Delay-dependent robust H_∞ control for T-S fuzzy system with interval time-varying delay

Engang Tian; Dong Yue; Yijun Zhang

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Delay-dependent robust H_∞ control for T-S fuzzy system with interval time-varying delay

机译：区间时变时滞的T-S模糊系统的时滞相关鲁棒H_∞控制

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摘要

This paper is concerned with the problem of robust H_∞ control for uncertain T-S fuzzy systems with interval time-varying delay, that is, the delay is assumed to be a time-varying function belonging to an interval. By defining new Lyapunov functions and making use of novel techniques to achieve delay dependence, new conditions for the existence of robust H_∞ controller are obtained based on the parallel distributed compensation (PDC) method. In this article, all the conditions are shown in terms of linear matrix inequalities (LMIs), which can be solved efficiently by using the LMI optimization techniques. Two numerical examples are given to illustrate the less conservatism of the proposed method.

机译：本文研究了不确定的具有区间时变时滞的T-S模糊系统的鲁棒H_∞控制问题，即，该时延被假定为属于区间的时变函数。通过定义新的Lyapunov函数并利用新颖的技术来实现延迟依赖性，基于并行分布补偿（PDC）方法获得了鲁棒H_∞控制器存在的新条件。在本文中，所有条件均以线性矩阵不等式（LMI）表示，可以使用LMI优化技术有效地解决这些问题。给出了两个数值例子来说明所提方法的保守性较低。

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来源
《Fuzzy sets and systems》 |2009年第12期|1708-1719|共12页
作者
Engang Tian; Dong Yue; Yijun Zhang;
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作者单位

School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, Jiangsu, China;

School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, Jiangsu, China;

School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
takagi-sugeno model; interval time-varying delay; lyapunov functional; delay dependent;

机译：高木杉野模型间隔时变延迟lyapunov功能;依赖延迟;

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专利

1. Delay-dependent robust H_∞ control for uncertain stochastic T-S fuzzy systems with time-varying state and input delays [J] . T. Senthilkumar, P. Balasubramaniam International journal of systems science . 2011,第4a6期

机译：时变状态和输入时滞的不确定随机T-S模糊系统的时滞相关鲁棒H_∞控制
2. Delay-dependent Robust Stabilization and H∞ Control for Uncertain Stochastic T-S Fuzzy Systems with Discrete Interval and Distributed Time-varying Delays [J] . P. Balasubramaniam, T. Senthilkumar International Journal of Automation and Computing . 2013,第1期

机译：离散时间和分布时变不确定的不确定随机T-S模糊系统的时滞相关鲁棒镇定和H∞控制
3. Robust H_∞ dynamic output feedback control for interval type-2 T-S fuzzy multiple time-varying delays systems with external disturbance [J] . Zheng Wei, Zhang Zhiming, Wang Hongbin, Journal of the Franklin Institute . 2020,第6期

机译：鲁棒H_∞动态输出反馈控制，用于间隔类型-2 T-S模糊多时变延迟系统，外部干扰
4. Delay-dependent H_(infinity) exponential stabilization of T-S fuzzy systems with interval time-varying delay [C] . Hamdi Gassara, Ahmed El Hajjaji, Mohamed Chaabane Institute of Electrical and Electronics Engineers Conference on Decision and Control . 2010

机译：间隔时变延迟的T-S模糊系统的延迟依赖性H_（Infinity）指数稳定
5. Robust Hinfinity Model Reference Tracking Control of Singular Systems Using T-S Fuzzy Model and LMI [D] . Rohit, Shamendu Roy. 2014

机译：基于T-S模糊模型和LMI的鲁棒Hinfinity模型参考跟踪控制
6. Delay-dependent stability and stabilization criteria for T–S fuzzy singular systems with interval time-varying delay by improved delay partitioning approach [O] . Chao Sun, Fuli Wang, Xiqin He -1

机译：时滞时滞的TS模糊奇异系统的时滞相关稳定性和镇定准则
7. Delay-dependent Robust Stabilization and H∞ Control for Uncertain Stochastic T-S Fuzzy Systems with Discrete Interval and Distributed Time-varying Delays [O] . P. Balasubramaniam, T. Senthilkumar 2013

机译：具有离散间隔和分布时变延迟的不确定随机T-S模糊系统的延迟依赖性鲁棒稳定和H∞控制

Delay-dependent robust H_∞ control for T-S fuzzy system with interval time-varying delay

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