具有加性时变时滞的不确定T-S模糊系统的时滞相关鲁棒镇定

Q4 Computer Science

International Journal of Automation and Smart Technology Pub Date : 2017-06-01 DOI:10.5875/ausmt.v7i2.1278

Idrissi Said, E. Tissir, I. I. Boumhid

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引用次数: 11

摘要

研究了具有时变时滞的不确定Takagi-Sugeno (T-S)模糊系统的鲁棒镇定问题。考虑了适当的Lyapunov-Krasovskii函数来求解该问题，得到了比现有方法保守性小得多的结果。该方法利用两个可加延迟分量构造了一个新的Lyapunov-Krasovskii泛函，并且在理论结果推导中不使用自由加权矩阵。这减少了线性矩阵不等式中标量决策变量的数量。通过对一组线性矩阵不等式的数值求解，得到了模糊状态反馈增益。最后，给出了数值算例来说明所提方法的有效性，并与以往的工作进行了比较。

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Delay-dependent Robust Stabilization for Uncertain T-S Fuzzy Systems with Additive Time Varying Delays

This paper investigates the problem of robust stabilization for uncertain Takagi–Sugeno (T–S) fuzzy systems with additive time varying delays. An appropriate Lyapunov-Krasovskii function is considered for solving this problem, and obtains considerably less conservative results than existing methods. The proposed approach constructs a new Lyapunov-Krasovskii functional using two additive delay components, and no free weighting matrices are employed in the theoretical result derivation. This reduces the number of scalar decision variables in linear matrix inequalities. The fuzzy state feedback gain is derived through the numerical solution of a set of linear matrix inequalities (LMIs). Finally, numerical examples are provided to illustrate the effectiveness of the proposed method, and to allow comparison with previous works.

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来源期刊

International Journal of Automation and Smart Technology Engineering-Electrical and Electronic Engineering

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

16 weeks

期刊介绍： International Journal of Automation and Smart Technology (AUSMT) is a peer-reviewed, open-access journal devoted to publishing research papers in the fields of automation and smart technology. Currently, the journal is abstracted in Scopus, INSPEC and DOAJ (Directory of Open Access Journals). The research areas of the journal include but are not limited to the fields of mechatronics, automation, ambient Intelligence, sensor networks, human-computer interfaces, and robotics. These technologies should be developed with the major purpose to increase the quality of life as well as to work towards environmental, economic and social sustainability for future generations. AUSMT endeavors to provide a worldwide forum for the dynamic exchange of ideas and findings from research of different disciplines from around the world. Also, AUSMT actively seeks to encourage interaction and cooperation between academia and industry along the fields of automation and smart technology. For the aforementioned purposes, AUSMT maps out 5 areas of interests. Each of them represents a pillar for better future life: - Intelligent Automation Technology. - Ambient Intelligence, Context Awareness, and Sensor Networks. - Human-Computer Interface. - Optomechatronic Modules and Systems. - Robotics, Intelligent Devices and Systems.