.2005.859310
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发表时间：
2005-12
影响因子：
11.9
通讯作者：
Chong Lin;Qing‐Guo Wang;Tong-heng Lee
中科院分区：
文献类型：
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作者：
Chong Lin;Qing‐Guo Wang;Tong-heng Lee
针对变结构控制在T-S模糊模型镇定问题中的新应用，研究了T-S模糊模型下不确定模糊时滞系统的变结构控制镇定问题。本文主要有两个特点：一是考虑了时滞（包括光滑时滞和非光滑时滞），在这种情况下，需要利用李雅普诺夫泛函和Razumikhin定理来解决镇定问题;二是不仅考虑了状态变量中的匹配不确定性，而且考虑了状态变量中的非匹配不确定性。作为一个序列，本文的贡献包括各种控制方案提出的VSC的设计和目前的结果是在线性矩阵不等式（LMI）。一个说明性的例子来说明我们的各种结果的有效性。
In view of a recent new application of variable structure control (VSC) to the stabilization problem for Takagi-Sugeno (T-S) fuzzy models, this paper aims to study the stabilization of uncertain fuzzy time-delay systems in T-S fuzzy model via VSC approach. There are mainly two features in this paper: one lies in the incorporation of time-delays (both smooth and nonsmooth delays) in which case Lyapunov functionals and Razumikhin Theorem are required to solve the stabilization problem; the other feature is that not only matched uncertainties but also mismatched uncertainties in the state variables are considered. As a sequence, the contribution of this paper consists of various control schemes proposed for the VSC design and the present results are in terms of linear matrix inequalities (LMIs). An illustrative example is given to show the effectiveness of our various results.