| 网络控制系统稳定性的图理论 |
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| 引用本文： | 李金娜,张庆灵,于海斌. 网络控制系统稳定性的图理论[J]. 控制理论与应用, 2009, 26(11): 1309-1315 |
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| 作者姓名： | 李金娜 张庆灵 于海斌 |
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| 作者单位： | 东北大学系统科学研究所,辽宁沈阳,110004;沈阳化工学院数理系,辽宁沈阳,110142;中国科学院沈阳自动化研究所工业信息学研究室,辽宁沈阳,110016;东北大学系统科学研究所,辽宁沈阳,110004;东北大学流程工业综合自动化教育部重点实验室,辽宁沈阳,110004;中国科学院沈阳自动化研究所工业信息学研究室,辽宁沈阳,110016 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 针对具有有界时延和数据包丢失的网络控制系统,提出了一种新的稳定性判据.基于Lyapunov方法和图论理论,给出非线性离散和连续刚络控制系统渐近稳定的充分条件,获得保持这两类系统稳定的最大允许时延界.得到控制器设计方法.并且,利用区间矩阵的谱特征.给出网络控制系统区间稳定的充分条件.设计算法,获得比例积分反馈控制器增益.算例表明所提方法的有效性.
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| 关 键 词： | 网络控制系统 赋权有向图 最大出权度 最大允许时延界 区间稳定性 |
| 收稿时间： | 2007-06-13 |
| 修稿时间： | 2009-05-22 |
Graphic theory on stability of networked control systems |
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| LI Jin-n,ZHANG Qing-ling and YU Hai-bin. Graphic theory on stability of networked control systems[J]. Control Theory & Applications, 2009, 26(11): 1309-1315 |
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| Authors: | LI Jin-n ZHANG Qing-ling YU Hai-bin |
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| Affiliation: | Institute of systems science, Northeastern University, Shenyang Liaoning 110004, China; Department of Mathematics and Physics, Shenyang Institute of Chemical Technology, Shenyang Liaoning 110142, China; Department of Industrial Informatics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang Liaoning110016, China;Institute of systems science, Northeastern University, Shenyang Liaoning 110004, China; Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang Liaoning 110004, China;Department of Industrial Informatics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang Liaoning110016, China; |
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| Abstract: | A new criterion on stability is presented for networked control systems with bounded time-delays and data packet dropout. Based on the Lyapunov method and the graph theory, we develop the sufficient conditions of the asymptotic stability for nonlinear discrete-time and continuous-time networked control systems, respectively. The allowable upper bounds of time-delays that will preserve the stability of the two classes of systems are determined; and the process of controller design is presented. Moreover, a sufficient condition for the interval stability of networked control systems is also given in terms of the spectral characteristics of interval matrices. The gain of the proportional-integral feedbackcontroller can be determined by the algorithm. Numerical examples are given to illustrate the effectiveness of the proposed method. |
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| Keywords: | networked control systems(NCSs) weighted diagraph maximum output weight degree maximum allow-able delay bound interval stability |
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