Delayed decomposition approach to the robust absolute stability of a Lur'e control system with time-varying delay

Pin- Lin Liu

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Delayed decomposition approach to the robust absolute stability of a Lur'e control system with time-varying delay

机译：具有时变时滞的Lur'e控制系统的鲁棒绝对稳定性的延迟分解方法

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摘要

This study considers the robust absolute stability criteria for Lur'e systems with time-varying delay and sector-bounded nonlinearity. Using a delayed decomposition approach that splits the overall delay time into three subintervals and by introducing a new Lyapunov-Krasovskii functional, some new delay-dependent and robust absolute stability criteria are obtained in terms of linear matrix inequalities. Numerical examples from four benchmark problems are presented to illustrate the superior performance of the proposed approach compared with previously reported methods.

机译：这项研究考虑了具有时变时滞和扇形边界非线性的Lur'e系统的鲁棒绝对稳定性准则。使用将总延迟时间分为三个子间隔的延迟分解方法，并通过引入新的Lyapunov-Krasovskii泛函，就线性矩阵不等式获得了一些新的依赖于延迟和鲁棒的绝对稳定性准则。给出了四个基准问题的数值示例，以说明与以前报道的方法相比，该方法的优越性能。

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来源
《Applied Mathematical Modelling》 |2016年第3期|2333-2345|共13页
作者
Pin- Lin Liu;
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作者单位

Department of Automation Engineering Institute of Mechatronoptic System, Chienkuo Technology University, Changhua, 500, Taiwan, ROC;

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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
Absolute stability; Delayed decomposition approach; Lur'e system; Maximum admissible upper bound; Time-varying delay;

机译：绝对稳定性;延迟分解法;Lur'e系统;最大允许上限;时变延迟;

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专利

1. Comment on "Further improvement on delay-range-dependent robust absolute stability for Lur'e uncertain systems with interval time-varying delays" by P. Liu [ISA Trans. 58(2015)58-66] [J] . Duan Wenyong, Fu Xiaorong, Liu Zhengfan, ISA Transactions . 2016,第Null期

机译：P. Liu [ISA Trans。上的评论“对具有间隔时变时滞的Lur'e不确定系统的与时延相关的鲁棒绝对稳定性的进一步改进”。 58（2015）58-66]
2. Further improvement on delay-range-dependent robust absolute stability for Lur'e uncertain systems with interval time-varying delays [J] . Liu Pin-Lin ISA Transactions . 2015,第Null期

机译：具有间隔时变时滞的Lur'e不确定系统对与时滞相关的鲁棒绝对稳定性的进一步改进
3. Delayed-Decomposition Approach for Absolute Stability of Neutral-Type Lurie Control Systems With Time-Varying Delays [J] . Liu Pin-Lin Journal of Dynamic Systems, Measurement, and Control . 2015,第8期

机译：具有时变时滞的中立型Lurie控制系统的绝对稳定性的时滞分解方法
4. Less conservative stability criteria for a class of Lur'e dynamical system with mixed time-varying delays using delay-decomposition approach [C] . Kaibo Shi, Hong Zhu, Yong Zeng, 2014 International Conference on Mechatronics and Control . 2014

机译：具有时变混合时滞的Lur'e动力系统的保守度较小的稳定性准则
5. Stability and Control for Machining of Thin-Walled Structures: A Time-Varying Delayed Distributed Parameter System. [D] . Esfandi, Niloufar. 2017

机译：薄壁结构加工的稳定性和控制：时变时滞分布式参数系统。
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. Robust Stability of Neutral System with Mixed Time-Varying Delays and Nonlinear Perturbations Using Delay Decomposition Approach [O] . Fang Qiu, Quanxin Zhang 2014

机译：利用延迟分解方法利用混合时变延迟和非线性扰动的鲁棒稳定性

Delayed decomposition approach to the robust absolute stability of a Lur'e control system with time-varying delay

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