Robust Decentralized H_∞ Control of Multi-Channel Uncertain Time-Delay Systems: An LMI Approach

机译：多通道不确定时滞系统的鲁棒分散H_∞控制：LMI方法

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This paper considers a robust decentralized H∞ control problem for uncertain multi-channel time-delay systems. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in the system, time-delay and output matrices. Our interest is focused on dynamic output feedback. A sufficient condition for the uncertain multi-channel time-delay system to be robustly stabilizable with a specified disturbance attenuation level is derived based on the theorem of Lyapunov stability theory. By setting the Lyapunov matrix as block diagonal appropriately according to the desired order of the controller, the sufficient condition is reduced to linear matrix inequalities which are sufficient to the existence condition but much more tractable. A given example shows the efficiency of this method.

机译：本文考虑了不确定的多通道时滞系统的鲁棒分散H∞控制问题。不确定性被假定为时不变的，有范数的，并存在于系统，时延和输出矩阵中。我们的兴趣集中在动态输出反馈上。基于李雅普诺夫稳定性理论，推导了不确定的多通道时滞系统在一定的扰动衰减水平下鲁棒稳定的充分条件。通过根据控制器的所需顺序将Lyapunov矩阵适当地设置为块对角线，可以将充分条件简化为线性矩阵不等式，该等式对于存在条件是足够的，但更易于处理。一个给定的例子显示了这种方法的效率。

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来源
《IEEE International Conference on Mechatronics and Automation; 20060625-28; Luouang(CN)》|2006年|P.367-372|共6页
会议地点 Luouang(CN)
作者
N. Chen; X. Zhang; W. Gui;
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作者单位

School of Information Science and Engineering Central South University Changsha, Hunan,410083,P.R.China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类 TH15;
关键词
multi-channel uncertain systems; time-delay; decentralized H_∞ control; linear matrix inequality (LMI);

机译：多通道不确定系统时滞分散H_∞控制线性矩阵不等式;

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2. Robust and Nonfragile H_∞ Kalman-Type Filter Design for Parameter-Uncertain Time-Delay Systems: PLMI Approach [J] . Yang Seung Hyeop, Park Hong Bae Mathematical Problems in Engineering . 2013,第pta13期

机译：参数不确定时滞系统的鲁棒非脆弱H_∞卡尔曼型滤波器设计：PLMI方法
3. The Design of Decentralized Robust H_∞ Controller for a Class of Uncertain Singular Large-scale System with Time-delay [J] . Xiaoxin Han, Songlin Wo Journal of information and computational science . 2012,第11期

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4. Robust Decentralized H∞ Control of Multi-Channel Uncertain Time-Delay Systems：An LMI Approach [C] . . 2006

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5. Decentralized control of uncertain interconnected time-delay systems. [D] . Momeni, Ahmadreza. 2008

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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

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7. Robust Stabilization for Uncertain Time-delay Systems with Saturating Actuators-LMI Approach [O] . 盧建余 2012

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Robust Decentralized H_∞ Control of Multi-Channel Uncertain Time-Delay Systems: An LMI Approach

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