| 一种基于区间分割的时滞系统的镇定控制 |
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| 引用本文：李倩，赵立英，刘贺平.一种基于区间分割的时滞系统的镇定控制[J].计算技术与自动化,2015,(3):1-5 |
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| 中文摘要:通过对网络控制系统的结构分析，建立带有时滞和不确定性的网络控制系统的数学模型.在此模型的基础上，对时滞区间进行分段，通过构造李亚普诺夫泛函，给出矩阵不等式作为使得闭环系统渐进稳定的充分条件，并将此矩阵不等式线性化得到相应的反馈增益矩阵，最后通过数值仿真将时滞上界进行比较来证明此方法的有效性。 |
| 中文关键词:网络控制系统 时滞 李亚普诺夫函数 稳定性分析 线性矩阵不等式 |
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| Stability Control Based on Dividing Time Intervals Approach for Time-delay Systems |
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| Abstract:Through analyzing the structure of the network control systems, we established the mathematical model of the networked control systems with time delay and uncertainty. In this model, on the basis of segmentation to delay interval, and by constructing Lyapunov functions, we obtained the sufficient conditions for the robust stability of the closed-loop system in term of matrix inequalities, and then drew the corresponding feedback gain matrix by linearizing the matrix inequality. Finally, we compared the time delay upper bound got by simulation to prove the effectiveness of this approach. |
| keywords:networked control systems time-delay Lyapunov function stability analysis linear matrix inequalities |
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