| 关联时滞广义大系统的分散鲁棒镇定控制器设计 |
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| 引用本文： | 李文姿,仝云旭. 关联时滞广义大系统的分散鲁棒镇定控制器设计[J]. 西北纺织工学院学报, 2011, 0(6): 884-887 |
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| 作者姓名： | 李文姿 仝云旭 |
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| 作者单位： | [1]山西大学商务学院,山西太原030031 [2]陕西师范大学数学与信息科学学院,陕西西安710062 |
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| 摘 要： | 研究一类具有数值界不确定性关联时滞广义大系统的分散鲁棒镇定问题.构造Lyapunov函数,通过适当地放大不等式,利用矩阵Schur补的性质,将问题转化为一组线性矩阵不等式（LMI）的求解问题.给出了系统镇定控制器存在的条件.当条件成立时,给出了分散鲁棒反馈控制律的表示式.数值算例说明了控制器设计方法的可行性.
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| 关 键 词： | 广义大系统 分散鲁棒镇定 关联时滞 线性矩阵不等式（LMI） |
Design of the decentralized robust stabilization controller for the singular large-scale systems with interconnected time delay |
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| LI Wen-zi,TONG Yun-xu. Design of the decentralized robust stabilization controller for the singular large-scale systems with interconnected time delay[J]. Journal of Northwest Institute of Textile Science and Technology, 2011, 0(6): 884-887 |
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| Authors: | LI Wen-zi TONG Yun-xu |
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| Affiliation: | 1.Business College,Shanxi University,Taiyuan 030031,China; 2.College of Mathematics and Information Science,Shaanxi Normal University,Xi′an 710062,China) |
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| Abstract: | The decentralized robust stabilization problem of a class of singular large-scale uncertain systems with time-delay was studied.Lyapunov function is constructed.By properly enlarging inequality and using the Schur-fill nature of matrix,problems are solved by LMI techniques.The existing conditions of decentralized robust state feedback controller are given.An explicit expression for decentralized robust state feedback controller is also given when this condition holds.A numerical example is given to demonstrate the feasibility of the controller. |
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| Keywords: | singular large-scale systems； decentralized robust stabilization； interconnected time delay； linear matrix inequality（LMI）； |
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