| 时延网络化控制系统的H2/H∞混合控制 |
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| 引用本文： | 谢林柏,方华京,纪志成,郑 英.时延网络化控制系统的H2/H∞混合控制[J].控制理论与应用,2004,21(6):1020-1024. |
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| 作者姓名： | 谢林柏 方华京 纪志成 郑 英 |
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| 作者单位： | 华中科技大学 控制科学与工程系,湖北 武汉 430074; 江南大学 控制科学与工程研究中心,江苏 无锡 214036 |
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| 基金项目： | 国家自然科学基金项目 (60274014); 智能制造技术教育部重点实验室开放基金项目 (Imtsu-2002-03) |
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| 摘 要： | 针对存在多步随机传输时延的网络化控制系统模型 ,研究了其随机稳定性及H2/H∞混合控制问题 .在一定的系统通信控制模式下 ,网络传输时延可以建模为一个马尔可夫随机过程 ,通过增广系统状态的方法将原系统转化为一个具有随机跳变系数的离散系统 ,同时通过建立随机跳变Lyapunov函数 ,构建了满足系统随机稳定的H∞次优和H2/H∞混合控制状态反馈控制器 .该控制器可通过求解一组耦合的矩阵不等式而得 .
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| 关 键 词： | 网络化控制系统 H2/H∞混合控制 随机时延 马尔可夫过程 |
| 文章编号： | 1000-8152(2004)06-1020-05 |
Mixed H-two/H-infinity control of net worked control systems with delay |
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| XIE Lin-bo,FANG Hua-jing,JI Zhi-cheng,ZHENG Ying.Mixed H-two/H-infinity control of net worked control systems with delay[J].Control Theory & Applications,2004,21(6):1020-1024. |
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| Authors: | XIE Lin-bo FANG Hua-jing JI Zhi-cheng ZHENG Ying |
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| Affiliation: | Department of Automatic Science and Engineering,Huazhong University of Science and Technology,Wuhan Hubei 430074,China; Research center of Control Science and Engineering,Southern Yangtze University,Wuxi Jiangsu 214036,China |
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| Abstract: | Based on the mathematical model of networked control system with multi-step stochastic transmission delay,the problems of the stochastic stability and disturbance attenuation are discussed.It has been showed that the transmission delay can be viewed as a Markov process under certain system communication model and the whole system can be transferred into a generalized discrete-time system with jumping parameters.Then,the suboptimal H-infinity and H-two/H-infinity mixed control state feedback controllers are constructed using stochastic Lyapunov functions,which preserves the stochastic stability of system.These two kinds of controllers are presented through numerical solution of a set of coupled matrix inequalities. The simulation results show the validity of the design methods. |
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| Keywords: | networked control system H-two/H-infinity mixed control stochastic delay Markov process |
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