| 离散奇异时滞系统时滞依赖稳定性分析与镇定 |
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| 引用本文： | 孙欣, 张庆灵, 杨春雨, 邵永运, 苏湛. 离散奇异时滞系统时滞依赖稳定性分析与镇定. 自动化学报, 2010, 36(10): 1477-1483. doi: 10.3724/SP.J.1004.2010.01477 |
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| 作者姓名： | 孙欣 张庆灵 杨春雨 邵永运 苏湛 |
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| 作者单位： | 1.东北大学系统科学研究所 沈阳110004;;2.东北大学流程工业综合自动化教育部重点实验室 沈阳110004;;3.沈阳师范大学 计算机与数学基础教学部 沈阳 110034;;4.大连海事大学交通运输管理学院 大连 116026 |
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| 摘 要： | 分别研究了离散奇异时滞系统时滞依赖稳定性分析与镇定问题. 首先给出了一个新的离散奇异时滞系统时滞依赖容许性充分条件. 经过证明, 所提出的方法与现有结论相比, 具有一定的优势. 然后, 运用矩阵理论技巧，设计出状态反馈控制器保证闭环离散奇异时滞系统是容许的. 最后，两个数值例子说明了所用方法的有效性.
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| 关 键 词： | 离散奇异时滞系统 时滞依赖稳定性 镇定 容许的 状态反馈控制 |
| 收稿时间： | 2009-12-02 |
| 修稿时间： | 2010-07-08 |
Delay-dependent Stability Analysis and Stabilization of Discrete-time Singular Delay Systems |
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| SUN Xin, ZHANG Qing-Ling, YANG Chun-Yu, SHAO Yong-Yun, SU Zhan. Delay-dependent Stability Analysis and Stabilization of Discrete-time Singular Delay Systems. ACTA AUTOMATICA SINICA, 2010, 36(10): 1477-1483. doi: 10.3724/SP.J.1004.2010.01477 |
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| Authors: | SUN Xin ZHANG Qing-Ling YANG Chun-Yu SHAO Yong-Yun SU Zhan |
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| Affiliation: | 1. Institute of Systems Science, Northeastern University, Shenyang 110004, P.R. China;;;2. Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, P.R. China;;;3. Department of Computer and Mathematics Teaching, Shenyang Normal University, Shenyang 110034, P.R. China;;;4. Transportation Management College, Dalian Maritime University, Dalian 116026, P.R. China |
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| Abstract: | In this paper, delay-dependent stability analysis and stabilization of discrete-time singular delay systems are addressed, respectively. First, a new delay-dependent sufficient condition of admissibility for discrete-time singular delay systems is derived. The proposed method is proved to have some advantages over the existing results. Then, by applying the skill of matrix theory, a state feedback controller is designed to guarantee the closed-loop discrete-time singular delay systems to be admissible. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed method. |
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| Keywords: | Discrete-time singular delay systems delay-dependent stability stabilization admissible state feedback control |
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