Robust H∞-compensator design for time-delaysystems with norm-bounded time-varying uncertainties

Xingjian Xue; Damou Qiu

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Robust H∞-compensator design for time-delaysystems with norm-bounded time-varying uncertainties

机译：具有范数有界时变不确定性的时滞系统的鲁棒H∞补偿器设计

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Considers robust H∞-compensator design for linear systems that involve unknown time delays both in states and controls and time-varying norm-bounded parameter uncertainties. Sufficient conditions for designing robust compensators are obtained in terms of two Riccati inequalities which are not mutually coupled, through which a full-order robust H∞-compensator can be obtained. Finally, a small example is given to show the applicability of the proposed approach

机译：考虑针对线性系统的鲁棒H∞补偿器设计，该线性系统涉及状态和控制中的未知时间延迟以及随时间变化的范数界参数不确定性。根据两个不相互耦合的Riccati不等式，获得了设计鲁棒补偿器的充分条件，通过它们，可以获得全阶鲁棒H∞补偿器。最后，给出一个小例子来说明该方法的适用性

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来源
《IEEE Transactions on Automatic Control》 |2000年第7期|p.1363-1369|共7页
作者
Xingjian Xue; Damou Qiu;
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正文语种 eng
中图分类自动化系统;
关键词
H∞ control; Riccati equations; compensation; control system synthesis; delay systems; feedback; linear systems; robust control; Riccati inequalities; norm-bounded time-varying uncertainties; robust H∞-compensator design; sufficient condition;

机译：H∞控制;Riccati方程;补偿;控制系统综合;时滞系统;反馈;线性系统;鲁棒控制;Riccati不等式;范数时变不确定性;鲁棒H∞补偿器设计;充分条件;

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1. Robust H/sub /spl infin//-compensator design for time-delay systems with norm-bounded time-varying uncertainties [J] . Xingjian Xue, Damou Qiu IEEE Transactions on Automatic Control . 2000,第7期

机译：具有范数界时变不确定性的时滞系统的鲁棒H / sub / spl infin //-补偿器设计
2. LMI Robust Stability Condition for Linear Systems with Time-Varying Elemental Uncertainties, Norm-Bounded Uncertainties and Delay Perturbations [J] . Liang-An ZHENG, Shinn-Horng CHEN, Jyh-Horng CHOU JSME International Journal. Series C, Mechanical Systems, Machine Elements and Manufacturing . 2004,第1期

机译：时变元素不确定，范数有界不确定和时滞扰动的线性系统的LMI鲁棒稳定性条件
3. LMI Robust Stability Condition for Linear Systems with Time-Varying Elemental Uncertainties, Norm-Bounded Uncertainties and Delay Perturbations [J] . Liang-An ZHENG, Shinn-Horng CHEN, Jyh-Horng CHOU JSME International Journal. Series C, Mechanical Systems, Machine Elements and Manufacturing . 2004,第1期

机译：时变元素不确定，范数有界不确定和时滞扰动的线性系统的LMI鲁棒稳定性条件
4. Robust H#8734;Fault Tolerant Control Design for Linear Uncertain Systems with Time-varying Norm-bounded Parameter Uncertainty [C] . Jun Li, Gang Wu, Zhiquan Wang World Congress on Intelligent Control and Automation . 2006

机译：鲁棒H ∞线性不确定系统的容错控制设计与时变常态参数不确定性
5. Linear matrix inequality approach to robust emergency lateral control of a highway vehicle with time-varying uncertainties. [D] . Benton, Robert Edward, Jr. 1997

机译：具有时变不确定性的公路车辆鲁棒紧急侧向控制的线性矩阵不等式方法。
6. Matrix Inequalities Based Robust Model Predictive Control for Vehicle Considering Model Uncertainties External Disturbances and Time-Varying Delay [O] . Wenjun Liu, Guang Chen, Alois Knoll 2020

机译：基于矩阵不等式的车辆考虑模型不确定性外部干扰和时变延迟的鲁棒模型预测控制
7. LMI robust stability condition for linear systems with time-varying element uncertainties, norm-bounded uncertainties and delay perturbations [O] . ZHENG, Liang-An 2013

机译：具有时变元素不确定性，范数界不确定性和时滞扰动的线性系统的LMI鲁棒稳定性条件

Robust H∞-compensator design for time-delaysystems with norm-bounded time-varying uncertainties

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