Robust H infinity Control for Singular Time-Delay Systems via Parameterized Lyapunov Functional Approach

Liu Li-li; Wu Bao-wei; Wang Yue-E

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Robust H infinity Control for Singular Time-Delay Systems via Parameterized Lyapunov Functional Approach

机译：基于参数化Lyapunov函数方法的奇异时滞系统的鲁棒H无限控制

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摘要

A new version of delay-dependent bounded real lemma for singular systems with state delay is established by parameterized Lyapunov-Krasovskii functional approach. In order to avoid generating nonconvex problem formulations in control design, a strategy that introduces slack matrices and decouples the system matrices from the Lyapunov-Krasovskii parameter matrices is used. Examples are provided to demonstrate that the results in this paper are less conservative than the existing corresponding ones in the literature.

机译：通过参数化Lyapunov-Krasovskii泛函方法，建立了具有状态时滞的奇异系统的时滞相关有界实引理的新版本。为了避免在控制设计中产生非凸问题公式，使用了引入松弛矩阵并使系统矩阵与Lyapunov-Krasovskii参数矩阵解耦的策略。通过实例说明，本文的结果不如文献中现有的结果那么保守。

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《Mathematical Problems in Engineering》 |2014年第21期|790521.1-790521.9|共9页
作者
Liu Li-li; Wu Bao-wei; Wang Yue-E;
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Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China.;

Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China.;

Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China.;

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1. RobustH∞Control for Singular Time-Delay Systems via Parameterized Lyapunov Functional Approach [J] . Li-liLiu, Bao-weiWu, Yue-EWang Mathematical Problems in Engineering: Theory, Methods and Applications . 2014,第2期

机译：基于参数化Lyapunov函数方法的奇异时滞系统的鲁棒H∞控制
2. An LMI approach to robust H-infinity control for uncertain singular time-delay systems [J] . Xiaofu JI, Hongye SU, Jian CHU Journal of Control Theory and Applications . 2006,第4期

机译：不确定奇异时滞系统的鲁棒H-∞控制的LMI方法
3. An LMI approach to robust H-infinity control for uncertain singular time-delay systems [J] . Xiaofu JI, Hongye SU, Jian CHU 控制理论与应用（英文版） . 2006,第004期

机译：不确定奇异时滞系统的鲁棒H-∞控制的LMI方法
4. Robust stability and stabilization for uncertain singular time-delay systems via discretized Lyapunov functional approach [C] . Liu Lili Control and Decision Conference (CCDC), 2012 24th Chinese . 2012

机译：离散Lyapunov泛函方法对不确定奇异时滞系统的鲁棒稳定性和镇定
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. Trust-based fault detection and robust fault-tolerant control of uncertain cyber-physical systems against time-delay injection attacks [O] . Salman Baromand, Amirreza Zaman, Lyudmila Mihaylova 2021

机译：基于信任的故障检测和鲁棒容错控制不确定的网络物理系统免受时间延迟注入攻击的影响
7. RobustH∞Control for Singular Time-Delay Systems via Parameterized Lyapunov Functional Approach [O] . Li-li Liu, Bao-wei Wu, Yue-E Wang 2014

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Robust H infinity Control for Singular Time-Delay Systems via Parameterized Lyapunov Functional Approach

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