| 引用本文: | 董学平,聂婧,吴妍.具有Neumann边界的分布参数切换系统的容错控制[J].控制理论与应用,2010,27(11):1525~1530.[点击复制] |
| DONG Xue-ping,NIE Jing,WU Yan.Fault-tolerant control for distributed-parameter switched systems with Neumann boundary conditions[J].Control Theory and Technology,2010,27(11):1525~1530.[点击复制] |
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| 具有Neumann边界的分布参数切换系统的容错控制 |
| Fault-tolerant control for distributed-parameter switched systems with Neumann boundary conditions |
| 摘要点击 1611 全文点击 1392 投稿时间：2010-03-24 修订日期：2010-07-14 |
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| DOI编号 10.7641/j.issn.1000-8152.2010.11.CCTA100295 |
| 2010,27(11):1525-1530 |
| 中文关键词 分布参数系统 切换系统 容错控制 Neumann边界 |
| 英文关键词 distributed-parameter systems switched systems fault-tolerant control Neumann boundary |
| 基金项目 国家自然科学基金资助项目(60974022). |
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| 中文摘要 |
| 本文研究了一类具有Neumann边界条件的分布参数切换系统的容错控制问题. 当执行器失效或部分失效时, 运用Lyapunov函数法和Green公式, 获得了闭环切换系统混杂状态反馈容错控制器存在的充分条件. 然后运用线性矩阵不等式将容错控制器设计问题转化为一组线性矩阵不等式求可行解的问题，因而可以借助MATLAB中线性矩阵不等式工具箱来完成. 同时, 运用Poincare不等式减少控制系统设计的保守性. 最后通过数值算例, 验证所提出设计方法的有效性. |
| 英文摘要 |
| We study the fault-tolerant control for a class of distributed parameter switched systems with Neumann boundary conditions. Under actuator failure or partial failure, the sufficient condition for the existence of a closed-loop switched fault-tolerant controller with hybrid state feedback is obtained based on Lyapunov function method and Green formula. By the linear matrix inequality (LMI) approach, the design of the fault-tolerant controller is converted into finding feasible solutions to a group of LMIs, which can be efficiently carried out by using MATLAB LMI toolbox. Simultaneously, Poincare inequality is used to reduce the conservativeness of the control system design. Finally, a numerical example validates the proposed design method. |